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

@article{Makino2017OneloopPC,
  title={One-loop perturbative coupling of A and A☆ through the chiral overlap operator},
  author={Hiroki Makino and Okuto Morikawa and Hiroshi Suzuki},
  journal={Progress of Theoretical and Experimental Physics},
  year={2017},
  volume={2017}
}
We study the one-loop effective action defined by the chiral overlap operator in the four-dimensional 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~$A_\star$, 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… 
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