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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2021-05-01
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Series: | European Physical Journal C: Particles and Fields |
Online Access: | https://doi.org/10.1140/epjc/s10052-021-09257-8 |
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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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1721420100561534976 |