Universality of Phases in QCD and QCD-like Theories

2011/03/31 by Masanori Hanada, Naoki Yamamoto · 1 citation
Physics and Astronomy · #hep-ph #hep-lat #hep-th

paper · pdf · doi:10.1007/jhep02(2012)138

published as JHEP 1202 (2012) 138 · v1: 35 pages, 6 figures; v2: 37 pages, 6 figures, minor improvements, conclusion unchanged; v3: version published in JHEP

arxiv created 2012/03/06 · arxiv updated 2012/03/07

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 region 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.

Cited by

• Dense baryon matter with isospin and chiral imbalance in the framework of NJL₄ model at large N_c: duality between chiral symmetry breaking and charged pion condensation

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