O objetivo deste trabalho é aplicar o modelo de nuvem mesônica (MCM) aos processos envolvendo colisões hadrônicas e/ ou nucleares. Nós utilizamos o modelo para calcular a distribuição não-singleto de partons no mar dos nucleons, incluindo as contribuições do octeto e decupleto. Demos atenção especial para a diferença entre quarks estranhos e não estranhos do mar, tentando identificar possíveis fontes de quebra de simetria de sabor SU(3). Apresentamos uma análise em termos do parâmetro K e encontramos que a ocorrência da quebra de assimetria de sabor no mar dos nucleons pode ser explicada quantitativamente pela nuvem de mésons. Nós também efetuamos o mesmo tipo de análise para o bárion + e encontramos resultados semelhantes. Com base na idéia de compreender os fenômenos não perturbativos que geram diferentes tipos de assimetria, utilizamos o MCM para estudar a diferença entre a produção de mésons charmosos (D) \"leading\" e \"non-leading\" como função de Xp observadas em colisões 1-A e - A. Um fato interessante dos dados da WA89 e da SELEX é que eles sugerem, apesar das grandes barras de erro e da pouca estatística, que a assimetria decresce em Xp muito grande. Com o modelo de nuvem mesônica nós podemos reproduzir estes dados e observar uma possível queda na assimetria. Tendo em vista os bons resultados do modelo na descrição de processos não perturbativos em colisões à altas energias, realizamos um estudo sobre o fator de forma eletromagnético do píon, baseado na decomposição do píon em estados de nuvem. Comparando nossos resultados com os dados experimentais divulgados pela F Collaboration do Jefferson Laboratory, podemos concluir que a composição dos estados de nuvem do píon não é o efeito dominante na descrição do seu fator de forma eletromagnético, e consequentemente, na sua estrutura interna. / The purpose of this work is to apply the meson cloud model (MCM) in processes involving either hadronic or nuclear collisions. We have calculated the non-singlet parton distribution in the nucleon sea, including the octet and decuplet contributions. We gave special attention to the difference between strange and non-strange sea quarks, trying to identify possible SU(3) flavor symmetry breaking sources. We present an analysis in terms of K parameter and we find that the flavor symmetry breaking in the nucleon sea can be explained quantitatively by the meson cloud. We have also performed the same analysis for the + baryon and we found similar results. We used the MCM to study the difference between \"leading\" and \"non-leading\" charmed mesons (D) observed in -A and -A collisions. An interesting feature in SELEX and WA89 data is that they suggest, in spite of the large error bars and poor statistics, that the asymmetry decreases at large F With the meson cloud model we can reproduce these data and observe this trend in the asymmetry. Motivated by the good results in describing non-perturbative processes in high energy collisions, we have done a study of the pion electromagnetic form factor, based on a pion decomposition in cloud states. Comparing our results with the experimental data reported by Jefferson Lab. F Collaboration, we can conclude that the meson cloud of the pion is not the dominant effect to describe its electromagnetic form factor, and hence, its internal structure.

abstract: In this thesis, I present the study of nucleon structure from distinct perspectives. I start by elaborating the motivations behind the endeavors and then introducing the key concept, namely the generalized parton distribution functions (GPDs), which serves as the frame- work describing hadronic particles in terms of their fundamental constituents. The second chapter is then devoted to a detailed phenomenological study of the Virtual Compton Scattering (VCS) process, where a more comprehensive parametrization is suggested. In the third chapter, the renormalization kernels that enters the QCD evolution equations at twist- 4 accuracy are computed in terms of Feynman diagrams in momentum space, which can be viewed as an extension of the work by Bukhvostov, Frolov, Lipatov, and Kuraev (BKLK). The results can be used for determining the QCD background interaction for future precision measurements. / Dissertation/Thesis / Doctoral Dissertation Physics 2016

