English

$a$-theorem at large $N_f$

High Energy Physics - Theory 2019-01-16 v2 High Energy Physics - Lattice High Energy Physics - Phenomenology

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.

Cite

@article{arxiv.1808.00482,
  title  = {$a$-theorem at large $N_f$},
  author = {Oleg Antipin and Nicola Andrea Dondi and Francesco Sannino and Anders Eller Thomsen},
  journal= {arXiv preprint arXiv:1808.00482},
  year   = {2019}
}

Comments

5 pages, 2 figures - references updated, typos corrected

R2 v1 2026-06-23T03:21:59.923Z