Color-flavor locking and chiral symmetry breaking in high density QCD

Mark Alford; Krishna Rajagopal; Frank Wilczek

doi:10.1016/S0550-3213(98)00668-3

Color-flavor locking and chiral symmetry breaking in high density QCD

Mark Alford, Krishna Rajagopal, Frank Wilczek

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

1064 Scopus citations

Abstract

We propose a symmetry breaking scheme for QCD with three massless quarks at high baryon density wherein the color and flavor SU(3)_colorXSU(3)_LXSU(3)_R symmetries are broken down to the diagonal subgroup SU(3)_color+L+R by the formation of a condensate of quark Cooper pairs. We discuss general properties that follow from this hypothesis, including the existence of gaps for quark and gluon excitations, the existence of Nambu-Goldstone bosons which are excitations of the diquark condensate, and the existence of a modified electromagnetic gauge interaction which is unbroken and which assigns integral charge to the elementary excitations. We present mean-field results for a Hamiltonian in which the interaction between quarks is modeled by that induced by single-gluon exchange. We find gaps of order 10-100 MeV for plausible values of the coupling. We discuss the effects of non-zero temperature, non-zero quark masses and instanton-induced interactions on ourresults.

Original language	English (US)
Pages (from-to)	443-458
Number of pages	16
Journal	Nuclear Physics B
Volume	537
Issue number	1-3
DOIs	https://doi.org/10.1016/S0550-3213(98)00668-3
State	Published - Jan 4 1999
Externally published	Yes

Keywords

Density
QCD
Superconductivity
Symmetry breaking

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/S0550-3213(98)00668-3

Cite this

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title = "Color-flavor locking and chiral symmetry breaking in high density QCD",

abstract = "We propose a symmetry breaking scheme for QCD with three massless quarks at high baryon density wherein the color and flavor SU(3)colorXSU(3)LXSU(3)R symmetries are broken down to the diagonal subgroup SU(3)color+L+R by the formation of a condensate of quark Cooper pairs. We discuss general properties that follow from this hypothesis, including the existence of gaps for quark and gluon excitations, the existence of Nambu-Goldstone bosons which are excitations of the diquark condensate, and the existence of a modified electromagnetic gauge interaction which is unbroken and which assigns integral charge to the elementary excitations. We present mean-field results for a Hamiltonian in which the interaction between quarks is modeled by that induced by single-gluon exchange. We find gaps of order 10-100 MeV for plausible values of the coupling. We discuss the effects of non-zero temperature, non-zero quark masses and instanton-induced interactions on ourresults.",

keywords = "Density, QCD, Superconductivity, Symmetry breaking",

author = "Mark Alford and Krishna Rajagopal and Frank Wilczek",

note = "Funding Information: The research of M.G.A. and F.W. is supported in part by DOE grant DE-FG02-90ER40542; M.G.A. is also supported by the generosity of Frank and Peggy Taplin. K.R. is supported in part by DOE cooperative research agreement DE-FC02-94ER40818.",

year = "1999",

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doi = "10.1016/S0550-3213(98)00668-3",

language = "English (US)",

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T1 - Color-flavor locking and chiral symmetry breaking in high density QCD

AU - Alford, Mark

AU - Rajagopal, Krishna

AU - Wilczek, Frank

N1 - Funding Information: The research of M.G.A. and F.W. is supported in part by DOE grant DE-FG02-90ER40542; M.G.A. is also supported by the generosity of Frank and Peggy Taplin. K.R. is supported in part by DOE cooperative research agreement DE-FC02-94ER40818.

PY - 1999/1/4

Y1 - 1999/1/4

N2 - We propose a symmetry breaking scheme for QCD with three massless quarks at high baryon density wherein the color and flavor SU(3)colorXSU(3)LXSU(3)R symmetries are broken down to the diagonal subgroup SU(3)color+L+R by the formation of a condensate of quark Cooper pairs. We discuss general properties that follow from this hypothesis, including the existence of gaps for quark and gluon excitations, the existence of Nambu-Goldstone bosons which are excitations of the diquark condensate, and the existence of a modified electromagnetic gauge interaction which is unbroken and which assigns integral charge to the elementary excitations. We present mean-field results for a Hamiltonian in which the interaction between quarks is modeled by that induced by single-gluon exchange. We find gaps of order 10-100 MeV for plausible values of the coupling. We discuss the effects of non-zero temperature, non-zero quark masses and instanton-induced interactions on ourresults.

AB - We propose a symmetry breaking scheme for QCD with three massless quarks at high baryon density wherein the color and flavor SU(3)colorXSU(3)LXSU(3)R symmetries are broken down to the diagonal subgroup SU(3)color+L+R by the formation of a condensate of quark Cooper pairs. We discuss general properties that follow from this hypothesis, including the existence of gaps for quark and gluon excitations, the existence of Nambu-Goldstone bosons which are excitations of the diquark condensate, and the existence of a modified electromagnetic gauge interaction which is unbroken and which assigns integral charge to the elementary excitations. We present mean-field results for a Hamiltonian in which the interaction between quarks is modeled by that induced by single-gluon exchange. We find gaps of order 10-100 MeV for plausible values of the coupling. We discuss the effects of non-zero temperature, non-zero quark masses and instanton-induced interactions on ourresults.

KW - Density

KW - QCD

KW - Superconductivity

KW - Symmetry breaking

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DO - 10.1016/S0550-3213(98)00668-3

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VL - 537

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EP - 458

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1-3

ER -

Color-flavor locking and chiral symmetry breaking in high density QCD

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Keywords

ASJC Scopus subject areas

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