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★-Wars episode I: the phantom anomaly

2002; Elsevier BV; Volume: 620; Issue: 1-2 Linguagem: Inglês

10.1016/s0550-3213(01)00555-7

ISSN

1873-1562

Autores

Kenneth Intriligator, Jason Kumar,

Tópico(s)

Particle physics theoretical and experimental studies

Resumo

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 $\pi ^0\to \gamma \gamma$) 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.

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