Hot QCD at finite isospin density: Confronting the SU(3) Nambu–Jona-Lasinio model with recent lattice data

Lopes, Bruno S.; Avancini, Sidney S.; Bandyopadhyay, Aritra; Duarte, Dyana C.; Farias, Ricardo L. S.

doi:10.1103/PhysRevD.103.076023

Title: Hot QCD at finite isospin density: Confronting the SU(3) Nambu–Jona-Lasinio model with recent lattice data

Journal Article · Fri Apr 30 00:00:00 EDT 2021 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.103.076023· OSTI ID:1781186

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Extending our recently published SU(2) results for zero temperature, we now compute the QCD equation of state for finite isospin density within the three-flavor Nambu–Jona-Lasinio (NJL) model in the mean field approximation, motivated by the recently obtained lattice QCD results for both zero and finite temperatures. Like our previous study, here also we have considered both the commonly used traditional cutoff regularization scheme and the medium separation scheme. Our results are compared with recent high-precision lattice simulations as well as previously obtained results in two-flavor Nambu–Jona-Lasinio model. The agreement between the lattice results and the predictions from three-flavor NJL model is very good for low values of μ_I (for both zero and finite temperatures). For larger values of μ_I, the agreement between lattice data and the two-flavor NJL predictions is surprisingly good and better than with the three-flavor predictions.

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Research Organization:: Univ. of Washington, Seattle, WA (United States)

Sponsoring Organization:: USDOE Office of Science (SC); Brazilian National Council for Scientific and Technological Development; São Paulo Research Foundation; Rio Grande do Sul Research Support Foundation (FAPERGS); Guangdong Major Project of Basic and Applied Basic Research; Science and Technology Program of Guangzhou Project

Grant/Contract Number:: FG02-00ER41132; 304758/2017-5; 304518/2019-0; 149831/2020-0; 464898/2014-5; 2017/26111-4; 19/2551-0000690-0; 19/2551-0001948-3; 2020B0301030008; 2019050001

OSTI ID:: 1781186

Alternate ID(s):: OSTI ID: 1849339

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 103 Journal Issue: 7; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (75)