O objetivo deste trabalho é aplicar o modelo de nuvem mesônica (MCM) aos processos envolvendo colisões hadrônicas e/ ou nucleares. Nós utilizamos o modelo para calcular a distribuição não-singleto de partons no mar dos nucleons, incluindo as contribuições do octeto e decupleto. Demos atenção especial para a diferença entre quarks estranhos e não estranhos do mar, tentando identificar possíveis fontes de quebra de simetria de sabor SU(3). Apresentamos uma análise em termos do parâmetro K e encontramos que a ocorrência da quebra de assimetria de sabor no mar dos nucleons pode ser explicada quantitativamente pela nuvem de mésons. Nós também efetuamos o mesmo tipo de análise para o bárion + e encontramos resultados semelhantes. Com base na idéia de compreender os fenômenos não perturbativos que geram diferentes tipos de assimetria, utilizamos o MCM para estudar a diferença entre a produção de mésons charmosos (D) \"leading\" e \"non-leading\" como função de Xp observadas em colisões 1-A e - A. Um fato interessante dos dados da WA89 e da SELEX é que eles sugerem, apesar das grandes barras de erro e da pouca estatística, que a assimetria decresce em Xp muito grande. Com o modelo de nuvem mesônica nós podemos reproduzir estes dados e observar uma possível queda na assimetria. Tendo em vista os bons resultados do modelo na descrição de processos não perturbativos em colisões à altas energias, realizamos um estudo sobre o fator de forma eletromagnético do píon, baseado na decomposição do píon em estados de nuvem. Comparando nossos resultados com os dados experimentais divulgados pela F Collaboration do Jefferson Laboratory, podemos concluir que a composição dos estados de nuvem do píon não é o efeito dominante na descrição do seu fator de forma eletromagnético, e consequentemente, na sua estrutura interna. / The purpose of this work is to apply the meson cloud model (MCM) in processes involving either hadronic or nuclear collisions. We have calculated the non-singlet parton distribution in the nucleon sea, including the octet and decuplet contributions. We gave special attention to the difference between strange and non-strange sea quarks, trying to identify possible SU(3) flavor symmetry breaking sources. We present an analysis in terms of K parameter and we find that the flavor symmetry breaking in the nucleon sea can be explained quantitatively by the meson cloud. We have also performed the same analysis for the + baryon and we found similar results. We used the MCM to study the difference between \"leading\" and \"non-leading\" charmed mesons (D) observed in -A and -A collisions. An interesting feature in SELEX and WA89 data is that they suggest, in spite of the large error bars and poor statistics, that the asymmetry decreases at large F With the meson cloud model we can reproduce these data and observe this trend in the asymmetry. Motivated by the good results in describing non-perturbative processes in high energy collisions, we have done a study of the pion electromagnetic form factor, based on a pion decomposition in cloud states. Comparing our results with the experimental data reported by Jefferson Lab. F Collaboration, we can conclude that the meson cloud of the pion is not the dominant effect to describe its electromagnetic form factor, and hence, its internal structure.

