Eur. Phys. J. B (2016) 89: 278
https://doi.org/10.1140/epjb/e2016-70509-4

Regular Article

UV/IR mixing in non-Fermi liquids: higher-loop corrections in different energy ranges

Perimeter Institute for Theoretical Physics, 31 Caroline St. N., Waterloo ON N2L 2Y5, Canada

^a e-mail: ipsita.mandal@gmail.com

Received: 30 August 2016
Received in final form: 31 October 2016
Published online: 21 December 2016

Abstract

We revisit the Ising-nematic quantum critical point with an m-dimensional Fermi surface by applying a dimensional regularization scheme, introduced in [I. Mandal, S.S. Lee, Phys. Rev. B 92, 035141 (2015)]. We compute the contribution from two-loop and three-loop diagrams in the intermediate energy range controlled by a crossover scale. We find that for m = 2, the corrections continue to be one-loop exact for both the infrared and intermediate energy regimes.