Diagrammar in classical scalar field theory.
In this paper we analyze perturbatively a gφ4 classical field theory with and without temperature. In order to do that, we make use of a path-integral approach developed some time ago for classical theories. It turns out that the diagrams appearing at the classical level are many more than at the qu...
| Authors: | , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2011 |
| Country: | Brasil |
| Institution: | Universidade Federal de Ouro Preto (UFOP) |
| Repository: | Repositório Institucional da UFOP |
| Language: | English |
| OAI Identifier: | oai:repositorio.ufop.br:123456789/5451 |
| Online Access: | http://www.repositorio.ufop.br/handle/123456789/5451 https://doi.org/10.1016/j.aop.2011.05.009 |
| Access Level: | Open access |
| Keyword: | Classical field theory Feynman diagram |
| Summary: | In this paper we analyze perturbatively a gφ4 classical field theory with and without temperature. In order to do that, we make use of a path-integral approach developed some time ago for classical theories. It turns out that the diagrams appearing at the classical level are many more than at the quantum level due to the presence of extra auxiliary fields in the classical formalism. We shall show that a universal supersymmetry present in the classical path-integral mentioned above is responsible for the cancelation of various diagrams. The same supersymmetry allows the introduction of super-fields and super-diagrams which considerably simplify the calculations and make the classical perturbative calculations almost ‘‘identical’’ formally to the quantum ones. Using the super-diagrams technique, we develop the classical perturbation theory up to third order. We conclude the paper with An perturbative check of the fluctuation-dissipation theorem. |
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