Made available in DSpace on 2015-05-14T12:14:07Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 649165 bytes, checksum: 4b61e26e50f256db343ba95b4cf95a8b (MD5) Previous issue date: 2010-08-20 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / In this disssertation we are concerned with Nordström s scalar gravity theory, one of the first attempts to formulate a relativistic theory of gravitation. We start be describing the theory in its original formulation given by Nordström. We then proceed to show how Nordström s approach is equivalent to a metric theory of gravity which regards gravity as a manifestation of spacetime curvature, a result first obtained by Einstein and Fokker in 1914. We exlore this formal equivalence between the two approaches to derive Nordström s predictions of some observed phenomena, such as Mercury s perihelium and the time delay of the light. finally we consider a third approach which makes use of Weyl geometry through its concept of gauge transformations. We then show that one can regard both Nordström s and Einstein-Fokker s framework as equivalent to a theory formulated to a theory formulated in minkowski spacetime in which the gravitational field is encoded in a non-trivial affine connection. / Nesse dissertação descrevemos a teoria da gravitação escalar de Norsdtröm em diferentes formalismos. Iniciamos tratando esta teoria em sua formulação original, que ficou conhecida por manter a estrutura geométrica da relatividade especial. A seguir revisamos a formulação métrica da teoria de Nordström, devido à Einstein e Fokker, que descreve a gravitação como manifestação da curvatura do espaço-tempo. Nessa formulação, descrevemos as predições da teoria de Nordström para alguns efeitos gravitacionais observados, tais como o movimento do periélio de Mercúrio e o atraso gravitacional da luz. Finalmente introduzimos a geometria de Weyl juntamente com o conceito das transformações de calibre para fazer a transição da formulação métrica em Einstein-Fokker (referencial de Riemann) para o espaço-tempo de Minkowski (referencial de Weyl), onde o campo gravitacional fica codificado pela conexão afim de Weyl. Mostramos também que a estrutura geodésica nessas três formulações é idêntica.

Made available in DSpace on 2015-05-14T12:14:08Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 787601 bytes, checksum: dde905a364661fdc51ee261d059b2905 (MD5) Previous issue date: 2013-08-23 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / We build a gauge model based on the SU(3)C ⊗ SU(4)L ⊗ U(1)X symmetry where the scalar spectrum needed to generate gauge boson and fermion masses is reduced to a lesser content than usually assumed in literature. In order to guarantee that such a reduction is self-consistent, we first show that the model possesses a Landau pole at the scale of few TeV. In fact, the scalar spectrum reduction is possible because the fermion masses that do not come from Yukawa interactions, can be suitably generated by effective operators, supressed by a few TeV scale instead of a too high energy scale (like Planck or usual grand unified theories scale). In this way we are able to keep only three scalar quartets out of the original four quartets and a decouplet, which are in the right amount to engender the spontaneous symmetry breaking of the model to the electroweak standard model and subsequently to the U(1)QED gauge group. This reduced spectrum enables a simpler framework when developing the phenomenology of such model. / Construímos um modelo de gauge baseado na simetria SU(3)C ⊗ SU(4)L ⊗ U(1)X, no qual o espectro escalar necessário para gerar as massas dos bósons de gauge e dos férmions é reduzido para um conteúdo menor do que geralmente empregado na literatura. A fim de garantir que tal redução é autoconsistente, primeiramente mostramos que o modelo possui um polo de Landau na escala de poucos TeV. De fato, a redução do espectro escalar é possível porque as massas dos férmions que não advêm das interações de Yukawa podem ser geradas adequadamente por operadores efetivos, suprimidos por uma escala de poucos TeV em vez de uma escala de altas energias (como de Planck ou de Teorias de Grande Unificação usuais). Desta forma, somos capazes de manter apenas três quadrupletos de escalares afora os quatro quadrupletos originais e um decupleto, que é o número correto para engendrar a quebra espontânea de simetria do modelo para o modelo padrão eletrofraco e, posteriormente, para o grupo de gauge U(1)QED. Este espectro reduzido permite uma estrutura mais simples quando a fenomenologia de tal modelo for desenvolvida.

Made available in DSpace on 2015-05-14T12:14:11Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1469905 bytes, checksum: 95c9e3653497fa18a127fc9aae221421 (MD5) Previous issue date: 2012-09-28 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / We focus this work in scalar field theory. We review the basic aspects of models containing one scalar field, like the 4, and the two scalars field theory, like the BNRT. We still review the deformation procedure, in order to generate new soluble one field models. The main result is concerned to a new procedure wich makes possible to generate new two field models and its static solutions. / Focamos este trabalho em teoria de campos escalares. Revisamos os aspectos básicos dos modelos contendo um campo, como o 4 e modelos contendo dois campos escalares, como o BNRT. Ainda, revisamos o procedimento de deformação, para gerar novos modelos solúveis com um campo escalar. Nosso principal resultado é um novo procedimento que possibilita a geração de modelos solúveis de dois campos escalares.

