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We present the new framework based on BFKL and DGLAP evolution equations in which the leading in(Q(_2)) and in(l/x) terms are treated on equal footing. We introduce a pair of coupled integro-difFerential equations for the quark singlet and the unintegrated gluon distribution. The observable structure functions are calculated using high energy factorisation approach. We also include the sub-leading in (l/x) effects via consistency constraint. We argue that the use of this constraint leads to more stable solution to the Pomeron intercept than that based on the NLO calculation of the BFKL equation alone and generates resummation to all orders of the major part of the subleading in (l/x) effects. The global fit to all available deep inelastic data is performed using a simple parametrisation of the non-perturbative region. We also present the results for the longitudinal structure function and the charm component of the F(_2) structure function. Next; we extend this approach to the low Q(^2) domain. At small distances we use the perturbative approach based on the unified BFKL/DGLAP equations and for large distances we use Vector Meson Dominance Model and, for the higher mass qq states, the additive quark approach. We show the results for the total cross section and for the ratio of the longitudinal and transverse structure functions. Finally, we calculate the dijet production and consider the decorrelation effects in the azimuthal distributions caused by the diffusion in the transverse momentum k(_r) of the exchanged gluon. Using the gluon distribution which is fixed by the fit to the DIS data we are able to make absolute predictions. We show the results for the dF(_r)/dɸ, the total cross section and also the distributions in Q(^2) as well as in the longitudinal momentum fraction of the gluon. Our theoretical predictions are confronted with the measurements made using ZEUS detector at HERA.

La théorie de la chromodynamique quantique prédit l’existence d’un état déconfiné de la matière appelé Plasma de Quarks et de Gluons (PQG). Expérimentalement, la formation d’un PQG est attendue sous les conditions extrêmes de température et de densité atteintes lors de collisions d’ions lourds ultra-relativistes. Afin d’observer et de caractériser de manière indirecte un tel état de la matière, de nombreuses observables ont été proposées. En particulier, les phénomènes de suppression et de(re)combinaison du meson J/Ψ dans le PQG sont intensément étudiés. Cette thèse présente l’analyse de la production inclusive de J/Ψ dans les collisions Pb-Pb, à une énergie dans le centre de masse √sNN = 2,76 TeV, détectés avec le spectromètre à muons de l’expérience ALICE au LHC. A partir de la statistique élevée d’événements collectés lors de la prise de données de 2011, le facteur de modification nucléaire du J/Ψ a été mesuré en fonction de son impulsion transverse, de sa rapidité et de la centralité de la collision. L’impulsion transverse moyenne du J/Ψ a également été mesurée en fonction de la centralité. Les prédictions des modèles théoriques, incluant tous une contribution de (re)combinaison, présentent un bon accord avec les données. Enfin, un excès de J/Ψ de très faible impulsion transverse (<300 MeV/c) par rapport à la production hadronique attendue a été observé pour la première fois. / The quantum chromodynamics theory predicts the existence of a deconfined state of matter called Quark Gluon Plasma (QGP). Experimentally, the formation of a QGP is expected under the extreme conditions of temperature and density reached in ultra-relativisticheavy-ion collisions. Many observables were proposed to observe and characterize indirectly such a state of matter. In particular, the phenomena of suppression and (re)combination of the J/Ψ meson in the QGP are extensively studied. This thesis presents the analysis of the inclusive production of J/Ψ in Pb-Pb collisions, at a center of mass energy √sNN = 2.76 TeV, detected with the ALICE muon spectrometer at the LHC. From the high statistics of events collected during 2011 datataking, the J/Ψ nuclear modification factor was measured as a function of transverse momentum, rapidity and collision centrality. The J/Ψ mean transverse momentum was also measured as a function of centrality. The predictions of theoretical models, all including a (re)combination contribution, are in good agreement with data. Finally, an excess of J/Ψ yield at very low transverse momentum (<300 MeV/c) with respect to the expected hadronic production was observed fort he first time.