Das Standardmodell der Teilchenphysik hat sich bis heute, mit Ausnahme der allgemeinen Relativitätstheorie, als erfolgreichste Theorie zur Beschreibung der Natur erwiesen. Störungstheoretische Rechnungen für bestimmte Mengen in Quantenchromodynamik (QCD) haben bisher unerreicht präzise Vorraussagen ermöglicht, die experimentell nachgewiesen wurden. Trotz dieser Erfolge gibt es Teile des Standardmodells und Energieskalen bei denen die Störungstheorie versagt und man nach Alternativen suchen muss. Vieles können wir hierbei verstehen, indem wir eine ähnliche Theorie untersuchen, die sogenannte planare N=4 Super Yang-Millstheorie in vier Dimensionen (N=4 SYM). Es existieren viele Indizien dafür, dass die Theorie exakte Lösungen zulässt. Dies lässt sich zurückführen auf die Integrabilität der Theorie, eine unendlich dimensionale Symmetriealgebra, die die Theorie stark einschränkt. Neben besagter Integrabilität besitzt diese Theorie auch andere spezielle Eigenschaften. So ist sie des am besten verstandenen Beispiels der Eich-/Gravitations Dualität durch die AdS/CFT Korrespondenz. Ausserdem sind die Streuamplituden von Gluonen auf Baumgraphenniveau in N=4 SYM die selben wie in Quantenchromodynamik. Diese Streuamplituden besitzen eine elegante Struktur und stellen sich als deutlich simpler heraus, als die dazugehörigen Feynmangraphen vermuten lassen. Tatsächlich umgehen viele der zur Berechnung von Streuamplituden entwickelten Masseschalenmethoden die Feynmangraphen, indem sie vorrübergehend manifeste Unitarität und Lokalität aufgeben und dadurch die Rechnungen stark vereinfachen. Alle diese Entwicklungen suggerieren, dass der konventionelle Formalismus der Theorie mit Hilfe der Wirkung im Minkowskiraum nicht der aufschlussreichste oder effizienteste Weg ist, die Theorie zu untersuchen. Diese Arbeit untersucht der Hypothese, ob dass stattdessen Twistorvariablen besser geeignet sind, die Theorie zu beschreiben. Der Twistorformalismus wurde zuerst von Roger Penrose eingeführt. Auf dem klassischen Level ist die holomorphe Chern-Simonstheorie im Twistorraum äquivalent zur klassischen selbst-dualen Yang-Mills Lösung in der Raumzeit. Die volle Twistorwirkung, welche eine Störung um diesen klassisch integrablen Sektor ist und durch eine Eichbedingung auf die N=4 SYM Wirkung reduziert werden kann, produziert unter einer anderen Eichbedingung alle sogenannten maximalhelizitätsverletzenden (MHV) Amplituden auf Baumgraphenniveau. Durch die Einführung eines Twistorpropagators konnten auch NkMHV Amplituden effizient beschrieben werden. In dieser Arbeit erweitern wir den Twistorformalismus um auch Größen, die sich nicht auf den Masseschalen befinden, beschreiben zu können. Wir untersuchen alle lokalen eichinvarianten zusammengesetzten Operatoren im Twistorraum und zeigen, dass sie alle Baumgraphenniveau-Formfaktoren des sogenannten MHV-Typs erzeugen. Wir erweitern diese Methode zu NMHV und öher NkMHW Level in Anlehnung an die Amplituden. Schliess lich knüpfen wir an die Integrabilität an, indem wir den ein-Schleifen Dilatationsoperator in dem skalaren Sektor der Theorie im Twistorraum berechnen. / The Standard Model of particle physics has proven to be, with the exception of general relativity, the most accurate description of nature to this day. Perturbative calculations for certain quantities in Quantum Chromo Dynamics (QCD) have led to the highest precision predictions that have been experimentally verified. However, for certain sectors and energy regimes, perturbation theory breaks down and one must look for alternative methods. Much can be learned from studying a close cousin of the standard model, called planar N = 4 super Yang-Mills theory in four dimensions (N = 4 SYM), for which a lot of evidence exists that it admits exact solutions. This exact solvability is due to its quantum integrability, a hidden infinite symmetry algebra that greatly constrains the theory, which has led to a lot of progress in solving the spectral problem. Integrability aside, this non-Abelian quantum field theory is special in yet other ways. For example, it is the most well understood example of a gauge/gravity duality via the AdS/CFT correspondence. Furthermore, at tree level the scattering amplitudes in its gluon sector coincide with those of Quantum Chromo Dynamics. These scattering amplitudes exhibit a very elegant structure and are much simpler than the corresponding Feynman diagram calculation would suggest. Indeed, many on-shell methods that have been developed for computing these scattering amplitudes circumvent the tedious Feynman calculation, by giving up manifest unitarity and locality at intermediate stages of the calculation, greatly simplifying the work. All these developments suggest that the conventional way in which the theory is presented, i.e. in terms of the well- known action on Minkowski space, might not be the most revealing or in any case not the most efficient way. This thesis investigates whether instead twistor variables provide a more suitable description. The twistor formalism was first introduced by Roger Penrose. At the classical level, a holomorphic Chern-Simons theory on twistor space is equivalent to classically integrable self-dual Yang-Mills solutions in space-time. A quantum perturbation around this classically integrable sector reduces to the conventional N = 4 SYM action by imposing a partial gauge condition. This action generates all so-called maximally helicity violating (MHV) amplitudes at tree level directly, when a different gauge was chosen. By including a twistor propagator into the formalism, also higher degree NkMHV amplitudes can be described efficiently. In this thesis we extend this twistor formalism to encompass (partially) off-shell quantities. We describe all gauge-invariant local composite operators in twistor space and show that they immediately generate all tree-level form factors of the MHV type. We use the formalism to compute form factors at NMHV and higher NkMHV level in parallel to how this was done for amplitudes. Finally, we move on to integrability by computing the one-loop dilatation operator in the scalar sector of the theory in twistor space.

