Contribution Parallel
One-loop perturbative coupling of $A$ and $A_\star$ through the chiral overlap operator
Speakers
- Mr. Okuto MORIKAWA
Primary authors
- Mr. Okuto MORIKAWA (Kyushu University)
Co-authors
- Mr. Hiroki MAKINO (Kyushu University)
- Prof. Hiroshi SUZUKI (Kyushu University)
Files
Content
We study the one-loop effective action defined by the chiral overlap operator in the 4-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 action contains local interaction terms between $A$ and~$A_\star$, 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.
Preferred track (if multiple tracks have been selected)
Theoretical Developments
