Flavor symmetry breaking in lattice QCD with a mixed action

Journal Article · Tue Mar 01 00:00:00 EST 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.054501· OSTI ID:21537435

Baer, Oliver ^[1]; Golterman, Maarten ^[2]; Shamir, Yigal ^[3]

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

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.

• OSTI ID: 21537435
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 5; Other Information: DOI: 10.1103/PhysRevD.83.054501; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRALITY
CONDENSATES
CORRELATION FUNCTIONS
DIRAC OPERATORS
EIGENSTATES
FLAVOR MODEL
LAGRANGIAN FUNCTION
LATTICE FIELD THEORY
MASS
QUANTUM CHROMODYNAMICS
QUARK MATTER
QUARKS
SIMULATION
SPECTRA
SYMMETRY
SYMMETRY BREAKING
COMPOSITE MODELS
CONSTRUCTIVE FIELD THEORY
FERMIONS
FIELD THEORIES
FUNCTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATTER
PARTICLE MODELS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK MODEL