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Title: Random matrix model of QCD at finite density and the nature of the quenched limit

Abstract

We use a random matrix model to study chiral symmetry breaking in QCD at finite chemical potential {mu}. We solve the model and compute the eigenvalue density of the Dirac matrix on a complex plane. A naive {open_quote}{open_quote}replica trick{close_quote}{close_quote} fails for {mu}{ne}0; we find that quenched QCD is not a simple {ital n}{r_arrow}0 limit of QCD with {ital n} quarks. It is the limit of a theory with 2{ital n} quarks: {ital n} quarks with original action and {ital n} quarks with conjugate action. The results agree with earlier studies of lattice QCD at {mu}{ne}0 and provide a simple analytical explanation of a long-standing puzzle. {copyright} {ital 1996 The American Physical Society.}

Authors:
 [1]
  1. Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080 (United States)
Publication Date:
OSTI Identifier:
285755
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 76; Journal Issue: 24; Other Information: PBD: Jun 1996
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; QUANTUM CHROMODYNAMICS; CHIRAL SYMMETRY; SYMMETRY BREAKING; DENSITY; QUENCHING; RANDOMNESS; EIGENVALUES; QUARKS; DIRAC OPERATORS

Citation Formats

Stephanov, M.A.. Random matrix model of QCD at finite density and the nature of the quenched limit. United States: N. p., 1996. Web. doi:10.1103/PhysRevLett.76.4472.
Stephanov, M.A.. Random matrix model of QCD at finite density and the nature of the quenched limit. United States. doi:10.1103/PhysRevLett.76.4472.
Stephanov, M.A.. Sat . "Random matrix model of QCD at finite density and the nature of the quenched limit". United States. doi:10.1103/PhysRevLett.76.4472.
@article{osti_285755,
title = {Random matrix model of QCD at finite density and the nature of the quenched limit},
author = {Stephanov, M.A.},
abstractNote = {We use a random matrix model to study chiral symmetry breaking in QCD at finite chemical potential {mu}. We solve the model and compute the eigenvalue density of the Dirac matrix on a complex plane. A naive {open_quote}{open_quote}replica trick{close_quote}{close_quote} fails for {mu}{ne}0; we find that quenched QCD is not a simple {ital n}{r_arrow}0 limit of QCD with {ital n} quarks. It is the limit of a theory with 2{ital n} quarks: {ital n} quarks with original action and {ital n} quarks with conjugate action. The results agree with earlier studies of lattice QCD at {mu}{ne}0 and provide a simple analytical explanation of a long-standing puzzle. {copyright} {ital 1996 The American Physical Society.}},
doi = {10.1103/PhysRevLett.76.4472},
journal = {Physical Review Letters},
number = 24,
volume = 76,
place = {United States},
year = {1996},
month = {6}
}