Random matrix model for chiral symmetry breaking

A. D. Jackson; J. J.M. Verbaarschot

doi:10.1103/PhysRevD.53.7223

Random matrix model for chiral symmetry breaking

A. D. Jackson
, J. J.M. Verbaarschot

Physics and Astronomy

Stony Brook University

Research output: Contribution to journal › Article › peer-review

90 Scopus citations

Abstract

We formulate a random matrix model which mimics the chiral phase transition in QCD with two light flavors. Two critical exponents are calculated. We obtain the mean-field values β=1/2 and δ=3. We also find that the chiral phase transition can be characterized by the dynamics of the smallest eigenvalue of the Dirac operator. This suggests an alternative order parameter which may be of relevance for lattice QCD simulations.

Original language	English
Pages (from-to)	7223-7230
Number of pages	8
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	53
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevD.53.7223
State	Published - 1996

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title = "Random matrix model for chiral symmetry breaking",

abstract = "We formulate a random matrix model which mimics the chiral phase transition in QCD with two light flavors. Two critical exponents are calculated. We obtain the mean-field values β=1/2 and δ=3. We also find that the chiral phase transition can be characterized by the dynamics of the smallest eigenvalue of the Dirac operator. This suggests an alternative order parameter which may be of relevance for lattice QCD simulations.",

author = "Jackson, \{A. D.\} and Verbaarschot, \{J. J.M.\}",

year = "1996",

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AU - Jackson, A. D.

AU - Verbaarschot, J. J.M.

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AB - We formulate a random matrix model which mimics the chiral phase transition in QCD with two light flavors. Two critical exponents are calculated. We obtain the mean-field values β=1/2 and δ=3. We also find that the chiral phase transition can be characterized by the dynamics of the smallest eigenvalue of the Dirac operator. This suggests an alternative order parameter which may be of relevance for lattice QCD simulations.

UR - https://www.scopus.com/pages/publications/0000536791

U2 - 10.1103/PhysRevD.53.7223

DO - 10.1103/PhysRevD.53.7223

M3 - Article

AN - SCOPUS:0000536791

SN - 1550-7998

VL - 53

SP - 7223

EP - 7230

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 12

ER -

Random matrix model for chiral symmetry breaking

Abstract

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