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Axial U(1) current in Grabowska and Kaplan's formulation · Around

2017

Axial U(1) current in Grabowska and Kaplan's formulation

Hamada, Yu, Kawai, Hikaru

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Recently, Grabowska and Kaplan suggested a non-perturbative formulation of a chiral gauge theory, which consists of the conventional domain-wall fermion and a gauge field that evolves by the gradient flow from one domain wall to the other.

In this paper, we discuss the U(1) axial-vector current in 4 dimensions using this formulation.
We introduce two sets of domain-wall fermions belonging to complex conjugate representations so that the effective theory is a 4-dimensional vector-like gauge theory.
Then, as a natural definition of the axial-vector current, we consider a current that generates the simultaneous phase transformations for the massless modes in 4 dimensions.

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2014
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D. M. Grabowska and D. B. Kaplan, Phys. Rev. Lett. 116
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