Anomalies and discrete chiral symmetries

Michael Creutz

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arXiv · 0909.5101

Anomalies and discrete chiral symmetries

Michael Creutz

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Abstract

The quantum anomaly that breaks the U(1) axial symmetry of massless multi-flavored QCD leaves behind a discrete flavor-singlet chiral invariance. With massive quarks, this residual symmetry has a close connection with the strong CP-violating parameter theta. One result is that if the lightest quarks are degenerate, then a first order transition will occur when theta passes through pi. The resulting framework helps clarify when the rooting prescription for extrapolating in the number of flavors is valid.

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Michael Creutz. 2009-09-28. Anomalies and discrete chiral symmetries. https://arxiv.org/abs/0909.5101

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