$a$-theorem at large $N_f$

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.

arXiv comment5 pages, 2 figures - references updated, typos corrected

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Cited by in corpus (5)

• An asymptotically safe guide to quantum gravity and matter
• Bubble-resummation and critical-point methods for $\beta$-functions at large $N$
• Weyl Consistency Conditions from a local Wilsonian Cutoff
• Gradient Flow and Holography from a Local Wilsonian Cutoff
• On the $a$-theorem in the Conformal Window