In this thesis we aim to test if Landau\'s two-component superfluid model is compatible with the quark-gluon-plasma description. We follow the test proposed by Chernodub et. al. [Two-component liquid model for the quark-gluon plasma. Theor. Math. Phys., v. 170, p. 211&ndash;216, 2012]. We start by reviewing the building process of a field theory with gauge symmetries and discussing the conservation laws associated to the theory&rsquo;s symmetries. We explore the thermodynamic approach to quantum theory and the interesting fact that, when combined with a field theory, the path-integral formulation for quantum field theories emerges naturally. We also present the necessity of introducing a momentum cutoff into the theory and show that embedding space-time on a lattice is a way to introduce this cutoff and renormalize the theory. As a bonus, this also allows the numerical and non-perturbative evaluation of observables. We overview the phenomenological aspects of relativistic heavy-ion collisions and Landau&rsquo;s two-component model for superfluids, along with a quantum-field-theory motivation for it, and explain details of the test proposed by Chernodub et. al.. Lastly, we show the implementation details of our simulation along with results. We do not see evidence that the proposed superfluid model is able to describe the plasma. We speculate that this might be caused by the absence of fermions in our simulations. / Nesta tese nosso objetivo é testar se o modelo de Landau de duas componentes para superfluidos é compatível com a descrição do plasma de quarks e glúons. Seguimos o teste proposto por Chernodub et. al. [Two-component liquid model for the quark-gluon plasma. Theor. Math. Phys., v. 170, p. 211&ndash;216, 2012]. Começamos revisando o processo de construção de uma teoria de campo com simetria de gauge e discutindo as leis de conservação associadas às simetrias da teoria. Exploramos a abordagem termodinâmica para teoria quântica e o interessante fato de que, quando combinada com uma teoria de campo, a formulação de integrais de trajetória para teorias quânticas de campo emerge naturalmente. Também apresentamos a necessidade de se introduzir um corte de momento na teoria, e mostramos que embutir o espaço-tempo em uma rede é um meio de introduzir o corte na teoria e renormalizá-la. Como um bônus, isso também permite o cálculo numérico e não-perturbativo de observáveis. Apresentamos um panorama dos aspectos fenomenológicos da colisão de íons pesados relativísticos e o modelo de duas componentes de Landau para superfluidos, bem como uma motivação de teoria quântica de campo para ele, e explicamos detalhes do teste proposto por Chernodub et. al.. Por fim, mostramos os detalhes de nossa implementação juntamente com nossos resultados. Não vemos evidência de que o modelo de superfluidod proposto seja capaz de descrever o plasma. Nós especulamos que isto possa ser causado pela ausência de férmions em nossas simulações.

A determinação da massa de raios cósmicos ultra energéticos é uma questão em aberto devido a flutuação natural da primeira interação e o desconhecimentos da seção de choque para altas energias (E > 1017 eV). Alguns estudos (1) mostraram que modificações sistemáticas das propriedades em interações hadrônicas interfere significativamente no desenvolvimento de chuveiros atmosféricos extensos e, consequentemente, provêm diferentes interpretações para os resultados de raios cósmicos. No limite de altas energias, pode ocorrer a saturação de glúons na superfície nuclear, o que resulta no aumento da seção de choque próton-próton e próton-núcleo em relação ao modelo de Glauber. A seção de choque cresce com a energia e está relacionada com a função de distribuição de probabilidade de encontrar um centro espalhado que é maior no modelo de saturação de glúons. Neste trabalho analisamos a seção de choque próton-ar e núcleo-ar para energias acima de 1018 eV usando a hipótese da saturação de glúons (2). Implementamos a saturação de glúons no modelos de interações hadrônicas de altas energia SIBYLL e estudamos o desenvolvimento do chuveiro atmosférico extenso usando o programa CORSIKA. Comparamos os resultados com a taxa de elongação medida pelo Observatório Pierre Auger. Concluímos mostrando o efeito da saturação de glúons na interpretação na composição da massa de raios cósmicos ultra energéticos. / The determination of the composition of ultra high energy cosmic rays is an open question due to natural fluctuations of the first interaction point and unknow high energy cross sections. Some studies (1) have shown that systematic modifications in the hadronics interaction properties infer significantly in the development of extensive air showers and, consequently, provides different interpretations of cosmic ray results. In high energy limit (E > 1018eV), gluon saturation may occur in the nuclear surface region, so that the cross section proton-proton and proton-nucleus increase more rapidly with incident energy than Glauber theory. The cross section rise with energy is related to the probability distribution function of scattering centers which is larger for gluon saturation models. In this work we analyze the cross section proton-proton and proton-nucleus at energies above 1018 eV using the gluon saturation hypothesis (2). We implemented the gluon saturation physics in the SIBYLL hadronic interaction model and we studied the development of the air shower using the CORSIKA program. Different extrapolation models of high energy interaction with gluon interaction have been implemented in SIBYLL. We compared the simulation results using gluon saturation with the measured elongation rate published by the Pierre Auger Collaborations. We conclude by showing the effect of gluon saturation in the interpretation of cosmic ray by composition.

