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Orbifold equivalence for finite density QCD and effective field theory

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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.

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Authors and Affiliations

  1. Department of Applied Mathematics and Theoretical Physics, Cambridge University, Cambridge, CB3 0WB, U.K.

    Aleksey Cherman

  2. Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts, 02139, U.S.A.

    Brian C. Tiburzi

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  1. Aleksey Cherman
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  2. Brian C. Tiburzi
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Correspondence to Aleksey Cherman.

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Cherman, A., Tiburzi, B.C. Orbifold equivalence for finite density QCD and effective field theory. J. High Energ. Phys. 2011, 34 (2011). https://doi.org/10.1007/JHEP06(2011)034

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