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.
|Journal||EPJ Web of Conferences|
|Publication status||Published - Mar 26 2018|
|Event||35th International Symposium on Lattice Field Theory, Lattice 2017 - Granada, Spain|
Duration: Jun 18 2017 → Jun 24 2017
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)