CANONICAL STRUCTURE OF GAUGE INVARIANCE PROCA'S ELECTRODYNAMICS THEORY

Proca's electrodynamics describes a theory of massive photons which is not gauge invariant. In this paper we show that the gauge invariance is recovered if a scalar field is properly incorporated into the theory. We followed the Dirac's technique to perform a detailed analysis of the const...

Full description

Autores:
Zambrano, German E.
Pimentel, Bruto M.
Tipo de recurso:
Article of journal
Fecha de publicación:
2018
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/67310
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/67310
http://bdigital.unal.edu.co/68339/
Palabra clave:
53 Física / Physics
5 Ciencias naturales y matemáticas / Science
Método de Dirac
Formalismo de Faddeev-Jackiw
Análisis de vínculos
Corchetes de Dirac
Corchetes Generalizados
Dirac's method
Faddeev-Jackiw's formalism
Constraint analysis
Dirac brackets
Generalized brackets
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:Proca's electrodynamics describes a theory of massive photons which is not gauge invariant. In this paper we show that the gauge invariance is recovered if a scalar field is properly incorporated into the theory. We followed the Dirac's technique to perform a detailed analysis of the constraint structure of the theory. Appropriate gauge conditions were derived to eliminate the first class constraints and obtain the Dirac's brackets of the independent dynamical variables. Alternatively, the generalized symplectic formalism method is used to study the gauge invariance Proca's electrodynamics theory. After fixing the gauge, the generalized brackets are calculated and the equivalence with the Dirac's brackets is shown.