O objetivo desse trabalho é estudar aplicações da correspondência AdS/CFT na descrição de plasmas fortemente acoplados similares ao plasma de quarks e glúons (PQG) produzido em colisões de íons pesados no RHIC e no LHC. O projeto está articulado em duas partes. Inicialmente estudamos como alguns observáveis, como a taxa de produção de fótons e diléptons, são afetados por anisotropias espaciais presentes no plasma. Isso é importante porque o PQG produzido em experimentos do mundo real tipicamente começa em configurações de alta anisotropia, que depois evoluem para configurações isotrópicas. Para modelar a anisotropia a acoplamento forte fizemos uso de uma solução de buraco negro de supergravidade do tipo IIB encontrada recentemente em arXiv:1105.3472/hep-th. Como segunda direção de pesquisa e novamente focando em aplicações da correspondência AdS/CFT na descrição do PQG, investigamos teorias de gravidade de Lovelock, que são generalizações naturais da teoria de relatividade geral de Einstein. Essas teorias contém termos com derivadas de ordem superior ao mesmo tempo que mantém equações do movimento de segunda ordem, e por isso constituem uma arena ideal para começar a entender como termos de derivada de ordem superior afetam vários observáveis físicos do plasma. / The aim of this work is to study applications of the AdS/CFT correspondence to strongly coupled plasmas similar to the quark-gluon plasma (QGP) produced in heavy ion collisions at RHIC and LHC. The project is articulated in two parts. Initially, we will study how some observables, such as photon and dilepton production rates, are affected by spatial anisotropies present in the plasma. This is important, since the QGP produced in real world experiments generically starts in highly anisotropic configurations, which later evolve towards isotropy. To model anisotropy at strong coupling we will make use of an anisotropic black hole solution of type IIB supergravity which has been recently obtained in arXiv:1105.3472/ hep-th. As a second direction of research and again focusing on applications of the AdS/CFT correspondence to the QGP, we will investigate Lovelock theories of gravity, which are natural generalizations of Einsteins general relativity. These theories contain higher derivative terms, while maintaining the equations of motion of second order, and constitute an ideal arena where to start understanding how higher derivative corrections affect various physical observables of the plasma.

A correspondência AdS/CFT é uma notável ferramenta no estudo de teorias de gauge fortemente acopladas que podem ser mapeadas em uma descrição gravitacional dual fracamente acoplada. A correspondência é melhor entendida no limite em que ambos $N$ e $\\lambda$, o rank do grupo de gauge e o acoplamento de \'t Hooft da teoria de gauge, respectivamente, são infinitos. Levar em consideração interações com termos de curvatura de ordem superior nos permite considerar correções de $\\lambda$ finito. Por exemplo, a primeira correção de acoplamento finito para supergravidade tipo IIB surge como um termo de curvatura com forma esquemática $\\alpha\'^3 R^4$. Neste trabalho investigamos correções de curvatura no contexto da gravidade de Lovelock, que é um cenário simples para investigar tais correções pois as suas equações de movimento ainda são de segunda ordem em derivadas. Esse cenário também é particularmente interessante do ponto de vista da correspondência AdS/CFT devido a sua grande classe de soluções de buracos negros assintoticamente AdS. Consideramos um sistema de gravidade AdS-axion-dilaton em cinco dimensões com um termo de Gauss-Bonnet e encontramos uma solução das equações de movimento, o que corresponde a uma black brane exibindo uma anisotropia espacial, onde a fonte da anisotropia é um campo escalar linear em uma das coordenadas espaciais. Estudamos suas propriedades termodinâmicas e realizamos a renormalização holográfica usando