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Title: Path integral quantization of generalized quantum electrodynamics

Abstract

In this paper, a complete covariant quantization of generalized electrodynamics is shown through the path integral approach. To this goal, we first studied the Hamiltonian structure of the system following Dirac's methodology and, then, we followed the Faddeev-Senjanovic procedure to obtain the transition amplitude. The complete propagators (Schwinger-Dyson-Fradkin equations) of the correct gauge fixation and the generalized Ward-Fradkin-Takahashi identities are also obtained. Afterwards, an explicit calculation of one-loop approximations of all Green's functions and a discussion about the obtained results are presented.

Authors:
; ;  [1];  [2]
  1. Instituto de Fisica Teorica (IFT), UNESP-Sao Paulo State University, Rua Doutor Bento Teobaldo Ferraz 271, Bloco II, Barra Funda CEP 01140-070, Sao Paulo, Sao Paulo (Brazil)
  2. (Colombia)
Publication Date:
OSTI Identifier:
21505013
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 83; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.83.045007; (c) 2011 American Institute of Physics
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; APPROXIMATIONS; EQUATIONS; GREEN FUNCTION; HAMILTONIANS; PROPAGATOR; QUANTIZATION; QUANTUM ELECTRODYNAMICS; TRANSITION AMPLITUDES; AMPLITUDES; CALCULATION METHODS; ELECTRODYNAMICS; FIELD THEORIES; FUNCTIONS; MATHEMATICAL OPERATORS; QUANTUM FIELD THEORY; QUANTUM OPERATORS

Citation Formats

Bufalo, R., Pimentel, B. M., Zambrano, G. E. R., and Departamento de Fisica, Universidad de Narino, Calle 18 Cuadra 50, San Juan de Pasto, Narino. Path integral quantization of generalized quantum electrodynamics. United States: N. p., 2011. Web. doi:10.1103/PHYSREVD.83.045007.
Bufalo, R., Pimentel, B. M., Zambrano, G. E. R., & Departamento de Fisica, Universidad de Narino, Calle 18 Cuadra 50, San Juan de Pasto, Narino. Path integral quantization of generalized quantum electrodynamics. United States. doi:10.1103/PHYSREVD.83.045007.
Bufalo, R., Pimentel, B. M., Zambrano, G. E. R., and Departamento de Fisica, Universidad de Narino, Calle 18 Cuadra 50, San Juan de Pasto, Narino. Tue . "Path integral quantization of generalized quantum electrodynamics". United States. doi:10.1103/PHYSREVD.83.045007.
@article{osti_21505013,
title = {Path integral quantization of generalized quantum electrodynamics},
author = {Bufalo, R. and Pimentel, B. M. and Zambrano, G. E. R. and Departamento de Fisica, Universidad de Narino, Calle 18 Cuadra 50, San Juan de Pasto, Narino},
abstractNote = {In this paper, a complete covariant quantization of generalized electrodynamics is shown through the path integral approach. To this goal, we first studied the Hamiltonian structure of the system following Dirac's methodology and, then, we followed the Faddeev-Senjanovic procedure to obtain the transition amplitude. The complete propagators (Schwinger-Dyson-Fradkin equations) of the correct gauge fixation and the generalized Ward-Fradkin-Takahashi identities are also obtained. Afterwards, an explicit calculation of one-loop approximations of all Green's functions and a discussion about the obtained results are presented.},
doi = {10.1103/PHYSREVD.83.045007},
journal = {Physical Review. D, Particles Fields},
number = 4,
volume = 83,
place = {United States},
year = {Tue Feb 15 00:00:00 EST 2011},
month = {Tue Feb 15 00:00:00 EST 2011}
}
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