Transition amplitude, partition function and the role of physical degrees of freedom in gauge theories
| Autor: | A. A. Nogueira, L. Rabanal, B. M. Pimentel |
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| Přispěvatelé: | Universidade Federal do ABC (UFABC), Universidade Estadual Paulista (Unesp) |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Physics
High Energy Physics - Theory Nuclear and High Energy Physics Partition function (statistical mechanics) 010308 nuclear & particles physics Thermodynamic equilibrium Scalar (physics) FOS: Physical sciences Faddeev–Popov ghost 01 natural sciences Quantization (physics) Classical mechanics High Energy Physics - Theory (hep-th) 0103 physical sciences lcsh:QC770-798 lcsh:Nuclear and particle physics. Atomic energy. Radioactivity Gauge theory 010306 general physics Equipartition theorem Gauge fixing |
| Zdroj: | Nuclear Physics B, Vol 934, Iss, Pp 665-691 (2018) Web of Science Repositório Institucional da UNESP Universidade Estadual Paulista (UNESP) instacron:UNESP Nuclear Physics |
| Popis: | Made available in DSpace on 2019-10-04T12:30:40Z (GMT). No. of bitstreams: 0 Previous issue date: 2018-09-01 Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) This work explores the quantum dynamics of the interaction between scalar (matter) and vectorial (intermediate) particles and studies their thermodynamic equilibrium in the grand-canonical ensemble. The aim of the article is to clarify the connection between the physical degrees of freedom of a theory in both the quantization process and the description of the thermodynamic equilibrium, in which we see an intimate connection between physical degrees of freedom, Gibbs free energy and the equipartition theorem. We have split the work into two sections. First, we analyze the quantum interaction in the context of the generalized scalar Duffin-Kemmer-Petiau quantum electrodynamics (GSDKP) by using the functional formalism. We build the Hamiltonian structure following the Dirac methodology, apply the Faddeev-Senjanovic procedure to obtain the transition amplitude in the generalized Coulomb gauge and, finally, use the Faddeev-Popov-DeWitt method to write the amplitude in covariant form in the no-mixing gauge. Subsequently, we exclusively use the Matsubara-Fradkin (MF) formalism in order to describe fields in thermodynamical equilibrium. The corresponding equations in thermodynamic equilibrium for the scalar, vectorial and ghost sectors are explicitly constructed from which the extraction of the partition function is straightforward. It is in the construction of the vectorial sector that the emergence and importance of the ghost fields are revealed: they eliminate the extra non-physical degrees of freedom of the vectorial sector thus maintaining the physical degrees of freedom. (C) 2018 The Authors. Published by Elsevier B.V. Univ Fed ABC, CCNH, Av Estados 5001, BR-09210580 Santo Andre, SP, Brazil Univ Estadual Paulista, IFT, Rua Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo, SP, Brazil Univ Estadual Paulista, IFT, Rua Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo, SP, Brazil |
| Databáze: | OpenAIRE |
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