Submitted by JOGEAN MATHEUS CARVALHO FERREIRA (jogeanmcf@gmail.com) on 2018-04-13T15:33:45Z No. of bitstreams: 1 Dissertação-Jogean.pdf: 463408 bytes, checksum: d2ae1ba2ff2f5b812d60078e1735eff9 (MD5) / Approved for entry into archive by Hellen Sayuri Sato null (hellen@ift.unesp.br) on 2018-04-13T17:16:56Z (GMT) No. of bitstreams: 1 ferreira_jmc_me_ift.pdf: 463408 bytes, checksum: d2ae1ba2ff2f5b812d60078e1735eff9 (MD5) / Made available in DSpace on 2018-04-13T17:16:56Z (GMT). No. of bitstreams: 1 ferreira_jmc_me_ift.pdf: 463408 bytes, checksum: d2ae1ba2ff2f5b812d60078e1735eff9 (MD5) Previous issue date: 2018-02-26 / Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) / Supersimetria é um tema de bastante interesse na física, em particular na física de partículas, existem dezenas de modelos supersimétricos e diversos estudos sobre o assunto. Outra área de bastante interesse na física, e na matemática, é a integrabilidade de equações diferenciais, que as vezes é uma propriedade exigida em modelos físicos. Este trabalho é dedicado ao estudo de modelos tanto integráveis quanto supersimétricos para campos clássicos. No primeiro capítulo nós falamos sobre todos os conhecimentos necessários para o entendimento dos capítulos subsequentes; introduzimos conceitos sobre grupos, álgebra de Lie, loop algebra, álgebra de Kac-Moody e propriedades requeridas para construção dos modelos. No capítulo três nós apresentamos dois modelos supersimétricos e integráveis que são obtidos por vias diferentes. No capítulo três nós propomos transformações para eliminar redundâncias e discutimos as principais diferenças entres esses três modelos. / Supersymmetry is a well studied branch of physics having promising physical models applied to theoretical physics and we still are looking forward experimental evidences for such phenomenon. Integrability is another great interesting theme on physics, and mathematics, that is sometimes required for physical models. This works put together supersymmetry and integrability of models based on standard principles. However, we treat of classical point of view, just looking for supersymmetry transformations and integrability of motion equations for fields. In chapter one we speak about groups, Lie algebra, loop algebra, superalgebra and others property needed to constructions of our models, introducing all knowledge for understanding the follows chapters. In chapter two we develop three supersymmetric and integrable models by different ways. In chapter three we discus the correspondence of this three models, proposing transformations with aim of to eliminate redundancies, and discuss the main differences between them. / 131664/2016-6

Infrared divergences arising in theories with massless gauge bosons have been shown to cancel in scattering amplitudes when using dressed states constructed from the Faddeev- Kulish approach to the asymptotic states. It has been established that these states are closely related to asymptotic symmetries of the theory, that is, non-vanishing gauge trans- formations at the asymptotic boundary. In this thesis, we review both of these aspects for QED and non-Abelian gauge theories. We also investigate the expectation value of the non-Abelian field strength tensor using dressed states. We then present a novel con- struction of the dressing operator for non-Abelian gauge theories using Wilson lines. We demonstrate, to order O(g2), that each term of the dressing operator is reproduced in the presented Wilson line approach, along with additional terms that warrant a more thorough understanding. This work extends previous results that pertained to QED and gravity.