Noncommutative Regularization In Gauge Theories
Abstract
Gauge invariance of noncommutative (NC) regularization which, on the basis of a Lorentz-invariant NC action regarded as a `regulated' action, neither introduces auxiliary fields nor extends dimensions to complex values, is proved by explicitly calculating photon self-energy in the one-loop approximation in scalar QED. Transversality of vacuum polarization in NC regularization is also briefly reviewed comparing with Pauli-Villars-Gupta and dimensional regularizations. NC regularization is applied to gauge-invariant calculation of one-loop gluon self-energy in U(N) gauge theory. It is shown that U(1) decouples from SU(N) in the one-loop gluon self-energy diagrams. That is, gauge-invariant result on the one-loop SU(N) gluon self-energy is obtained from consideration of Lorentz-invariant NC U(N) gauge theory.
Cite
@article{arxiv.hep-th/0404038,
title = {Noncommutative Regularization In Gauge Theories},
author = {Katsusada Morita},
journal= {arXiv preprint arXiv:hep-th/0404038},
year = {2007}
}
Comments
27 pages, 8 figures