Flavor symmetry breaking in lattice QCD with a mixed action

Details Flavor symmetry breaking in lattice QCD with a mixed action Flavor symmetry breaking in lattice QCD with a mixed action

2010-12-05

arxiv.org/abs/1012.0987v2

Phys.Rev.D83:054501,2011

Physics

High Energy Physics

High Energy Physics - Lattice

published version, minor corrections, Revtex, 19 pages

Scientific paper

10.1103/PhysRevD.83.054501

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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