Fermion-number susceptibility in lattice gauge theory

Steven Gottlieb, W. Liu, R. L. Renken, R. L. Sugar, William D Toussaint

Research output: Contribution to journalArticle

97 Citations (Scopus)

Abstract

We study the response of the quark number density to infinitesimal chemical potentials in quantum chromodynamics with two flavors of light quarks. We find that both the singlet and nonsinglet susceptibilities give clear signals for the chiral-symmetry-restoration phase transition. They are large and approximately equal in the high-temperature phase, which is consistent with a plasma of light-mass quarks. The quark-number susceptibility is consistent with zero in the low-temperature phase as expected from confinement. For U(1) lattice gauge theory with four flavors of fermions we find that the singlet susceptibility is zero in both the chiral-symmetric and broken phases as expected on theoretical grounds, while the nonsinglet susceptibility jumps at the phase transition.

Original languageEnglish (US)
Pages (from-to)2888-2896
Number of pages9
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume38
Issue number9
DOIs
StatePublished - 1988
Externally publishedYes

Fingerprint

gauge theory
fermions
quarks
magnetic permeability
restoration
quantum chromodynamics
symmetry

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Fermion-number susceptibility in lattice gauge theory. / Gottlieb, Steven; Liu, W.; Renken, R. L.; Sugar, R. L.; Toussaint, William D.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 38, No. 9, 1988, p. 2888-2896.

Research output: Contribution to journalArticle

Gottlieb, Steven ; Liu, W. ; Renken, R. L. ; Sugar, R. L. ; Toussaint, William D. / Fermion-number susceptibility in lattice gauge theory. In: Physical Review D - Particles, Fields, Gravitation and Cosmology. 1988 ; Vol. 38, No. 9. pp. 2888-2896.
@article{e3eebed5da9642edb91405b32438bbeb,
title = "Fermion-number susceptibility in lattice gauge theory",
abstract = "We study the response of the quark number density to infinitesimal chemical potentials in quantum chromodynamics with two flavors of light quarks. We find that both the singlet and nonsinglet susceptibilities give clear signals for the chiral-symmetry-restoration phase transition. They are large and approximately equal in the high-temperature phase, which is consistent with a plasma of light-mass quarks. The quark-number susceptibility is consistent with zero in the low-temperature phase as expected from confinement. For U(1) lattice gauge theory with four flavors of fermions we find that the singlet susceptibility is zero in both the chiral-symmetric and broken phases as expected on theoretical grounds, while the nonsinglet susceptibility jumps at the phase transition.",
author = "Steven Gottlieb and W. Liu and Renken, {R. L.} and Sugar, {R. L.} and Toussaint, {William D}",
year = "1988",
doi = "10.1103/PhysRevD.38.2888",
language = "English (US)",
volume = "38",
pages = "2888--2896",
journal = "Physical review D: Particles and fields",
issn = "0556-2821",
publisher = "American Institute of Physics",
number = "9",

}

TY - JOUR

T1 - Fermion-number susceptibility in lattice gauge theory

AU - Gottlieb, Steven

AU - Liu, W.

AU - Renken, R. L.

AU - Sugar, R. L.

AU - Toussaint, William D

PY - 1988

Y1 - 1988

N2 - We study the response of the quark number density to infinitesimal chemical potentials in quantum chromodynamics with two flavors of light quarks. We find that both the singlet and nonsinglet susceptibilities give clear signals for the chiral-symmetry-restoration phase transition. They are large and approximately equal in the high-temperature phase, which is consistent with a plasma of light-mass quarks. The quark-number susceptibility is consistent with zero in the low-temperature phase as expected from confinement. For U(1) lattice gauge theory with four flavors of fermions we find that the singlet susceptibility is zero in both the chiral-symmetric and broken phases as expected on theoretical grounds, while the nonsinglet susceptibility jumps at the phase transition.

AB - We study the response of the quark number density to infinitesimal chemical potentials in quantum chromodynamics with two flavors of light quarks. We find that both the singlet and nonsinglet susceptibilities give clear signals for the chiral-symmetry-restoration phase transition. They are large and approximately equal in the high-temperature phase, which is consistent with a plasma of light-mass quarks. The quark-number susceptibility is consistent with zero in the low-temperature phase as expected from confinement. For U(1) lattice gauge theory with four flavors of fermions we find that the singlet susceptibility is zero in both the chiral-symmetric and broken phases as expected on theoretical grounds, while the nonsinglet susceptibility jumps at the phase transition.

UR - http://www.scopus.com/inward/record.url?scp=34047221316&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34047221316&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.38.2888

DO - 10.1103/PhysRevD.38.2888

M3 - Article

AN - SCOPUS:34047221316

VL - 38

SP - 2888

EP - 2896

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 9

ER -