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

Journal Article · Sat Jun 01 00:00:00 EDT 1996 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.76.4472· OSTI ID:285755

Stephanov, M A ^[1]

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1. Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080 (United States)

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.}

• OSTI ID: 285755
• Journal Information: Physical Review Letters, Vol. 76, Issue 24; Other Information: PBD: Jun 1996
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
QUANTUM CHROMODYNAMICS
CHIRAL SYMMETRY
SYMMETRY BREAKING
DENSITY
QUENCHING
RANDOMNESS
EIGENVALUES
QUARKS
DIRAC OPERATORS