Universality of phase diagrams in QCD and QCD-like theories

Masanori Hanada, Naoki Yamamoto

Research output: Contribution to journalConference article

2 Citations (Scopus)

Abstract

We show the universality of phase diagrams in QCD and QCD-like theories through the large-Nc equivalence. The whole phase diagrams are identical between QCD at finite isospin chemical potential and SO(2Nc) and Sp(2Nc) gauge theories at finite baryon chemical potential. In the chiral limit, they are also identical to that of QCD at finite chiral chemical potential. Outside the pion or diquark condensed phase in these theories, the universality of phase diagrams is applicable to QCD at finite baryon chemical potential. We further argue that the universality may work approximately even for Nc = 3. Our result makes it possible to study QCD at finite baryon chemical potential and high temperature, especially the chiral phase transition, using sign-free theories on the lattice.

Original languageEnglish
JournalProceedings of Science
Volume139
Publication statusPublished - 2011 Jan 1
Externally publishedYes
Event29th International Symposium on Lattice Field Theory, Lattice 2011 - Squaw Valley, Lake Tahoe, United States
Duration: 2011 Jul 102011 Jul 16

Fingerprint

quantum chromodynamics
phase diagrams
baryons
equivalence
gauge theory
pions
temperature

ASJC Scopus subject areas

  • General

Cite this

Universality of phase diagrams in QCD and QCD-like theories. / Hanada, Masanori; Yamamoto, Naoki.

In: Proceedings of Science, Vol. 139, 01.01.2011.

Research output: Contribution to journalConference article

@article{c86fe34e4ea140158fe43f634c7d2693,
title = "Universality of phase diagrams in QCD and QCD-like theories",
abstract = "We show the universality of phase diagrams in QCD and QCD-like theories through the large-Nc equivalence. The whole phase diagrams are identical between QCD at finite isospin chemical potential and SO(2Nc) and Sp(2Nc) gauge theories at finite baryon chemical potential. In the chiral limit, they are also identical to that of QCD at finite chiral chemical potential. Outside the pion or diquark condensed phase in these theories, the universality of phase diagrams is applicable to QCD at finite baryon chemical potential. We further argue that the universality may work approximately even for Nc = 3. Our result makes it possible to study QCD at finite baryon chemical potential and high temperature, especially the chiral phase transition, using sign-free theories on the lattice.",
author = "Masanori Hanada and Naoki Yamamoto",
year = "2011",
month = "1",
day = "1",
language = "English",
volume = "139",
journal = "Proceedings of Science",
issn = "1824-8039",
publisher = "Sissa Medialab Srl",

}

TY - JOUR

T1 - Universality of phase diagrams in QCD and QCD-like theories

AU - Hanada, Masanori

AU - Yamamoto, Naoki

PY - 2011/1/1

Y1 - 2011/1/1

N2 - We show the universality of phase diagrams in QCD and QCD-like theories through the large-Nc equivalence. The whole phase diagrams are identical between QCD at finite isospin chemical potential and SO(2Nc) and Sp(2Nc) gauge theories at finite baryon chemical potential. In the chiral limit, they are also identical to that of QCD at finite chiral chemical potential. Outside the pion or diquark condensed phase in these theories, the universality of phase diagrams is applicable to QCD at finite baryon chemical potential. We further argue that the universality may work approximately even for Nc = 3. Our result makes it possible to study QCD at finite baryon chemical potential and high temperature, especially the chiral phase transition, using sign-free theories on the lattice.

AB - We show the universality of phase diagrams in QCD and QCD-like theories through the large-Nc equivalence. The whole phase diagrams are identical between QCD at finite isospin chemical potential and SO(2Nc) and Sp(2Nc) gauge theories at finite baryon chemical potential. In the chiral limit, they are also identical to that of QCD at finite chiral chemical potential. Outside the pion or diquark condensed phase in these theories, the universality of phase diagrams is applicable to QCD at finite baryon chemical potential. We further argue that the universality may work approximately even for Nc = 3. Our result makes it possible to study QCD at finite baryon chemical potential and high temperature, especially the chiral phase transition, using sign-free theories on the lattice.

UR - http://www.scopus.com/inward/record.url?scp=85053326475&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85053326475&partnerID=8YFLogxK

M3 - Conference article

VL - 139

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

ER -