No-go theorem for critical phenomena in large-N c QCD

Yoshimasa Hidaka, Naoki Yamamoto

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)


We derive some rigorous results on the chiral phase transition in QCD and QCD-like theories with a large number of colors, N c, based on the QCD inequalities and the large-N c 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 μ for any nonzero quark mass. In particular, the critical point in QCD at a finite baryon chemical potential μ B=N cμ is 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.

Original languageEnglish
Article number121601
JournalPhysical review letters
Issue number12
Publication statusPublished - 2012 Mar 19
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy


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