Le présent travail de thèse se propose de profiter de la description cristallographique à N dimensions pour rediscuter les structures des alliages métalliques périodiques dont les atomes sont situés sur un sous-ensemble ordonné d’un Z-module — c’est-à-dire sur des positions qui sont des combinaisons linéaires entières de N>3 vecteurs arithmétiquement indépendants— exemplifiés par les quasicristaux et les phases approximantes. La description cristallographique à N dimensions permet ainsi de révéler des symétries supplémentaires, cachées dans l’espace physique, susceptibles d’engendrer de nouveaux types de défauts, dits défauts de module, dans les alliages métalliques périodiques dont les atomes se localisent sur un Z-module non trivial dans l’espace direct. Ces défauts correspondent aux opérations de symétrie interne du Z-module qui sont perdues lors de la projection rationnelle dans l’espace physique en raison de la périodicité de l’alliage. Ce sont des macles, des défauts de translations et les dislocations qui les bordent et que nous désignons par dislocations de modules pour les différencier des usuelles dislocations de réseau. Elles apparaissent comme des dislocations partielles bordant une ou plusieurs fautes d’empilement. Des dislocations particulières peuvent exister avec des vecteurs de Burgers ayant une composante nulle dans l’espace physique. Ces dislocations, que nous appelons dislocations scalaires, n’engendrent aucun champ de contrainte et ne sont sensibles à aucun champ de déformation. La phase orthorhombique NiZr de symétrie Cmcm a une maille cristalline dont tous les atomes sont situés sur une fraction d’un même Z-module pentagonal ; elle, est à ce titre, parfaitement descriptible à 5 dimensions. A parti de cette analyse, nous avons prédit l’existence de nouveaux défauts tels que les macles quinaires et défauts de translations, tous observés et confirmés par nos observations en microscopie électronique haute résolution HREM et STEM-HAADF. / The present work is an attempt to take advantage of the N-dimensional crystallographic description to rediscuss the structures of periodic metal alloys whose atoms are located on an ordered subset of a Z-module — positions that are integer linear combinations of N> 3 arithmetically independent vectors — like those encountered in quasicrystals and approximants. This N-dimensional crystallographic description makes it possible to reveal hidden symmetries in periodic metallic alloys, that can generate new types of possible defects by symmetry breaking during the projection in the physical space. Thus, in addition to the usual defects due to a local breaking of periodicity, these alloys may contain new defects corresponding to internal symmetry operations of the Z-module which are lost due to the periodicity of the alloy. These defects are twins, translation defects and dislocations that border them and that we refer to as dislocations of modules to differentiate them from the usual network dislocations and which appear as partial dislocations bordering one or more stacking faults. Particular dislocations may exist with Burgers vectors having a null component in the physical space. These dislocations, which we call scalar dislocations, generate no stress field and are not sensitive to any deformation field. The orthorhombic phase of NiZr has a crystal structure the atoms of which are located on a fraction of the pentagonal Z-module and is therefore fully describable at 5 dimensions. We can thus describe new defects such as quinary twins, but also defects of translations that all keep the Z-module invariant. All these defects have indeed been observed and recognized by high resolution electron microscopy (HREM and STEM-HAADF).

Orientador: Abraham Hirsz Zimerman / Banca: Iberê Luiz Caldas / Banca: Roberto André Kraenkel / Resumo: Esta dissertação trata da construção de hierarquias compatíveis com a equação PIV a partir dos modelos: AKNS, dois bósons e dois bósons quadráticos. Também são construidos os problema linear de Jimbo-Miwa dos três modelos e discutimos a hamiltoniana correspondente a equação PIV a partir do formalismo lagrangiano / Abstract: This dissertation contains the construction of compatible hierarchies with the PIV equation from the models: AKNS, two-boson and quadratic two-boson. Also it is build the Jimbo-Miwa linear problem for the three models and we discuss the hamiltonian corresponding to fouth Painlevé equation from the Lagrangian formalism / Mestre

Conselho Nacional de Desenvolvimento CientÃfico e TecnolÃgico / Nosso objetivo nesse trabalho à apresentar uma generalizaÃÃo das mÃtricas quasi-Einstein para campo de vetores suaves nÃo necessariamente gradiente, alÃm disso, apresentar algumas fÃrmulas integrais para mÃtricas quasi-Einstein gradiente definidas numa variedade compacta e como aplicaÃÃo expor trÃs resultados importantes, sendo um deles uma caracterizaÃÃo para tais classes de variedades compactas de dimensÃo dois. / Our objective in this work is to present a generalization of quasi-Einstein metrics for vector field is not necessarily smooth gradient also present some integral formulas for compact quasi-Einstein metrics defined in a compact and as application set out three important results, one being characterized such classes for a compact manifolds of dimension two.

