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Title: Partially quenched gauge theories and an application to staggered fermions

Abstract

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.

Authors:
;  [1]
  1. (Department of Physics CB1105, Washington University, St. Louis, Missouri 63130 (United States))
Publication Date:
OSTI Identifier:
5409677
DOE Contract Number:  
FG02-91ER40628
Resource Type:
Journal Article
Journal Name:
Physical Review, D (Particles Fields); (United States)
Additional Journal Information:
Journal Volume: 49:1; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
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; FUNCTIONS; MATHEMATICAL MODELS; PARTICLE MODELS; QUANTUM FIELD THEORY; SYMMETRY; 662230* - Quantum Chromodynamics- (1992-); 662120 - General Theory of Particles & Fields- Symmetry, Conservation Laws, Currents & Their Properties- (1992-)

Citation Formats

Bernard, C.W., and Golterman, M.F.L. Partially quenched gauge theories and an application to staggered fermions. United States: N. p., 1994. Web. doi:10.1103/PhysRevD.49.486.
Bernard, C.W., & Golterman, M.F.L. Partially quenched gauge theories and an application to staggered fermions. United States. doi:10.1103/PhysRevD.49.486.
Bernard, C.W., and Golterman, M.F.L. Sat . "Partially quenched gauge theories and an application to staggered fermions". United States. doi:10.1103/PhysRevD.49.486.
@article{osti_5409677,
title = {Partially quenched gauge theories and an application to staggered fermions},
author = {Bernard, C.W. and Golterman, M.F.L.},
abstractNote = {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.},
doi = {10.1103/PhysRevD.49.486},
journal = {Physical Review, D (Particles Fields); (United States)},
issn = {0556-2821},
number = ,
volume = 49:1,
place = {United States},
year = {1994},
month = {1}
}