o método de Hamilton-Jacobi. Finalmente, usamos a solução obtida como dual gravitacional de um plasma anisotrópico fortemente acoplado com duas cargas centrais independentes, $a eq c$. Calculamos vários observáveis relevantes para o estudo do plasma, a saber, a viscosidade de cisalhamento sobre densidade de entropia, a força de arrasto, o parâmetro de jet quenching, o potencial entre um par quark-antiquark e a taxa de produção de fótons. / The AdS/CFT correspondence is a remarkable tool in the study of strongly coupled gauge theories which can be mapped to a dual, weakly coupled gravitational description. The correspondence is best understood in the limit in which both $N$ and $\\lambda$, the rank of the gauge group and the \'t Hooft coupling of the gauge theory, respectively, are infinite. Accounting for higher curvature interactions allows one to begin to consider finite $\\lambda$. For example, the leading finite coupling corrections to type IIB supergravity arise as stringy corrections with schematic form $\\alpha\'^3 R^4$. In this work we investigate higher curvature corrections in a simpler scenario, the Lovelock gravity. Lovelock gravity is a nice framework to investigate such corrections since its equations of motion are still second order in derivatives and is particularly interesting from the point of view of the AdS/CFT correspondence because a large class of asymptotically AdS black holes solutions are known. We consider five-dimensional AdS-axion-dilaton gravity with a Gauss-Bonnet term and find a solution of the equations of motion which corresponds to a black brane exhibiting a spatial anisotropy, with the source of the anisotropy being an axion field linear in one of the spatial coordinates. We study its thermodynamics and we carry out the holographic renormalization using the Hamilton-Jacobi approach. Finally, we use the solution as a gravity dual to a strongly coupled anisotropic plasma with two independent central charges, $a eq c$. We compute several observables relevant to the study of the plasma, namely, the shear viscosity over entropy density ratio, the drag force, the jet quenching parameter, the quarkonium potential and the thermal photon production.

O Plasma de Quarks e Glúons é um novo estado da matéria criado brevemente em colisões nucleares de alta energia no RHIC (acelerador localizado no Brookhaven National Laboratory) e no LHC (acelerador do CERN, na Suíça). Para pesquisar suas propriedades e estado inicial, várias análises e métodos são usados. Neste mestrado, foi pesquisada a recém proposta Análise em Componentes Principais para multiplicidade e fluxo anisotrópico. É discutida sua sensibilidade ao tamanho das inomogeneidades no estado inicial bem como (de maneira indireta) ao tipo de condições iniciais e energia da colisão. Foi feita também uma comparação com dados experimentais recém obtidos pela colaboração CMS do LHC. O resultado talvez mais promissor é a diferença qualitativa entre dados de flutuações de multiplicidade e resultados de simulações hidrodinâmicas com certas condições iniciais. / The Quark Gluon Plasma is a new state of matter created briefly in high energy nuclear collisions at RHIC (accelerator located at Brookhaven National Laboratory) and at LHC (accelerator at CERN, Switzerland). To research its properties and initial state, many analysis and methods are used. In this master, the recently proposed Principal Component Analysis was studied for multiplicity and anisotropic flow. Its sensitivity to the size of inhomogeneities in the initial state as well as (indirectly) to the kind of initial conditions and collision energy is discussed. Also, a comparison was done with experimental data recently obtained by the CMS collaboration from LHC. Maybe, the most promising result is the qualitative difference between data from multiplicity fluctuations and results from hydrodynamic simulations with different initial conditions.