Wir präsentieren eine Forschungsstudie zur Berechnung des Formfaktors f_+(q^2) für den semileptonischen Zerfall B_s -> K l nu in Gitter-QCD-Simulationen im großen Volumen mit zwei dynamischen Seequark-Flavours mit O(a)-verbesserten Wilson-Fermionen. Wir diskutieren die Berechnung relevanter Zwei- und Dreipunkt-Funktionen und betrachten komplementäre Methoden diese zu kombinieren, um den Formfaktor zu erhalten. Insbesondere stellen wir die Strategie eines kombinierten Fits vor, in den Datenpunkte aller Korrelatoren eingehen und der als Fitparameter Energien, Amplituden und den Formfaktor hat. Das b-Quark wird in HQET behandelt; unsere momentane Analyse konzentriert sich auf den statischen Grenzfall. Indes haben wir den Code für alle nötigen O(1/m_h)-Korrekturen entwickelt und die Messungen dieser durchgeführt; sie werden verwendet werden, sobald ihre Koeffizienten von der ALPHA-Kollaboration bestimmt worden sein werden. Um den Formfaktor auf allen Ensembles bei dem gleichen Wert des Impulsübertrags q^2 bestimmen zu können, führen wir getwistete Randbedingungen für das s- und das b-Quark ein, die ein freies Einstellen der Quarkimpulse und damit von q^2 ermöglichen. Wir führen Messungen auf einer Untermenge von N_f=2 CLS Eichkonfigurationen durch und erhalten den Formfaktor bei drei verschiedenen Gitterabständen und etwa gleicher Pionmasse von ungefähr 330 MeV. Wir benutzen diese, um eine Kontinuumsextrapolation durchzuführen, und beobachten, dass diese relativ flach in a^2 ist. Eine Messung bei einer unterschiedlichen Pionmasse deutet an, dass Quarkmassen-Effekte klein sind. Wir vergleichen unseren Kontinuumswert des Formfaktors mit kürzlich veröffentlichten Ergebnissen anderer Kollaborationen und stellen eine gute Übereinstimmung fest. / We present an exploratory study of the calculation of the form factor f_+(q^2) for the semileptonic decay B_s -> K l nu in large-volume lattice QCD simulations with two dynamical sea quark flavours using O(a) improved Wilson fermions. We discuss the computation of relevant two- and three-point functions and consider complementary methods how these can be combined to obtain the form factor. In particular, we put forward the strategy of a combined fit in which data of all correlators enter and which has as fit parameters energies and amplitudes of the correlators and the form factor. The b quark is treated in HQET; our present analysis focuses on the static limit. Meanwhile, we have developed the code and performed the measurements of all needed O(1/m_h) corrections which will be used as soon as their coefficients will have been computed by the ALPHA collaboration. In order to be able to measure the form factor at the same value of the momentum transfer q^2 on all ensembles, we impose twisted boundary conditions on the s and b quarks that allow for a free tuning of the quark momenta and thus of q^2. We perform measurements on a subset of N_f=2 CLS gauge configurations, obtaining the form factor at three different lattice spacings and roughly the same pion mass of about 330 MeV. Using these, we carry out a continuum extrapolation and observe that it is relatively flat in a^2. A measurement at a different pion mass indicates that quark mass effects are small. We compare our continuum value of the form factor with recently published results of other collaborations and observe a good agreement.

Les facteurs de forme et les fonctions de corrélation déterminent les quantités dynamiques mesurables associées aux modèles de théorie des champs et de mécanique statistique. Dans le cas de modèles intégrables en dimension 2, au-delà des propriétés du spectre ou de la fonction de partition, un des grands défis actuels concerne le calcul exact des facteurs de forme et des fonctions de corrélation.Le but de cette thèse est de développer une approche permettant de résoudre ce problème dans le cadre de la méthode de séparation des variables quantique de Skyanin. Cette méthode généralise au cas quantique et pour des systèmes avec un grand nombre de degrés de liberté la méthode de Hamilton-Jacobi en mécanique analytique. Le Hamiltonien est exprimé avec des opérateurs séparés, son spectre et ses états propres caractérisés par un système d'équations de Baxter résultant des structures algébriques de Yang-Baxter, caractéristiques de l'intégrabilité de ces modèles.Cette thèse a permis, pour les modèles de sine-Gordon (théorie des champs quantique) et de Potts chiral (modèle de physique statistique), le calcul des produits scalaires entre états propres du Hamiltonien, la résolution du problème inverse, i. e. l'expression des opérateurs du modèle en termes des variables séparées, ainsi que le calcul en termes de déterminants des facteurs de forme, i. e. des éléments de matrice des opérateurs locaux du modèle dans la base propre du Hamiltonien, ce qui constitue un pas important vers le calcul des fonctions de corrélation de ces modèles. / Form factors and correlation functions determine the measurable dynamic quantities that are associated with field theories and statistical physics models. In the case of 2-dimensional integrable models, one of the main challenges beyond spectrum properties and partition function is the exact computation of form factors and correlation functions.The aim of this thesis is to develop an approach in the framework of Sklyanin's separation of variables to address this problem. This framework generalizes to the quantum case and for systems with many degrees of freedom the Hamilton-Jacobi method from analytical mechanics. The Hamiltonian is expressed in terms of separated operators, its spectrum and eigenvectors are characterized by a system of Baxter equations. These Baxter equations are a consequence of Yang-Baxter relations that are characteristic of these models being integrable.The result of this thesis is, in the case of the sine-Gordon model (quantum field theory) and of the chiral Potts model (statistical physics model), the computation of scalar products of Hamiltonian eigenstates, the resolution of the inverse problem (expressing the model operators in terms of separated variables) and the computation in terms of determinant of form factors (the matrix elements of the model local operators in the Hamiltonian eigenbasis), which is an important step towards the computation of the correlation functions of these models.

