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arXiv · 1110.3044

No-Go Theorem for Critical Phenomena in Large-Nc QCD

Yoshimasa Hidaka·Naoki Yamamoto
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Abstract

We derive some rigorous results on the chiral phase transition in QCD and QCD-like theories with a large number of colors, Nc, based on the QCD inequalities and the large-Nc orbifold equivalence. We show that critical phenomena and associated soft modes are forbidden in flavor-symmetric QCD at finite temperature T and finite but not so large quark chemical potential μfor any nonzero quark mass. In particular, the critical point in QCD at a finite baryon chemical potential μ_B = Ncμis ruled out, if the coordinate (T, μ) is outside the pion condensed phase in the corresponding phase diagram of QCD at a finite isospin chemical potential μ_I = 2μ.

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Yoshimasa Hidaka, Naoki Yamamoto. 2012-03-20. No-Go Theorem for Critical Phenomena in Large-Nc QCD. https://doi.org/10.1103/physrevlett.108.121601

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