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

• Hamada, Yu

  Department of Physics, Kyoto University

• Kawai, Hikaru

  Department of Physics, Kyoto University

Abstract

Recently, Grabowska and Kaplan [Phys. Rev. Lett. 116, 211602 (2016); Phys. Rev. D 94, 114504 (2016)] suggested a nonperturbative formulation of a chiral gauge theory, which consists of the conventional domain-wall fermion and a gauge field that evolves by gradient flow from one domain wall to the other. We introduce two sets of domain-wall fermions belonging to complex conjugate representations so that the effective theory is a 4D vector-like gauge theory. Then, as a natural definition of the axial-vector current, we consider a current that generates simultaneous phase transformations for the massless modes in 4 dimensions. However, this current is exactly conserved and does not reproduce the correct anomaly. In order to investigate this point precisely, we consider the mechanism of the conservation. We find that this current includes not only the axial current on the domain wall but also a contribution from the bulk, which is nonlocal in the sense of 4D fields. Therefore, the local current is obtained by subtracting the bulk contribution from it.

Journal

• Progress of Theoretical and Experimental Physics

  Progress of Theoretical and Experimental Physics 2017 (6), 2017-06

  Physical Society of Japan

Details

• CRID: 1050564288163948032
• NII Article ID: 120006591361
• ISSN: 20503911
• HANDLE: 2433/237304
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • CiNii Articles