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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Bibliographic Details
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
Description
Summary: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.
ISSN:1434-6044
1434-6052