Orbifold equivalence for finite density QCD and effective field theory

Abstract

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, μ_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 μ_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.

39 pages, 5 figures, 2 tables. v2: Minor typo fixes and clarifications

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• Sign problem and phase quenching in finite-density QCD: models, holography, and lattice
• Topological deconfinement transition in QCD at finite isospin density
• Quarkonium at non-zero isospin density
• On a new type of orbifold equivalence and M-theoretic AdS4/CFT3 duality
• Holographic realization of large-Nc orbifold equivalence with non-zero chemical potential
• Large Nc Equivalence and Baryons
• Phases of circle-compactified QCD with adjoint fermions at finite density
• The deconfining phase transition of SO(N) gauge theories in 2+1 dimensions
• QCD With A Chemical Potential, Topology, And The 't Hooft 1/N Expansion
• A new large-N limit and the planar equivalence outside the planar limit
• Finite isospin density probe for conformality
• Large-$N_c$ gauge theory and chiral random matrix theory
• On S-duality for holographic p-wave superconductors
• Some exact results on the QCD critical point
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• Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities
• Isospin asymmetric matter in a nonlocal chiral quark model