Anomalies and Discrete Chiral Symmetries

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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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Creutz, M. September 7, 2009.

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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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  • International Workshop on QCD Green’s Functions, Confinement and Phenomenology; Trento, Italy; 20090907 through 20090911

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  • Report No.: BNL--90494-2009-CP
  • Grant Number: DE-AC02-98CH10886
  • Office of Scientific & Technical Information Report Number: 979362
  • Archival Resource Key: ark:/67531/metadc926625

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Office of Scientific & Technical Information Technical Reports

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  • September 7, 2009

Added to The UNT Digital Library

  • Nov. 13, 2016, 7:26 p.m.

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  • Oct. 17, 2017, 5:48 p.m.

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Creutz, M. Anomalies and Discrete Chiral Symmetries, article, September 7, 2009; United States. (digital.library.unt.edu/ark:/67531/metadc926625/: accessed June 19, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.