English

Integer- and Non-Integer-Shift of the Chern-Simons Coupling under a Local Higher Covariant Derivative Regulator

High Energy Physics - Theory 2007-05-23 v1

Abstract

The Chern-Simons coupling shift is calculated within the framework of the hybrid regularization based on a local higher covariant derivative regulator. When the Yang-Mills term is present in the theory the well-know integer-shift is obtained, but is absent, the shift value is non-integer. These results show a possibility that a non-integer-shift can be derived using a local higher covariant derivative and also suggest that the Yang-Mills term plays an important role in the integer-shift of the Chern-Simons coupling.

Cite

@article{arxiv.hep-th/0201086,
  title  = {Integer- and Non-Integer-Shift of the Chern-Simons Coupling under a Local Higher Covariant Derivative Regulator},
  author = {Koh-ichi Nittoh},
  journal= {arXiv preprint arXiv:hep-th/0201086},
  year   = {2007}
}
R2 v1 2026-07-22T15:08:36.148Z