Flavor symmetry breaking in lattice QCD with a mixed action

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.

arXiv commentpublished version, minor corrections, Revtex, 19 pages

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• On the foundations of partially quenched chiral perturbation theory
• Overlap valence quarks on a twisted mass sea: a case study for mixed action Lattice QCD
• Radiative contribution to the effective potential in composite Higgs models from lattice gauge theory
• A Mixed Action Analysis of $\eta$ and ${\eta }^{\prime }$ Mesons
• Kondo effect with Wilson fermions
• QCD inequalities for hadron interactions
• Low-energy constant $L_{10}$ in a two-representation lattice theory
• Mixed action with Borici-Creutz fermions on staggered sea
• Impact of electromagnetism on phase structure for Wilson and twisted-mass fermions including isospin breaking
• Flavor symmetry breaking in mixed-action QCD