Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-03-08
JHEP 1106:034,2011
Physics
High Energy Physics
High Energy Physics - Theory
39 pages, 5 figures, 2 tables. v2: Minor typo fixes and clarifications
Scientific paper
10.1007/JHEP06(2011)034
In the large N_c limit, some apparently different gauge theories turn out to be equivalent due to large N_c 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, \mu_B, so long as one deforms the SO(2N_c) theory by certain "double-trace" terms. The deformed SO(2N_c) theory can be studied without a sign problem in the chiral limit, in contrast to SU(N_c) QCD at finite \mu_B. The purpose of the double-trace deformation in the SO(2N_c) theory is to prevent baryon number symmetry from breaking spontaneously at finite density, which is necessary for the equivalence to large N_c 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(2N_c) theory and large N_c QCD at finite density.
Cherman Aleksey
Tiburzi Brian C.
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