Partially quenched gauge theories and an application to staggered fermions

Journal Article · Sat Jan 01 00:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.486· OSTI ID:5409677

Bernard, C W; Golterman, M F.L. ^[1]

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1. Department of Physics CB1105, Washington University, St. Louis, Missouri 63130 (United States)

We extend our Lagrangian technique for chiral perturbation theory for quenched QCD to include theories in which only some of the quarks are quenched. We discuss the relationship between the partially quenched theory and a theory in which only the unquenched quarks are present. We also investigate the peculiar infrared divergences associated with the [eta][prime] in the quenched approximation, and find the conditions under which such divergences can appear in a partially quenched theory. We then apply our results to staggered fermion QCD in which the square root of the fermion determinant is taken, using the observation that this should correspond to a theory with four quarks, two of which are quenched.

• DOE Contract Number: FG02-91ER40628
• OSTI ID: 5409677
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 49:1; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM CHROMODYNAMICS
INFRARED DIVERGENCES
LAGRANGIAN FUNCTION
QUENCHING
CHIRAL SYMMETRY
CORRELATION FUNCTIONS
FERMIONS
MASS
PERTURBATION THEORY
UNIFIED GAUGE MODELS
FIELD THEORIES
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MATHEMATICAL MODELS
PARTICLE MODELS
QUANTUM FIELD THEORY
SYMMETRY
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