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Orientador: Luiz Agostinho Ferreira / Banca: Abraham Hirsz Zimerman / Banca: Henrik Aratyn / Banca: Eduardo Cantera Marino / Banca: Esmerindo de Sousa Bernardes / Doutor

Orientador: L.A. Ferreira / Doutor

Orientador: Ruben Aldrovandi / Doutor

Made available in DSpace on 2016-05-17T16:50:57Z (GMT). No. of bitstreams: 0 Previous issue date: 2007-06-15. Added 1 bitstream(s) on 2016-05-17T16:54:23Z : No. of bitstreams: 1 000855579.pdf: 1468143 bytes, checksum: 313a23d7363bb98edb0675649bc11fb5 (MD5) / Apresentamos, neste trabalho, alguns de nossos resultados relativos à formulação do Eletromagnetismo de Podolsky em (2+1) dimensões, dedicando especial atenção ao estudo do espalhamento na aproximação não-relativística. Analisamos a possibilidade de existência de estados ligados na equação de Schrödinger independente do tempo no caso do espalhamento de duas partículas bosônicas (com ou sem o termo topológico de Chern-Simons) e fermiônicas; neste último caso calculamos, também, correções a temperatura finita. Finalmente consideramos a aplicação da teoria à regularização da Eletrodinâmica Quântica, também em (3+1) dimensões, computando explicitamente a função-'beta' do grupo de renormalização / We present in this work a number of results in Poldolsky's formulation of the (2+1) dimensional Electromagnetism. We focus our attention on the nonrelativistic regime of scatterings. We analyse the possibility of existence of bound states for the time-independent Schrödinger equation, by considering the scattering of two bosonic (with and without the Chern-Simons term) and fermionic particles; in the latter case, we also compute finite-temperature corrections. We finally consider the application of the theory to Quantum Electrodynamics, also in (3 + 1) dimensions, and we explicitly work out the renormalization group 'beta' function in this case

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