Diese Arbeit beschäftigt sich mit der Berechnung von für die Struktur des Nukleons relevanten Observablen, die experimentell durch inklusive und semi-inklusive Streuexperimente bestimmt werden können. Es werden zwei Pilotstudien erörtert, welche die Spin- und Impulsstruktur des Nukleons mithilfe von Gitter-QCD untersuchen. Hierfür wird der Twisted-Mass-Formalismus mit dynamischen Fermionen verwendet, um sicherzustellen, dass die untersuchten Größen einen verbesserten Kontinuumslimes aufweisen. Der erste Teil dieser Arbeit untersucht die Umsetzbarkeit einer Rechnung, die sich mit dem durchschnittlichen Impulsanteil der Gluonen im Nukleon auseinandersetzt. Diese Größe wurde bisher kaum im Rahmen der Gitter-QCD behandelt. In diesem Zusammenhang werden zwei verschiedene Gittermethoden untersucht: das Feynman-Hellman-Theorem, sowie die direkte Berechnung der relevanten Formfaktoren. Mithilfe der zweiten Methode und mehreren Iterationen des Schmierens der Eichlinks ist es möglich, statistisch aussagekräftige Resultate zu erhalten. Die zweite Studie beschäftigt sich mit der direkten Berechnung der vollständigen Impuls- und Spinverteilung von Quarks und Antiquarks im Nukleon. Hierfür wird untersucht, ob eine kürzlich publizierte Methode praktikabel ist, nach der eine räumliche Quasiverteilung zu berechnen und aus dieser die physikalische Verteilung abzuleiten ist. In diesem Zusammenhang wird der Einfluß des Schmierens der Eichlinks und unterschiedlicher Impulsboosts des Nukleons erprobt. Die anschließend berechneten Isovektor-Quarkverteilungen (unpolarisiert und polarisiert) weisen eine gute qualitative Übereinstimmung mit Verteilungen auf, die mithilfe von phänomenologischen Analysen bestimmt wurden. Zentrale Erkenntnis dieser Arbeit ist der Nachweis, dass es auf dem Gitter prinzipiell möglich ist, beide Observablen zu berechnen. Trotzdem muss noch erheblich mehr Arbeit aufgewendet werden, um verlässliche Resultate für diese Größen zu erhalten. / This thesis deals with the theoretical computation of nucleon structure observables as they can be experimentally obtained from inclusive and semi-inclusive scattering experiments. I present two exploratory studies on spin and momentum structure observables of the nucleon in the framework of lattice QCD. Throughout this work, I use the twisted mass formalism with dynamical fermions at maximal twist, which ensures an improved continuum limit scaling for the relevant quantities. In the first part, I investigate the feasibility of a lattice calculation of the gluons’ average momentum fraction in the nucleon, a quantity that is rarely studied in lattice QCD. For this purpose, I study two different methods, namely the Feynman-Hellman theorem and the direct computation of the relevant form factor. Applying the latter method and combining it with several steps of stout gauge link smearing, I obtain a statistically significant results for the gluon content. The second study is concerned with the direct computation of the full momentum and spin distribution of quarks and antiquarks within the nucleon. I investigate the feasibility of a recently published approach proposing the computation of a purely spatial quasi-distribution that can be related to the physical distribution. I test the influence of gauge link smearing and different nucleon momentum boosts on the lattice data. Ultimately, I obtain iso-vector quark distributions for the unpolarized and polarize case that featuring a decent qualitative agreement to quark distributions acquired from phenomenological fits. As a key result of this work, I demonstrate that the demanding calculation of gluon content and the novel approach of computing quark distributions directly within lattice QCD are feasible in principle, although significantly more effort has to be invested into obtaining accurate results with reliable uncertainties.

In this thesis, we construct two QCD based energy loss models to perform quantitative analysis of jet quenching observables in ultra-relativistic nucleus-nucleus collisions at RHIC and the LHC. We first build up a perturbative QCD based CUJET2.0 jet flavor tomography model that couples the dynamical running coupling DGLV opacity series to bulk data constrained relativistic viscous hydrodynamic backgrounds. It solves the strong heavy quark energy loss puzzle at RHIC and explains the surprising transparency of the quark-gluon plasma (QGP) at the LHC. The observed azimuthal anisotropy of hard leading hadrons requires a path dependent jet-medium coupling in CUJET2.0 that implies physics of nonperturbative origin. To explore the nonperturbative chromo-electric and chromo-magnetic structure of the strongly-coupled QGP through jet probes, we build up a new CUJET3.0 framework that includes in CUJET2.0 both Polyakov loop suppressed semi-QGP chromo-electric charges and emergent chromo-magnetic monopoles in the critical transition regime. CUJET3.0 quantitatively describes the anisotropic hadron suppression at RHIC and the LHC. More significantly, it provides a robust connection between the long wavelength "perfect fluidity'' of the QGP and the short distance jet transport in the QGP. This framework paves the way for ``measuring'' both perturbative and nonperturbative properties of the QGP, and more importantly for probing color confinement through jet quenching.