TY - JOUR
T1 - Orbifold equivalence for finite density QCD and effective field theory
AU - Cherman, Aleksey
AU - Tiburzi, Brian C.
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
SN - 1126-6708
VL - 2011
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 6
M1 - 34
ER -