Loop Corrections and Bosonization Formulae

We study the functional integrals that appear in a path integral bosonization procedure for more than two spacetime dimensions. Since they are not in general exactly solvable, their evaluation by a suitable loop expansion would be a natural procedure, even if the exact fermionic determinant were kno...

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Detalles Bibliográficos
Autores principales: Fosco, Cesar Daniel, Núñez, Carlos, Schaposnik, Fidel Arturo
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 1999
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/123196
Aporte de:
id I19-R120-10915-123196
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Functional integration
Physics
Spacetime
Path integral formulation
Bosonization
Loop (topology)
Action (physics)
Quantum electrodynamics
Mathematical physics
Representation (mathematics)
Fermion
Outcome (probability)
Order (ring theory)
spellingShingle Física
Functional integration
Physics
Spacetime
Path integral formulation
Bosonization
Loop (topology)
Action (physics)
Quantum electrodynamics
Mathematical physics
Representation (mathematics)
Fermion
Outcome (probability)
Order (ring theory)
Fosco, Cesar Daniel
Núñez, Carlos
Schaposnik, Fidel Arturo
Loop Corrections and Bosonization Formulae
topic_facet Física
Functional integration
Physics
Spacetime
Path integral formulation
Bosonization
Loop (topology)
Action (physics)
Quantum electrodynamics
Mathematical physics
Representation (mathematics)
Fermion
Outcome (probability)
Order (ring theory)
description We study the functional integrals that appear in a path integral bosonization procedure for more than two spacetime dimensions. Since they are not in general exactly solvable, their evaluation by a suitable loop expansion would be a natural procedure, even if the exact fermionic determinant were known. The outcome of our study is that we can consistently ignore loop corrections in the functional integral defining the bosonized action, if the same is done for the functional integral corresponding to the bosonic representation of the generating functional. If contributions up to some orderlin the number of loops are included in both integrals, all but the lowest terms cancel out in the final result for the generating functional.
format Articulo
Preprint
author Fosco, Cesar Daniel
Núñez, Carlos
Schaposnik, Fidel Arturo
author_facet Fosco, Cesar Daniel
Núñez, Carlos
Schaposnik, Fidel Arturo
author_sort Fosco, Cesar Daniel
title Loop Corrections and Bosonization Formulae
title_short Loop Corrections and Bosonization Formulae
title_full Loop Corrections and Bosonization Formulae
title_fullStr Loop Corrections and Bosonization Formulae
title_full_unstemmed Loop Corrections and Bosonization Formulae
title_sort loop corrections and bosonization formulae
publishDate 1999
url http://sedici.unlp.edu.ar/handle/10915/123196
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AT nunezcarlos loopcorrectionsandbosonizationformulae
AT schaposnikfidelarturo loopcorrectionsandbosonizationformulae
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