Quark Masses and Chiral Symmetry

Michael Creutz

doi:10.1103/PhysRevD.52.2951

Quark Masses and Chiral Symmetry

High Energy Physics - Theory 2009-10-28 v1 High Energy Physics - Lattice

Authors: Michael Creutz

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Abstract

I discuss the global structure of the strongly interacting gauge theory of quarks and gluons as a function of the quark masses and the CP violating parameter $\theta$ . I concentrate on whether a first order phase transition occurs at $\theta=\pi.$ I show why this is expected when multiple flavors have a small degenerate mass. This transition can be removed by sufficient flavor-breaking. I speculate on the implications of this structure for Wilson's lattice fermions.

Keywords

quark masses chiral symmetry gauge theory cp violating parameter first order phase transition lattice fermions

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@article{arxiv.hep-th/9505112,
  title  = {Quark Masses and Chiral Symmetry},
  author = {Michael Creutz},
  journal= {arXiv preprint arXiv:hep-th/9505112},
  year   = {2009}
}

Comments

compressed postscript file, 20 pages with 10 figures. Also available at http://penguin.phy.bnl.gov/www/papers/BNL-61796.ps.Z

Quark Masses and Chiral Symmetry

Abstract

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