QCD-like theories at finite baryon and isospin density Splittorff, K.; Son, D. T.; Stephanov, M. A. Physical Review D, Vol. 64, Issue 1 https://doi.org/10.1103/PhysRevD.64.016003	journal	May 2001
A complex path around the sign problem Bedaque, Paulo F. EPJ Web of Conferences, Vol. 175 https://doi.org/10.1051/epjconf/201817501020	journal	January 2018
NJL-model analysis of dense quark matter Buballa, M. Physics Reports, Vol. 407, Issue 4-6 https://doi.org/10.1016/j.physrep.2004.11.004	journal	February 2005
Pion condensation in quark matter with finite baryon density Ebert, D.; Klimenko, K. G. Journal of Physics G: Nuclear and Particle Physics, Vol. 32, Issue 5 https://doi.org/10.1088/0954-3899/32/5/001	journal	March 2006
Quark and pion condensates at finite isospin density in chiral perturbation theory Adhikari, Prabal; Andersen, Jens O. The European Physical Journal C, Vol. 80, Issue 11 https://doi.org/10.1140/epjc/s10052-020-08574-8	journal	November 2020
Phase structure of Nambu–Jona-Lasinio model at finite isospin density He, Lianyi; Zhuang, Pengfei Physics Letters B, Vol. 615, Issue 1-2 https://doi.org/10.1016/j.physletb.2005.03.066	journal	May 2005
Quenched lattice QCD at finite isospin density and related theories Kogut, J. B.; Sinclair, D. K. Physical Review D, Vol. 66, Issue 1 https://doi.org/10.1103/PhysRevD.66.014508	journal	July 2002
Pion condensation in electrically neutral cold matter with finite baryon density Ebert, D.; Klimenko, K. G. The European Physical Journal C, Vol. 46, Issue 3 https://doi.org/10.1140/epjc/s2006-02527-5	journal	April 2006
Boson stars Jetzer, P. Physics Reports, Vol. 220, Issue 4 https://doi.org/10.1016/0370-1573(92)90123-H	journal	November 1992
Two-flavor chiral perturbation theory at nonzero isospin: pion condensation at zero temperature Adhikari, Prabal; Andersen, Jens O.; Kneschke, Patrick The European Physical Journal C, Vol. 79, Issue 10 https://doi.org/10.1140/epjc/s10052-019-7381-4	journal	October 2019
Inhomogeneous charged pion condensation in chiral asymmetric dense quark matter in the framework of a ${NJL}_{2}$ model Khunjua, T. G.; Klimenko, K. G.; Zhokhov, R. N. Physical Review D, Vol. 95, Issue 10 https://doi.org/10.1103/PhysRevD.95.105010	journal	May 2017
Chiral imbalanced hot and dense quark matter: NJL analysis at the physical point and comparison with lattice QCD Khunjua, T. G.; Klimenko, K. G.; Zhokhov, R. N. The European Physical Journal C, Vol. 79, Issue 2 https://doi.org/10.1140/epjc/s10052-019-6654-2	journal	February 2019
Charged pion condensation and duality in dense and hot chirally and isospin asymmetric quark matter in the framework of the ${NJL}_{2}$ model Khunjua, T. G.; Klimenko, K. G.; Zhokhov, R. N. Physical Review D, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevD.100.034009	journal	August 2019
QCD at nonzero isospin asymmetry Brandt, Bastian; Endrodi, Gergely; Schmalzbauer, Sebastian Proceedings of XIII Quark Confinement and the Hadron Spectrum — PoS(Confinement2018) https://doi.org/10.22323/1.336.0260	conference	September 2019
Multicomponent meson superfluids in chiral perturbation theory Lepori, L.; Mannarelli, M. Physical Review D, Vol. 99, Issue 9 https://doi.org/10.1103/PhysRevD.99.096011	journal	May 2019
Cutoff-independent regularization of four-fermion interactions for color superconductivity Farias, R. L. S.; Dallabona, G.; Krein, G. Physical Review C, Vol. 73, Issue 1 https://doi.org/10.1103/PhysRevC.73.018201	journal	January 2006
Erratum: Lepton asymmetry and the cosmic QCD transition Schwarz, Dominik J.; Stuke, Maik Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 10 https://doi.org/10.1088/1475-7516/2010/10/E01	journal	October 2010
QCD at Finite Isospin Density Son, D. T.; Stephanov, M. A. Physical Review Letters, Vol. 86, Issue 4 https://doi.org/10.1103/PhysRevLett.86.592	journal	January 2001
QCD at a Finite isospin density: From the pion to quark-antiquark condensation Son, D. T.; Stephanov, M. A. Physics of Atomic Nuclei, Vol. 64, Issue 5 https://doi.org/10.1134/1.1378872	journal	May 2001
Lattice QCD at finite isospin density at zero and finite temperature Kogut, J. B.; Sinclair, D. K. Physical Review D, Vol. 66, Issue 3 https://doi.org/10.1103/PhysRevD.66.034505	journal	August 2002
