Generalized version of chiral Schwinger model in terms of chiral bosonization

Abstract The $$(1+1)$$ ( 1 + 1 ) dimensional generalized model where vector and axial vector interaction get mixed up with different strength is considered. Imposing a chiral constraint, the model can be expressed in terms of chiral boson. Then the theoretical spectra of this model has been determin...

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Main Author: Safia Yasmin
Format: Article
Language:English
Published: SpringerOpen 2021-03-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-021-08987-z
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spelling doaj-5f660a3adeb24d398f095d72d0f885022021-03-11T12:43:32ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-03-018131610.1140/epjc/s10052-021-08987-zGeneralized version of chiral Schwinger model in terms of chiral bosonizationSafia Yasmin0Indas MahavidyalayaAbstract The $$(1+1)$$ ( 1 + 1 ) dimensional generalized model where vector and axial vector interaction get mixed up with different strength is considered. Imposing a chiral constraint, the model can be expressed in terms of chiral boson. Then the theoretical spectra of this model has been determined in both the Lagrangian and Hamiltonian formalism. It is found that the massless degrees of freedom disappears from the spectra and the photon acquires mass as well. Imposition of chiral constraint brings a disaster so far as Lorentz invariance is concerned. An attempt has been made here to show the physical Lorentz invariance explicitly using Poincaré algebra.https://doi.org/10.1140/epjc/s10052-021-08987-z
collection DOAJ
language English
format Article
sources DOAJ
author Safia Yasmin
spellingShingle Safia Yasmin
Generalized version of chiral Schwinger model in terms of chiral bosonization
European Physical Journal C: Particles and Fields
author_facet Safia Yasmin
author_sort Safia Yasmin
title Generalized version of chiral Schwinger model in terms of chiral bosonization
title_short Generalized version of chiral Schwinger model in terms of chiral bosonization
title_full Generalized version of chiral Schwinger model in terms of chiral bosonization
title_fullStr Generalized version of chiral Schwinger model in terms of chiral bosonization
title_full_unstemmed Generalized version of chiral Schwinger model in terms of chiral bosonization
title_sort generalized version of chiral schwinger model in terms of chiral bosonization
publisher SpringerOpen
series European Physical Journal C: Particles and Fields
issn 1434-6044
1434-6052
publishDate 2021-03-01
description Abstract The $$(1+1)$$ ( 1 + 1 ) dimensional generalized model where vector and axial vector interaction get mixed up with different strength is considered. Imposing a chiral constraint, the model can be expressed in terms of chiral boson. Then the theoretical spectra of this model has been determined in both the Lagrangian and Hamiltonian formalism. It is found that the massless degrees of freedom disappears from the spectra and the photon acquires mass as well. Imposition of chiral constraint brings a disaster so far as Lorentz invariance is concerned. An attempt has been made here to show the physical Lorentz invariance explicitly using Poincaré algebra.
url https://doi.org/10.1140/epjc/s10052-021-08987-z
work_keys_str_mv AT safiayasmin generalizedversionofchiralschwingermodelintermsofchiralbosonization
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