NIL

In this thesis, we investigate the masses, form factors and magnetic dipole moments of some light octet, decuplet and heavy baryons containing a single heavy quark in the framework of the light cone QCD sum rules. The magnetic dipole moments can be measured considering radiative transitions within a multiplet or between multiplets. Analyzing the transitions among the baryons and calculating the above mentioned parameters can give us insight into the structure of those baryons. In analyzing the aforementioned processes, the transition form factors play a crucial role. In this thesis, the form factors for these transitions are calculated using the light cone QCD sum rules approach. In the limit when the light quark masses are equal, mu = md = ms, QCD has an SU(3) flavour symmetry which can be used to classify the light baryons. This classification results in the light decuplet, octet and singlet baryons. The baryons containing single heavy quark, on the other hand, can be classified according to the spin of the light degrees of freedom in the heavy quark limit, mQ -&gt / infinity. QCD at low energies, when the baryons are formed, is a non-perturbative theory. Hence, for phenomenology of the baryons, the QCD sum rules as a more powerful non-perturbative approach is used. Understanding the properties of nucleons is one of the main objectives of QCD. To investigate the properties of the nucleons, the axial N-Delta(1232) transition form factors are calculated within the light cone QCD sum rules method. A comparison of our results on those form factors with the predictions of lattice QCD and quark model is presented. The nucleon electromagnetic form factors are also calculated in the same framework using the most general form of the nucleon interpolating current. Using two forms of the distribution amplitudes (DA&rsquo / s), predictions for the form factors are presented and compared with existing experimental data. It is shown that our results describe the existing experimental data remarkably well. Another important property of the baryons is their magnetic moments. The magnetic moments of the heavy Xi_Q (Q = b or c) baryons containing a single charm or bottom quark are calculated within the light cone QCD sum rules approach. A comparison of our results with the predictions of other approaches, such as relativistic and nonrelativistic quark models, hyper central model, Chiral perturbation theory, soliton and skyrmion models is presented. Moreover, inspired by the results of recent experimental discoveries for charm and bottom baryons, the masses and magnetic moments of the heavy baryons with J^2P = 3/2^+ containing a single heavy quark are studied also within the light cone QCD sum rules method. Our results on the masses of heavy baryons are in good agreement with predictions of other approaches, as well as with the existing experimental values. Our predictions on the masses of the states, which are not experimentally discovered yet, can be tested in the future experiments. A comparison of our results on the magnetic moments of these baryons and the hyper central model predictions is also presented.

This master’s thesis is engaged in usage of cluster analysis for ECG signal to separate normal QRS complexes from abnormal ones. For this, it is used two algorithms created in professional computing interface MATLAB. The outputs from this master’s thesis are dendrograms, which divide QRS complexes into abnormal and normal clusters, and Pearson correlation coefficients.

In this thesis, several properties of baryons are studied using the chiral quark model. The chiral quark model is a theory which can be used to describe low energy phenomena of baryons. In Paper 1, the chiral quark model is studied using wave functions with configuration mixing. This study is motivated by the fact that the chiral quark model cannot otherwise break the Coleman–Glashow sum-rule for the magnetic moments of the octet baryons, which is xperimentally broken by about ten standard deviations. Configuration mixing with quark-diquark components is also able to reproduce the octet baryon magnetic moments very accurately. In Paper 2, the chiral quark model is used to calculate the decuplet baryon magnetic moments. The values for the magnetic moments of the ++and− are in good agreement with the experimental results. The total quark spin polarizations are also calculated and are found to be significantly smaller than the non-relativistic quark model results. In Paper 3, the weak form factors for semileptonic octet baryon decays are studied in the chiral quark model. The “weak magnetism” form factors are found to be consistent with the conserved vector current (CVC) results and the induced pseudotensor form factors, which seem to be model independent, are small. The results obtained are in general agreement with experiments and are also compared with other model calculations. / QC 20100618