Large Nf for multiple representations

Giacomo Cacciapaglia

doi:10.1140/epjc/s10052-021-09257-8

Large Nf for multiple representations

2021-05-29

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DOI：10.1140/epjc/s10052-021-09257-8

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We present an extension of the large-Nf 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.

Keyword:

MASS ANOMALOUS DIMENSION

GAMMA-FUNCTION

BETA-FUNCTION

O(1/N-F(2))

Large Nf for multiple representations

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