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

Hiroki Makino, Okuto Morikawa, Hiroshi Suzuki

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


We study the one-loop effective action defined by the chiral overlap operator in the fourdimensional lattice formulation of chiral gauge theories by Grabowska and Kaplan. In the tree-level continuum limit, the left-handed component of the fermion is coupled only to the original gauge field A, while the right-handed one is coupled only to A∗, which is given by the gradient flow of A with infinite flow time. In this paper, we show that the continuum limit of the one-loop effective action contains local interaction terms between A and A∗, which do not generally vanish even if the gauge representation of the fermion is anomaly free.We argue that the presence of such interaction terms can be regarded as undesired gauge symmetry-breaking effects in the formulation.

Original languageEnglish
Article number063B08
JournalProgress of Theoretical and Experimental Physics
Issue number6
Publication statusPublished - Jun 2017

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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