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Journal of High Energy Physics

, 2012:138 | Cite as

Universality of Phases in QCD and QCD-like Theories

  • Masanori Hanada
  • Naoki YamamotoEmail author
Article
First Online:

Abstract

We argue that the whole or the part of the phase diagrams of QCD and QCD-like theories should be universal in the large-N c limit through the orbifold equivalence. The whole phase diagrams, including the chiral phase transitions and the BEC-BCS crossover regions, are identical between SU(N c) QCD at finite isospin chemical potential and SO(2N c) and Sp(2N c) gauge theories at finite baryon chemical potential. Outside the BEC-BCS crossover regions in these theories, the phase diagrams are also identical to that of SU(N c ) QCD at finite baryon chemical potential. We give examples of the universality in some solvable cases: (i) QCD and QCD-like theories at asymptotically high density where the controlled weak-coupling calculations are possible, (ii) chiral random matrix theories of different universality classes, which are solvable large-N (large volume) matrix models of QCD. Our results strongly suggest that the chiral phase transition and the QCD critical point at finite baryon chemical potential can be studied using sign-free theories, such as QCD at finite isospin chemical potential, in lattice simulations.

Keywords

Matrix Models 1/N Expansion QCD 
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© SISSA, Trieste, Italy 2012

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of WashingtonSeattleU.S.A.
  2. 2.Institute for Nuclear TheoryUniversity of WashingtonSeattleU.S.A.

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