https://doi.org/10.1051/epjconf/201817511013
One-loop perturbative coupling of A and A★ through the chiral overlap operator
Department of Physics, Kyushu University 744 Motooka, Nishi-ku, Fukuoka, 819-0395, Japan
* Speaker, e-mail: o-morikawa@phys.kyushu-u.ac.jp
Published online: 26 March 2018
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.
© The Authors, published by EDP Sciences, 2018
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