# 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…

## 4 Citations

### A calculation of the gauge anomaly with the chiral overlap operator

- PhysicsProgress of Theoretical and Experimental Physics
- 2018

We investigate the property of the effective action with the chiral overlap operator, which was derived by Grabowska and Kaplan. They proposed a lattice formulation of four-dimensional chiral gauge…

### On the gauge-invariant path-integral measure for the overlap Weyl fermions in 16 of SO(10)

- PhysicsProgress of Theoretical and Experimental Physics
- 2019

We consider the lattice formulation of SO(10) chiral gauge theory with left-handed Weyl fermions in the 16-dimensional spinor representation ($\underline{16}$) within the framework of the overlap…

### On the infinite gradient-flow for the domain-wall formulation of chiral lattice gauge theories

- PhysicsJournal of High Energy Physics
- 2020

We examine the proposal by Grabowska and Kaplan (GK) to use the infinite gradient flow in the domain-wall formulation of chiral lattice gauge theories. We consider the case of Abelian theories in…

### Why is the mission impossible? Decoupling the mirror Ginsparg–Wilson fermions in the lattice models for two-dimensional Abelian chiral gauge theories

- PhysicsProgress of Theoretical and Experimental Physics
- 2019

It is known that the four-dimensional Abelian chiral gauge theories of an anomaly-free set of Wely fermions can be formulated on the lattice preserving the exact gauge invariance and the required…

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