Equações de campo efetivas para cordas bosônicas com simetria de Weyl

• Ano de defesa: 2024
• Autor(a) principal: Pinheiro Filho, Genivaldo Vasconcelos
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Palavras-chave em Português: Teoria de cordas; Campos de Fundo; Invariância de Weyl; String theory; Background fields; Weyl invariance; CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::FISICA DA MATERIA CONDENSADA
• Link de acesso: http://repositorio.ufc.br/handle/riufc/76368

In this work we analyze the quantization of a closed bosonic string theory by means of the Feynnman path integral. We study the dynamics of a string under the action of three different fields: a Lorentzian metric, a 2-form and a scalar field. The action of the string has invariance under the Weyl group in the smooth module of world-sheet metrics, and the preservation of such symmetry is equivalently associated to the nullity of the trace of the energy-momentum tensor in the world-sheet. When we quantize the theory, this trace, which comes from the effective action at the 1-loop level, is non-trivial and depends on the beta functions of the theory’s renormalization group. We show that the Weyl invariance of the theory is preserved if the background fields satisfy a system of field equations, one of which is a modified form of the Einstein field equations.