Phase Diagram, Scalar-Pseudoscalar Meson Behavior and Restoration of Symmetries in (2 + 1) Polyakov-Nambu-Jona-Lasinio Model Costa, Pedro; Pereira, Renan Symmetry, Vol. 11, Issue 4 https://doi.org/10.3390/sym11040507	journal	April 2019
Dualities in dense quark matter with isospin, chiral, and chiral isospin imbalance in the framework of the large- $N_{c}$ limit of the ${NJL}_{4}$ model Khunjua, T. G.; Klimenko, K. G.; Zhokhov, R. N. Physical Review D, Vol. 98, Issue 5 https://doi.org/10.1103/PhysRevD.98.054030	journal	September 2018
QCD phase diagram at finite baryon and isospin chemical potentials in the Polyakov loop extended quark meson model with vector interaction Ueda, H.; Nakano, T. Z.; Ohnishi, A. Physical Review D, Vol. 88, Issue 7 https://doi.org/10.1103/PhysRevD.88.074006	journal	October 2013
Fluctuations in the quark-meson model for QCD with isospin chemical potential Kamikado, Kazuhiko; Strodthoff, Nils; von Smekal, Lorenz Physics Letters B, Vol. 718, Issue 3 https://doi.org/10.1016/j.physletb.2012.11.055	journal	January 2013
Lepton asymmetry and the cosmic QCD transition Schwarz, Dominik J.; Stuke, Maik Journal of Cosmology and Astroparticle Physics, Vol. 2009, Issue 11 https://doi.org/10.1088/1475-7516/2009/11/025	journal	November 2009
Pion and kaon condensation at zero temperature in three-flavor χPT at nonzero isospin and strange chemical potentials at next-to-leading order Adhikari, Prabal; Andersen, Jens O. Journal of High Energy Physics, Vol. 2020, Issue 6 https://doi.org/10.1007/JHEP06(2020)170	journal	June 2020
Fate of pion condensation in quark matter: From the chiral limit to the physical pion mass Abuki, H.; Anglani, R.; Gatto, R. Physical Review D, Vol. 79, Issue 3 https://doi.org/10.1103/PhysRevD.79.034032	journal	February 2009
Reliability of Taylor expansions in QCD Brandt, B. B.; Endrődi, G. Physical Review D, Vol. 99, Issue 1 https://doi.org/10.1103/PhysRevD.99.014518	journal	January 2019
The strange critical endpoint and isentropic trajectories in an extended PNJL model with eight Quark interactions Pereira, Renan Câmara; Moreira, João; Costa, Pedro The European Physical Journal A, Vol. 56, Issue 8 https://doi.org/10.1140/epja/s10050-020-00223-8	journal	August 2020
Two-flavor condensates in chiral dynamics: Temperature and isospin density effects Loewe, M.; Villavicencio, C. Physical Review D, Vol. 71, Issue 9 https://doi.org/10.1103/PhysRevD.71.094001	journal	May 2005
Calculation of the QCD phase diagram at finite temperature, and baryon and isospin chemical potentials Barducci, A.; Casalbuoni, R.; Pettini, G. Physical Review D, Vol. 69, Issue 9 https://doi.org/10.1103/PhysRevD.69.096004	journal	May 2004
Thermal pions at a finite isospin chemical potential Loewe, Marcelo; Villavicencio, Cristián Physical Review D, Vol. 67, Issue 7 https://doi.org/10.1103/PhysRevD.67.074034	journal	April 2003
Hadronization in the SU(3) Nambu–Jona-Lasinio model Rehberg, P.; Klevansky, S. P.; Hüfner, J. Physical Review C, Vol. 53, Issue 1 https://doi.org/10.1103/PhysRevC.53.410	journal	January 1996
The dual properties of chiral and isospin asymmetric dense quark matter formed of two-color quarks Khunjua, T. G.; Klimenko, K. G.; Zhokhov, R. N. Journal of High Energy Physics, Vol. 2020, Issue 6 https://doi.org/10.1007/JHEP06(2020)148	journal	June 2020
Cold QCD at finite isospin density: Confronting effective models with recent lattice data Avancini, Sidney S.; Bandyopadhyay, Aritra; Duarte, Dyana C. Physical Review D, Vol. 100, Issue 11 https://doi.org/10.1103/PhysRevD.100.116002	journal	December 2019
Dynamical boson stars Liebling, Steven L.; Palenzuela, Carlos Living Reviews in Relativity, Vol. 20, Issue 1 https://doi.org/10.1007/s41114-017-0007-y	journal	November 2017
Duality between chiral symmetry breaking and charged pion condensation at large $N_{c}$ : Consideration of an ${NJL}_{2}$ model with baryon, isospin, and chiral isospin chemical potentials Ebert, D.; Khunjua, T. G.; Klimenko, K. G. Physical Review D, Vol. 94, Issue 11 https://doi.org/10.1103/PhysRevD.94.116016	journal	December 2016
Pion condensation and phase diagram in the Polyakov-loop quark-meson model Adhikari, Prabal; Andersen, Jens O.; Kneschke, Patrick Physical Review D, Vol. 98, Issue 7 https://doi.org/10.1103/PhysRevD.98.074016	journal	October 2018
