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

Yoshimasa Hidaka, Naoki Yamamoto

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

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
Volume108
Issue number12
DOIs
Publication statusPublished - 2012 Mar 19
Externally publishedYes

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theorems
quantum chromodynamics
quarks
equivalence
baryons
critical point
pions
phase diagrams
color
temperature

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

No-go theorem for critical phenomena in large-N c QCD. / Hidaka, Yoshimasa; Yamamoto, Naoki.

In: Physical Review Letters, Vol. 108, No. 12, 121601, 19.03.2012.

Research output: Contribution to journalArticle

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