Large $$N_\mathrm{f}$$ N f for multiple representations

Large $$N_\mathrm{f}$$ N f for multiple representations

Abstract We present an extension of the large- $$N_\mathrm{f}$$ N f formalism that allows one to study cases with multiple fermion representations. The pole structure in the beta function is traced back to the intrinsic non-abelian nature of the gauge group, independently from the fermion representa...

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Main Authors: Giacomo Cacciapaglia, Shahram Vatani
Format: Article
Language:English
Published: SpringerOpen 2021-05-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-021-09257-8
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spelling doaj-f8368a6b9dfa4508ae0ada4a8c82596f2021-05-30T11:45:00ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-05-018151910.1140/epjc/s10052-021-09257-8Large $$N_\mathrm{f}$$ N f for multiple representationsGiacomo Cacciapaglia0Shahram Vatani1Univ. Lyon, Université Claude Bernard Lyon 1, CNRS/IN2P3, UMR5822 IP2IUniv. Lyon, Université Claude Bernard Lyon 1, CNRS/IN2P3, UMR5822 IP2IAbstract We present an extension of the large- $$N_\mathrm{f}$$ N f formalism that allows one to study cases with multiple fermion representations. The pole structure in the beta function is traced back to the intrinsic non-abelian nature of the gauge group, independently from the fermion representation. This result validates the conjectured existence of an interactive UV fixed point for non-abelian gauge theories with large fermion multiplicity. Finally, we apply our results to chiral gauge theories.https://doi.org/10.1140/epjc/s10052-021-09257-8
collection DOAJ
language English
format Article
sources DOAJ
author Giacomo Cacciapaglia
Shahram Vatani
spellingShingle Giacomo Cacciapaglia
Shahram Vatani
Large $$N_\mathrm{f}$$ N f for multiple representations
European Physical Journal C: Particles and Fields
author_facet Giacomo Cacciapaglia
Shahram Vatani
author_sort Giacomo Cacciapaglia
title Large $$N_\mathrm{f}$$ N f for multiple representations
title_short Large $$N_\mathrm{f}$$ N f for multiple representations
title_full Large $$N_\mathrm{f}$$ N f for multiple representations
title_fullStr Large $$N_\mathrm{f}$$ N f for multiple representations
title_full_unstemmed Large $$N_\mathrm{f}$$ N f for multiple representations
title_sort large $$n_\mathrm{f}$$ n f for multiple representations
publisher SpringerOpen
series European Physical Journal C: Particles and Fields
issn 1434-6044
1434-6052
publishDate 2021-05-01
description Abstract We present an extension of the large- $$N_\mathrm{f}$$ N f formalism that allows one to study cases with multiple fermion representations. The pole structure in the beta function is traced back to the intrinsic non-abelian nature of the gauge group, independently from the fermion representation. This result validates the conjectured existence of an interactive UV fixed point for non-abelian gauge theories with large fermion multiplicity. Finally, we apply our results to chiral gauge theories.
url https://doi.org/10.1140/epjc/s10052-021-09257-8
work_keys_str_mv AT giacomocacciapaglia largenmathrmfnfformultiplerepresentations
AT shahramvatani largenmathrmfnfformultiplerepresentations
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