One-loop perturbative coupling of A and A? through the chiral overlap operator

Hiroki Makino, Okuto Morikawa, Hiroshi Suzuki

Research output: Contribution to journalConference articlepeer-review

Abstract

Recently, Grabowska and Kaplan constructed a four-dimensional lattice formulation of chiral gauge theories on the basis of the chiral overlap operator. At least in the tree-level approximation, the left-handed fermion is coupled only to the original gauge field A, while the right-handed one is coupled only to the gauge field A, a deformation of A by the gradient flow with infinite flow time. In this paper, we study the fermion one-loop effective action in their formulation. We show that the continuum limit of this effective action contains local interaction terms between A and A, even if the anomaly cancellation condition is met. These non-vanishing terms would lead an undesired perturbative spectrum in the formulation.

Original languageEnglish
Article number11013
JournalEPJ Web of Conferences
Volume175
DOIs
Publication statusPublished - Mar 26 2018
Event35th International Symposium on Lattice Field Theory, Lattice 2017 - Granada, Spain
Duration: Jun 18 2017Jun 24 2017

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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