Orientador: Edson Bim / Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Eletrica e de Computação / Made available in DSpace on 2018-08-06T11:16:01Z (GMT). No. of bitstreams: 1 Bertonha_LeandroCorrea_M.pdf: 4817108 bytes, checksum: 7377641ea7817b2bac41b6c4870c60b2 (MD5) Previous issue date: 2006 / Resumo: Neste trabalho é apresentada a implementação de uma estratégia de controle escalar V/f que mantém o fluxo de entreferro constante em seu valor nominal a partir do controle da relação entre a tensão de terceira harmônica, do estator, presente devido à saturação magnética, e da freqüência elétrica. No caso das bobinas de estator estarem conectadas em Y, a terceira harmônica de tensão é obtida a partir da soma das tensões de fase do estator. Na. presente proposta não é necessário saber a magnitude do fluxo, mas apenas o valor da terceira harmônica de tensão quando o motor opera na sua condição nominal. O método proposto é simples de ser implementado, computacionalmente leve e insensível aos parâmetros do motor. Esta última característica é especialmente atrativa, pois boa parte cios acionamentos elétricos propostos na literatura com controle escalar tem seu desempenho insatisfatório devido à influência da variação da resistência de estator, principalmente quando o motor opera em baixas velocidades. Resultados experimentais mostram que a técnica implementada tem um excelente desempenho em regime permanente, ainda que com carga mecânica, e bom desempenho nos transitórios / Abstract: In this work it is presented the implementation of scalar control V/f technique. It keeps the air gap flux constant in its rated value by the control of the relation between third harmonic voltage, due to saturation, and electric frequency. When the coils are conected in Y. the third harmonic is obtained by the sum of staler phase voltage. We propose that it is not necessary to know the air gap flux magnitude, but only the third harmonic value when the induction motor operates in rated condition. The proposed method is easy to implement, has a light coputational processing and it is not sensitive to motor parameters. This last caracteristic is attractive, because many electric drivers have low performance due to the influence of stator resistence variation, mainly when, the motor operates in reduced speed. Experimental results show the high performance of system in steady state, with applied load, and good performance in dynamic situation / Mestrado / Energia Eletrica / Mestre em Engenharia Elétrica

Foi provado por Byde que é possível adicionar um fim do tipo Delaunay a uma variedade compacta não degenerada de curvatura escalar constante positiva; desde que ela seja localmente conformemente plana em alguma vizinhança do ponto de colagem. A variedade resultante é não-compacta e possui a mesma curvatura escalar constante. O principal objetivo desta tese é generalizar este resultado. Construiremos uma família a um parâmetro de soluções para o problema de Yamabe singular positivo em qualquer variedade compacta não degenerada cujo tensor de Weyl anula-se até uma ordem suficientemente grande no ponto singular. Se a dimensão da variedade é no máximo 5; nenhuma condição sobre o tensor de Weyl é necessária. Usaremos técnicas de pertubação e o método de colagem. _________________________________________________________________________________________ ABSTRACT: It has been showed by Byde [5] that it is possible to attach a Delaunay type end to a compact nondegenerate manifold of positive constant scalar curvature, provided it is locally conformally flat in a neighborhood of the attaching point. The resulting manifold is noncompact with the same constant scalar curvature. The main goal of this thesis is to generalize this result. We will construct a one-parameter family of solutions to the positive singular Yamabe problem for any compact non-degenerate manifold with Weyl tensor vanishing to suciently high order at the singular point. If the dimension is at most 5, no condition on the Weyl tensor is needed. We will use perturbation techniques and gluing methods.