Deconfinement transition at high isospin chemical potential and low temperature Cohen, Thomas D.; Sen, Srimoyee Nuclear Physics A, Vol. 942 https://doi.org/10.1016/j.nuclphysa.2015.07.018	journal	October 2015
QCD at finite isospin chemical potential Brandt, Bastian B.; Endrődi, Gergely; Schmalzbauer, Sebastian EPJ Web of Conferences, Vol. 175 https://doi.org/10.1051/epjconf/201817507020	journal	January 2018
Pion Condensation in the Early Universe at Nonvanishing Lepton Flavor Asymmetry and Its Gravitational Wave Signatures Vovchenko, Volodymyr; Brandt, Bastian B.; Cuteri, Francesca Physical Review Letters, Vol. 126, Issue 1 https://doi.org/10.1103/PhysRevLett.126.012701	journal	January 2021
Color superconductivity in dense quark matter Alford, Mark G.; Schmitt, Andreas; Rajagopal, Krishna Reviews of Modern Physics, Vol. 80, Issue 4 https://doi.org/10.1103/RevModPhys.80.1455	journal	November 2008
Three-loop hard-thermal-loop perturbation theory thermodynamics at finite temperature and finite baryonic and isospin chemical potential Andersen, Jens O.; Haque, Najmul; Mustafa, Munshi G. Physical Review D, Vol. 93, Issue 5 https://doi.org/10.1103/PhysRevD.93.054045	journal	March 2016
Extension of the Nambu–Jona-Lasinio model predictions at high densities and temperatures using an implicit regularization scheme Farias, R. L. S.; Dallabona, G.; Krein, G. Physical Review C, Vol. 77, Issue 6 https://doi.org/10.1103/PhysRevC.77.065201	journal	June 2008
Evaluating the phase diagram at finite isospin and baryon chemical potentials in the Nambu–Jona-Lasinio model Mu, Cheng-fu; He, Lian-yi; Liu, Yu-xin Physical Review D, Vol. 82, Issue 5 https://doi.org/10.1103/PhysRevD.82.056006	journal	September 2010
Dynamical Boson Stars Liebling, Steven L.; Palenzuela, Carlos Living Reviews in Relativity, Vol. 15, Issue 1 https://doi.org/10.12942/lrr-2012-6	journal	May 2012
Thermodynamics of the Polyakov-Nambu-Jona-Lasinio model with nonzero baryon and isospin chemical potentials Mukherjee, Swagato; Mustafa, Munshi G.; Ray, Rajarshi Physical Review D, Vol. 75, Issue 9 https://doi.org/10.1103/PhysRevD.75.094015	journal	May 2007
Regularization issues for a cold and dense quark matter model in $β$ equilibrium Duarte, Dyana C.; Farias, R. L. S.; Ramos, Rudnei O. Physical Review D, Vol. 99, Issue 1 https://doi.org/10.1103/PhysRevD.99.016005	journal	January 2019
Pion superfluidity and meson properties at finite isospin density He, Lianyi; Jin, Meng; Zhuang, Pengfei Physical Review D, Vol. 71, Issue 11 https://doi.org/10.1103/PhysRevD.71.116001	journal	June 2005
Scrutinizing the pion condensed phase Carignano, Stefano; Lepori, Luca; Mammarella, Andrea The European Physical Journal A, Vol. 53, Issue 2 https://doi.org/10.1140/epja/i2017-12221-x	journal	February 2017
Dualities and inhomogeneous phases in dense quark matter with chiral and isospin imbalances in the framework of effective model Khunjua, T. G.; Klimenko, K. G.; Zhokhov, R. N. Journal of High Energy Physics, Vol. 2019, Issue 6 https://doi.org/10.1007/JHEP06(2019)006	journal	June 2019
Flavor-mixing effects on the QCD phase diagram at non-vanishing isospin chemical potential: one or two phase transitions? Frank, M.; Buballa, M.; Oertel, M. Physics Letters B, Vol. 562, Issue 3-4 https://doi.org/10.1016/S0370-2693(03)00607-5	journal	June 2003
Thermodynamics of (2+1)-flavor strongly interacting matter at nonzero isospin Stiele, Rainer; Fraga, Eduardo S.; Schaffner-Bielich, Jürgen Physics Letters B, Vol. 729 https://doi.org/10.1016/j.physletb.2013.12.053	journal	February 2014
Isospin-symmetry breaking and baryon-isospin correlations from the Polyakov–Nambu–Jona-Lasinio model Bhattacharyya, Abhijit; Ghosh, Sanjay K.; Lahiri, Anirban Physical Review C, Vol. 89, Issue 6 https://doi.org/10.1103/PhysRevC.89.064905	journal	June 2014
QCD phase diagram for nonzero isospin-asymmetry Brandt, B. B.; Endrődi, G.; Schmalzbauer, S. Physical Review D, Vol. 97, Issue 5 https://doi.org/10.1103/PhysRevD.97.054514	journal	March 2018
QCD phase diagram with isospin chemical potential Brandt, Bastian; Endrodi, Gergely Proceedings of 34th annual International Symposium on Lattice Field Theory — PoS(LATTICE2016) https://doi.org/10.22323/1.256.0039	conference	March 2017
