Some exact results on the QCD critical point

2012/11/22 by Yoshimasa Hidaka, Naoki Yamamoto
Physics and Astronomy · #Critical phenomena #Critical point (mathematics) #High-Energy Particle Collisions Research #Lattice QCD #Particle physics theoretical and experimental studies #Phase diagram #Pion #Point (geometry) #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.1088/1742-6596/432/1/012017

5 pages, 1 figure, proceedings for Extreme QCD (XQCD 2012), August 21-23, 2012, The George Washington University, Washington DC, USA

arxiv created 2012/11/22 · openalex publication_date 2013/04/30 · arxiv updated 2015/06/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We show, in a model-independent manner, that the QCD critical point can appear only inside the pion condensation phase of the phase-quenched QCD as long as the contribution of flavor-disconnected diagrams is negligible. The sign problem is known to be maximally severe in this region, implying that the QCD critical point is reachable by the present lattice QCD techniques only if there is an enhancement of the flavor-disconnected contribution at finite baryon chemical potential.

Citations

• QCD Inequalities for the Nucleon Mass and the Free Energy of Baryonic Matter
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