## 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, μB, 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 μB. 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.

Original language | English (US) |
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Article number | 34 |

Journal | Journal of High Energy Physics |

Volume | 2011 |

Issue number | 6 |

DOIs | |

State | Published - 2011 |

Externally published | Yes |

## Keywords

- 1/N Expansion
- Chiral Lagrangians
- Lattice Gauge Field Theories
- Spontaneous Symmetry Breaking