English

*-Wars Episode I: The Phantom Anomaly

High Energy Physics - Theory 2009-11-07 v3

Abstract

As pointed out, chiral non-commutative theories exist, and examples can be constructed via string theory. Gauge anomalies require the matter content of individual gauge group factors, including U(1) factors, to be non-chiral. All ``bad'' mixed gauge anomalies, and also all ``good'' (e.g. for π0γγ\pi ^0\to \gamma \gamma) ABJ type flavor anomalies, automatically vanish in non-commutative gauge theories. We interpret this as being analogous to string theory, and an example of UV/IR mixing: non-commutative gauge theories automatically contain ``closed string,'' Green-Schwarz fields, which cancel these anomalies.

Keywords

Cite

@article{arxiv.hep-th/0107199,
  title  = {*-Wars Episode I: The Phantom Anomaly},
  author = {Ken Intriligator and Jason Kumar},
  journal= {arXiv preprint arXiv:hep-th/0107199},
  year   = {2009}
}

Comments

20 pages. Added references and minor typos corrected