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Flavor symmetry breaking in lattice QCD with a mixed action

Oliver Bär1, Maarten Golterman2, and Yigal Shamir3

  • 1Department of Physics, Humboldt University, Berlin, Germany
  • 2Department of Physics and Astronomy, San Francisco State University, San Francisco, California 94132, USA
  • 3Raymond and Beverly Sackler School of Physics and Astronomy, Tel-Aviv University, Ramat Aviv, 69978 Israel

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Phys. Rev. D 83, 054501 – Published 3 March, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.054501

Abstract

We study the phase structure of mixed-action QCD with two Wilson sea quarks and any number of chiral valence quarks (and ghosts), starting from the chiral Lagrangian. A priori the effective theory allows for a rich phase structure, including a phase with a condensate made of sea and valence quarks. In such a phase, mass eigenstates would become admixtures of sea and valence fields, and pure-sea correlation functions would depend on the parameters of the valence sector, in contradiction with the actual setup of mixed-action simulations. Using that the spectrum of the chiral Dirac operator has a gap for nonzero quark mass we prove that spontaneous symmetry breaking of the flavor symmetries can only occur within the sea sector. This rules out a mixed condensate and implies restrictions on the low-energy constants of the effective theory.

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Phys. Rev. D 83, 054501– Published 3 March, 2011
  • Received 16 December 2010
Article part of CHORUS

© 2011 American Physical Society

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