TY - JOUR

T1 - Orbifold equivalence for finite density QCD and effective field theory

AU - Cherman, Aleksey

AU - Tiburzi, Brian C.

N1 - Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.

PY - 2011

Y1 - 2011

N2 - In the large Nc limit, some apparently different gauge theories turn out to be equivalent due to large Nc orbifold equivalence. We use effective field theory techniques to explore orbifold equivalence, focusing on the specific case of a recently discovered relation between an SO(2N c) gauge theory and QCD. The equivalence to QCD has been argued to hold at finite baryon chemical potential, μB, so long as one deforms the SO(2Nc) theory by certain "double-trace" terms. The deformed SO(2Nc) theory can be studied without a sign problem in the chiral limit, in contrast to SU(Nc) QCD at finite μB. The purpose of the double-trace deformation in the SO(2Nc) theory is to prevent baryon number symmetry from breaking spontaneously at finite density, which is necessary for the equivalence to large Nc QCD to be valid. The effective field theory analysis presented here clarifies the physical significance of double-trace deformations, and strongly supports the proposed equivalence between the deformed SO(2Nc) theory and large N c QCD at finite density.

AB - In the large Nc limit, some apparently different gauge theories turn out to be equivalent due to large Nc orbifold equivalence. We use effective field theory techniques to explore orbifold equivalence, focusing on the specific case of a recently discovered relation between an SO(2N c) gauge theory and QCD. The equivalence to QCD has been argued to hold at finite baryon chemical potential, μB, so long as one deforms the SO(2Nc) theory by certain "double-trace" terms. The deformed SO(2Nc) theory can be studied without a sign problem in the chiral limit, in contrast to SU(Nc) QCD at finite μB. The purpose of the double-trace deformation in the SO(2Nc) theory is to prevent baryon number symmetry from breaking spontaneously at finite density, which is necessary for the equivalence to large Nc QCD to be valid. The effective field theory analysis presented here clarifies the physical significance of double-trace deformations, and strongly supports the proposed equivalence between the deformed SO(2Nc) theory and large N c QCD at finite density.

KW - 1/N Expansion

KW - Chiral Lagrangians

KW - Lattice Gauge Field Theories

KW - Spontaneous Symmetry Breaking

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U2 - 10.1007/JHEP06(2011)034

DO - 10.1007/JHEP06(2011)034

M3 - Article

AN - SCOPUS:80053115379

VL - 2011

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 6

M1 - 34

ER -