Cette thèse étudie, au niveau continu et au niveau discret sur des maillages polyédriques, les équations de transport tridimensionnelles scalaire et vectorielle. Ces équations sont constituées d'un terme diffusif, d'un terme advectif et d'un terme réactif. Dans le cadre des systèmes de Friedrichs, l'analyse mathématique est effectuée dans les espaces du graphe associés aux espaces de Lebesgue. Les conditions de positivité usuelles sur le tenseur de Friedrichs sont étendues au niveau continu et au niveau discret afin de prendre en compte les cas d'intérêt pratique où ce tenseur prend des valeurs nulles ou raisonnablement négatives. Un nouveau schéma convergeant à l'ordre 3/2 est proposé pour le problème d'advection-réaction scalaire en considérant des degrés de liberté scalaires associés aux sommets du maillage. Deux nouveaux schémas considérant également des degrés de libertés aux sommets sont proposés pour le problème de transport scalaire en traitant de manière robuste les différents régimes dominants. Le premier schéma converge à l'ordre 1/2 si les effets advectifs sont dominants et à l'ordre 1 si les effets diffusifs sont dominants. Le second schéma améliore la précision de ce schéma en convergeant à l'ordre 3/2 lorsque les effets advectifs sont dominants. Enfin, un nouveau schéma convergeant à l'ordre 1/2 est obtenu pour le problème d'advection-réaction vectoriel en considérant un seul et unique degré de liberté scalaire sur chaque arête du maillage. La précision et les performances de tous ces schémas sont examinées sur plusieurs cas tests utilisant des maillages polyédriques tridimensionnels / This thesis analyzes, at the continuous and at the discrete level on polyhedral meshes, the scalar and the vector transport problems in three-dimensional domains. These problems are composed of a diffusive term, an advective term, and a reactive term. In the context of Friedrichs systems, the continuous problems are analyzed in Lebesgue graph spaces. The classical positivity assumption on the Friedrichs tensor is generalized so as to consider the case of practical interest where this tensor takes null or slightly negative values. A new scheme converging at the order 3/2 is devised for the scalar advection-reaction problem using scalar degrees of freedom attached to mesh vertices. Two new schemes considering as well scalar degrees of freedom attached to mesh vertices are devised for the scalar transport problem and are robust with respect to the dominant regime. The first scheme converges at the order 1/2 when advection effects are dominant and at the order 1 when diffusion effects are dominant. The second scheme improves the accuracy by converging at the order 3/2 when advection effects are dominant. Finally, a new scheme converging at the order 1/2 is devised for the vector advection-reaction problem considering only one scalar degree of freedom per mesh edge. The accuracy and the efficiency of all these schemes are assessed on various test cases using three-dimensional polyhedral meshes

Avec la découverte en juillet 2012 par les collaborations CMS et ATLAS d'un nouveau scalaire, aux propriétés similaires à celles d'un boson prédit plus de 50 ans auparavant, la phénoménologie au-delà du modèle standard (SM) a fait un grand pas. En effet, la découverte de cette pièce manquante du puzzle électrofaible a rendu certains modèles impossibles, tout en renforçant la crédibilité du SM. Cependant, on sait que le SM n'est pas le mot de la fin, car certaines de ses prédictions ne s'accordent pas avec les expériences, et ce boson est donc vu comme une porte vers de nouveaux secteurs de la physique. Après une introduction au SM et aux statistiques de la physique des particules, nous présenterons un paramétrage des couplages mesurés au LHC, afin de contraindre, via ces couplages, des modèles de physique au-delà du SM, plus fondamentaux. Ce paramétrage, s'intéressant particulièrement aux couplages à boucles, permettrait de lever une corrélation existant entre les paramètres actuellement utilisés. Nous étudierons ensuite la possibilité d'existence d'un scalaire, plus léger que celui observé, et ayant échappé aux recherches passées, et de sa recherche au LHC à l'aide de ce paramétrage. Nous donnerons des exemples de paramètres faisant apparaître un tel scalaire, dans le 2HDM et le NMSSM. Enfin, nous verrons que le scalaire peut influencer la production d'une paire de bosons de jauge faible, et qu'à l'aide de notre paramétrage, l'analyse de ce processus peut être utilisée de manière cohérente avec les mesures au pic de masse pour contraindre ces couplages. Nous finirons avec quelques limites de cette approche, ainsi que des propositions d'améliorations / With the discovery of a new particle in July 2012 by the CMS and ATLAS experiments, with properties resembling those of a boson predicted about 50 years earlier by theorists, the search for physics outside of the standard model of particle physics (SM) has made a big step. Indeed, the existence of this piece of the electroweak symmetry breaking proved wrong many theories, while giving more credit to the SM. However, because of some observations it fails to match, we know the SM cannot be the final word, and it is hoped that the study of this new particle will be a path to new sectors of physics. After a brief description of the SM and of the statistics of particle physics, we will present a way to parametrise the couplings measured at CERN, in order to constrain, through these couplings, more fundamental models describing physics beyond the standard model. This parametrisation, focusing on loop-induced couplings, would allow to lift a correlation existing between parameters currently used by experimentalists. We will then study the feasibility of a search for another scalar, lighter than the one discovered and which would have escaped previous searches, through the use of the same parametrisation. In two models, the 2HDM and the NSSSM, values of parameters yet unconstrained are shown.Finally, we will see that this scalar can also influence the joint production of two weak gauge bosons. We will show that the analysis of this process can be used in a coherent manner with on-shell Higgs measurements to constrain its couplings through our parametrisation. We will then end with a brief look at some limitation of this approach, before suggesting ways to overcome them