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Title: Critical end point in the presence of a chiral chemical potential

Abstract

A class of Polyakov-loop-modified Nambu-Jona-Lasinio models has been used to support a conjecture that numerical simulations of lattice-regularized QCD defined with a chiral chemical potential can provide information about the existence and location of a critical end point in the QCD phase diagram drawn in the plane spanned by baryon chemical potential and temperature. That conjecture is challenged by conflicts between the model results and analyses of the same problem using simulations of lattice-regularized QCD (lQCD) and well-constrained Dyson-Schwinger equation (DSE) studies. We find the conflict is resolved in favor of the lQCD and DSE predictions when both a physically motivated regularization is employed to suppress the contribution of high-momentum quark modes in the definition of the effective potential connected with the Polyakov-loop-modified Nambu-Jona-Lasinio models and the four-fermion coupling in those models does not react strongly to changes in the mean field that is assumed to mock-up Polyakov-loop dynamics. With the lQCD and DSE predictions thus confirmed, it seems unlikely that simulations of lQCD with mu(5) > 0 can shed any light on a critical end point in the regular QCD phase diagram.

Authors:
; ; ; ; ; ;
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science - Office of Nuclear Physics; National Natural Science Foundation of China (NNSFC)
OSTI Identifier:
1392291
DOE Contract Number:
AC02-06CH11357
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review D; Journal Volume: 94; Journal Issue: 7
Country of Publication:
United States
Language:
English

Citation Formats

Cui, Z. -F., Cloët, I. C., Lu, Y., Roberts, C. D., Schmidt, S. M., Xu, S. -S., and Zong, H. -S. Critical end point in the presence of a chiral chemical potential. United States: N. p., 2016. Web. doi:10.1103/PhysRevD.94.071503.
Cui, Z. -F., Cloët, I. C., Lu, Y., Roberts, C. D., Schmidt, S. M., Xu, S. -S., & Zong, H. -S. Critical end point in the presence of a chiral chemical potential. United States. doi:10.1103/PhysRevD.94.071503.
Cui, Z. -F., Cloët, I. C., Lu, Y., Roberts, C. D., Schmidt, S. M., Xu, S. -S., and Zong, H. -S. Sat . "Critical end point in the presence of a chiral chemical potential". United States. doi:10.1103/PhysRevD.94.071503.
@article{osti_1392291,
title = {Critical end point in the presence of a chiral chemical potential},
author = {Cui, Z. -F. and Cloët, I. C. and Lu, Y. and Roberts, C. D. and Schmidt, S. M. and Xu, S. -S. and Zong, H. -S.},
abstractNote = {A class of Polyakov-loop-modified Nambu-Jona-Lasinio models has been used to support a conjecture that numerical simulations of lattice-regularized QCD defined with a chiral chemical potential can provide information about the existence and location of a critical end point in the QCD phase diagram drawn in the plane spanned by baryon chemical potential and temperature. That conjecture is challenged by conflicts between the model results and analyses of the same problem using simulations of lattice-regularized QCD (lQCD) and well-constrained Dyson-Schwinger equation (DSE) studies. We find the conflict is resolved in favor of the lQCD and DSE predictions when both a physically motivated regularization is employed to suppress the contribution of high-momentum quark modes in the definition of the effective potential connected with the Polyakov-loop-modified Nambu-Jona-Lasinio models and the four-fermion coupling in those models does not react strongly to changes in the mean field that is assumed to mock-up Polyakov-loop dynamics. With the lQCD and DSE predictions thus confirmed, it seems unlikely that simulations of lQCD with mu(5) > 0 can shed any light on a critical end point in the regular QCD phase diagram.},
doi = {10.1103/PhysRevD.94.071503},
journal = {Physical Review D},
number = 7,
volume = 94,
place = {United States},
year = {Sat Oct 01 00:00:00 EDT 2016},
month = {Sat Oct 01 00:00:00 EDT 2016}
}