Schwinger model à la Very Special Relativity

Schwinger model à la Very Special Relativity

In this work, we show that Lorentz invariant theories in 1+1 dimensions admit new terms inspired by Very Special Relativity (VSR) theories. We have studied the Schwinger model in VSR. We show the axial current is classically conserved in the presence of a mass term coming from the VSR invariant term...

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Main Authors: Jorge Alfaro, Alex Soto
Format: Article
Language:English
Published: Elsevier 2019-10-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269319306458
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spelling doaj-7f17d95f8aa84b33992ef494b83d3d8a2020-11-25T02:42:27ZengElsevierPhysics Letters B0370-26932019-10-01797Schwinger model à la Very Special RelativityJorge Alfaro0Alex Soto1Instituto de Física, Pontificia Universidad de Católica de Chile, Av. Vicuña Mackenna 4860, Santiago, ChileCorresponding author.; Instituto de Física, Pontificia Universidad de Católica de Chile, Av. Vicuña Mackenna 4860, Santiago, ChileIn this work, we show that Lorentz invariant theories in 1+1 dimensions admit new terms inspired by Very Special Relativity (VSR) theories. We have studied the Schwinger model in VSR. We show the axial current is classically conserved in the presence of a mass term coming from the VSR invariant terms but without standard Lorentz invariant mass. Furthermore, it is shown that both the vector current as well as the axial current are modified with respect to the free case when the fermion is coupled to an external electromagnetic field due to the nonlocal operator present in the theory. The axial anomaly is computed, and we found the same standard topological invariant with a modification in the coefficient.http://www.sciencedirect.com/science/article/pii/S0370269319306458
collection DOAJ
language English
format Article
sources DOAJ
author Jorge Alfaro
Alex Soto
spellingShingle Jorge Alfaro
Alex Soto
Schwinger model à la Very Special Relativity
Physics Letters B
author_facet Jorge Alfaro
Alex Soto
author_sort Jorge Alfaro
title Schwinger model à la Very Special Relativity
title_short Schwinger model à la Very Special Relativity
title_full Schwinger model à la Very Special Relativity
title_fullStr Schwinger model à la Very Special Relativity
title_full_unstemmed Schwinger model à la Very Special Relativity
title_sort schwinger model à la very special relativity
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2019-10-01
description In this work, we show that Lorentz invariant theories in 1+1 dimensions admit new terms inspired by Very Special Relativity (VSR) theories. We have studied the Schwinger model in VSR. We show the axial current is classically conserved in the presence of a mass term coming from the VSR invariant terms but without standard Lorentz invariant mass. Furthermore, it is shown that both the vector current as well as the axial current are modified with respect to the free case when the fermion is coupled to an external electromagnetic field due to the nonlocal operator present in the theory. The axial anomaly is computed, and we found the same standard topological invariant with a modification in the coefficient.
url http://www.sciencedirect.com/science/article/pii/S0370269319306458
work_keys_str_mv AT jorgealfaro schwingermodelalaveryspecialrelativity
AT alexsoto schwingermodelalaveryspecialrelativity
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