Critical end point in the presence of a chiral chemical potential
Abstract
A class of Polyakovloopmodified NambuJonaLasinio models has been used to support a conjecture that numerical simulations of latticeregularized 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 latticeregularized QCD (lQCD) and wellconstrained DysonSchwinger 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 highmomentum quark modes in the definition of the effective potential connected with the Polyakovloopmodified NambuJonaLasinio models and the fourfermion coupling in those models does not react strongly to changes in the mean field that is assumed to mockup Polyakovloop 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:
 AC0206CH11357
 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. 2016.
"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 Polyakovloopmodified NambuJonaLasinio models has been used to support a conjecture that numerical simulations of latticeregularized 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 latticeregularized QCD (lQCD) and wellconstrained DysonSchwinger 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 highmomentum quark modes in the definition of the effective potential connected with the Polyakovloopmodified NambuJonaLasinio models and the fourfermion coupling in those models does not react strongly to changes in the mean field that is assumed to mockup Polyakovloop 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 = 2016,
month =
}

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