# $a$-theorem at large ${N}_{f}$

Antipin, Oleg (Rudjer Boskovic Institute, Division of Theoretical Physics, Bijenička 54, HR-10000 Zagreb, Croatia) ; Dondi, Nicola Andrea (CP3-Origins & Danish IAS, University of Southern Denmark, Campusvej 55, Odense M—DK-5230, Denmark) ; Sannino, Francesco (CP3-Origins & Danish IAS, University of Southern Denmark, Campusvej 55, Odense M—DK-5230, Denmark) ; Thomsen, Anders Eller (CP3-Origins & Danish IAS, University of Southern Denmark, Campusvej 55, Odense M—DK-5230, Denmark)

11 January 2019

Abstract: We determine the Jack and Osborn $a$-function and related metric for gauge-fermion theories to leading order in the large number of fermions and to all orders in the gauge coupling, demonstrating that the strong $a$-theorem is violated for the minimal choice of the $a$-function.

Published in: Physical Review D 99 (2019)