Boson Stars: Gravitational Equilibria of Self-Interacting Scalar Fields Colpi, Monica; Shapiro, Stuart L.; Wasserman, Ira Physical Review Letters, Vol. 57, Issue 20 https://doi.org/10.1103/PhysRevLett.57.2485	journal	November 1986
The phase diagram of dense QCD Fukushima, Kenji; Hatsuda, Tetsuo Reports on Progress in Physics, Vol. 74, Issue 1 https://doi.org/10.1088/0034-4885/74/1/014001	journal	December 2010
New class of compact stars: Pion stars Brandt, B. B.; Endrődi, G.; Fraga, E. S. Physical Review D, Vol. 98, Issue 9 https://doi.org/10.1103/PhysRevD.98.094510	journal	November 2018
Pion condensation in a two-flavour NJL model: the role of charge neutrality Andersen, J. O.; Kyllingstad, L. T. Journal of Physics G: Nuclear and Particle Physics, Vol. 37, Issue 1 https://doi.org/10.1088/0954-3899/37/1/015003	journal	November 2009
Phase diagram of dynamical twisted-mass Wilson fermions at finite isospin chemical potential Janssen, Oliver; Kieburg, Mario; Splittorff, K. Physical Review D, Vol. 93, Issue 9 https://doi.org/10.1103/PhysRevD.93.094502	journal	May 2016
Pion condensation in baryonic matter: From Sarma phase to Larkin-Ovchinnikov-Fudde-Ferrell phase He, Lianyi; Jin, Meng; Zhuang, Pengfei Physical Review D, Vol. 74, Issue 3 https://doi.org/10.1103/PhysRevD.74.036005	journal	August 2006
Parameter fitting in three-flavor Nambu–Jona-Lasinio model with various regularizations Kohyama, H.; Kimura, D.; Inagaki, T. Nuclear Physics B, Vol. 906 https://doi.org/10.1016/j.nuclphysb.2016.03.015	journal	May 2016
Three-flavor Nambu–Jona-Lasinio model at finite isospin chemical potential Xia, Tao; He, Lianyi; Zhuang, Pengfei Physical Review D, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevD.88.056013	journal	September 2013
Klein-Gordon Geon Kaup, David J. Physical Review, Vol. 172, Issue 5 https://doi.org/10.1103/PhysRev.172.1331	journal	August 1968
Pion condensation in a dense neutrino gas Abuki, Hiroaki; Brauner, Tomáš; Warringa, Harmen J. The European Physical Journal C, Vol. 64, Issue 1 https://doi.org/10.1140/epjc/s10052-009-1121-0	journal	August 2009
QCD phenomenology based on a chiral effective Lagrangian Hatsuda, Tetsuo; Kunihiro, Teiji Physics Reports, Vol. 247, Issue 5-6 https://doi.org/10.1016/0370-1573(94)90022-1	journal	October 1994
Lattice QCD at Finite Density: An Introductory Review Muroya, S.; Nakamura, A.; Nonaka, C. Progress of Theoretical Physics, Vol. 110, Issue 4 https://doi.org/10.1143/PTP.110.615	journal	October 2003
Isospin chemical potential and the QCD phase diagram at nonzero temperature and baryon chemical potential Toublan, D.; Kogut, J. B. Physics Letters B, Vol. 564, Issue 3-4 https://doi.org/10.1016/S0370-2693(03)00701-9	journal	July 2003
Quark mass and isospin dependence of the deconfining critical temperature Fraga, E. S.; Palhares, L. F.; Villavicencio, C. Physical Review D, Vol. 79, Issue 1 https://doi.org/10.1103/PhysRevD.79.014021	journal	January 2009
Geons Wheeler, John Archibald Physical Review, Vol. 97, Issue 2 https://doi.org/10.1103/PhysRev.97.511	journal	January 1955
Thermodynamics and susceptibilities of isospin imbalanced QCD matter Lu, Zhen-Yan; Xia, Cheng-Jun; Ruggieri, Marco The European Physical Journal C, Vol. 80, Issue 1 https://doi.org/10.1140/epjc/s10052-020-7614-6	journal	January 2020
BEC-BCS crossover in the Nambu-Jona-Lasinio model of QCD Sun, Gaofeng; He, Lianyi; Zhuang, Pengfei Physical Review D, Vol. 75, Issue 9 https://doi.org/10.1103/PhysRevD.75.096004	journal	May 2007
The Nambu—Jona-Lasinio model of quantum chromodynamics Klevansky, S. P. Reviews of Modern Physics, Vol. 64, Issue 3 https://doi.org/10.1103/RevModPhys.64.649	journal	July 1992
Perturbative thermodynamics at nonzero isospin density for cold QCD Graf, Thorben; Schaffner-Bielich, Juergen; Fraga, Eduardo S. Physical Review D, Vol. 93, Issue 8 https://doi.org/10.1103/PhysRevD.93.085030	journal	April 2016

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Title: Hot QCD at finite isospin density: Confronting the SU(3) Nambu–Jona-Lasinio model with recent lattice data

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