Chiral Phase Transition Temperature in (
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)-Flavor QCD

Ding, Heng-Tong; Hegde, Prasad; Kaczmarek, Olaf; Karsch, Frithjof; Lahiri, Anirban; Li, S. T.; Mukherjee, Swagato; Ohno, Hiroshi; Petreczky, Péter; Schmidt, Christian; Steinbrecher, Patrick

doi:10.1103/physrevlett.123.062002

Cited by 206 publications

(252 citation statements)

References 32 publications

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“…Our present value of T c (0) also is compatible with the chiral pseudo-critical temperatures reported by other groups [35,36]. It is pertinent to note that all our calculations were carried out within a finite-size box of about 5 fm 3 in the vicinity of T c (0); finite-size corrections might increase the value of T c (0) by an amount commensurate to our present error on that quantity [37]. κ B 2 determined in the present work is about a factor 2 larger than that reported previously in Ref.…”

Section: Discussion and Summarysupporting

confidence: 91%

Chiral crossover in QCD at zero and non-zero chemical potentials

Bazavov¹,

Ding²,

Hegde³

et al. 2019

Physics Letters B

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We present results for pseudo-critical temperatures of QCD chiral crossovers at zero and non-zero values of baryon (B), strangeness (S), electric charge (Q), and isospin (I) chemical potentials µ X=B,Q,S,I . The results were obtained using lattice QCD calculations carried out with two degenerate up and down dynamical quarks and a dynamical strange quark, with quark masses corresponding to physical values of pion and kaon masses in the continuum limit. By parameterizing pseudo-critical temperatures as (0)) 4 , we determined κ X 2 and κ X 4 from Taylor expansions of chiral observables in µ X . We obtained a precise result for T c (0) = (156.5 ± 1.5) MeV. For analogous thermal conditions at the chemical freeze-out of relativistic heavy-ion collisions, i.e., µ S (T, µ B ) and µ Q (T, µ B ) fixed from strangeness-neutrality and isospin-imbalance, we found κ B 2 =0.012(4) and κ B 4 =0.000(4). For µ B 300 MeV, the chemical freeze-out takes place in the vicinity of the QCD phase boundary, which coincides with the lines of constant energy density of 0.42(6) GeV/fm 3 and constant entropy density of 3.7(5) fm −3 .

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Section: Discussion and Summarysupporting

confidence: 91%

Chiral crossover in QCD at zero and non-zero chemical potentials

Bazavov¹,

Ding²,

Hegde³

et al. 2019

Physics Letters B

Self Cite

507

436

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“…T χ /T pc (132 +3 −6 MeV )/(156.5±1.5 MeV ) [47]. In the random matrix model this correspond to a quark mass m q 10 MeV.…”

Section: Refinementsmentioning

confidence: 97%

Critical behavior of the bulk viscosity in QCD

2019

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We study the behavior of the bulk viscosity ζ in QCD near a possible critical endpoint in the phase diagram. We verify the expectation that (ζ/s) ∼ a(ξ/ξ 0 ) x ζ , where s is the entropy density, ξ is the correlation length, ξ 0 is the non-critical correlation length, a is a constant and x ζ 3. Using a recently developed equation of state that includes a critical point in the universality class of the Ising model we estimate the constant of proportionality a. We find that a is typically quite small, a ∼ O(10 −4 ). We observe, however, that the result is sensitive to the commonly made assumption that the Ising temperature axis is approximately aligned with the QCD chemical potential axis. If this is not the case, then the critical ζ/s can approach the non-critical value of η/s, where η is the shear viscosity, even if the enhancement of the correlation length is modest, ξ/ξ 0 ∼ 2.

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“…The only free parameter in our study is the value of the running gauge coupling g s at the initial RG scale Λ. This value is adjusted at the UV scale Λ = 10 GeV to obtain a critical temperature T cr (µ = 0) ≡ T 0 = 132 MeV at zero quark chemical potential, being the value of the chiral phase transition temperature at µ = 0 found in very recent lattice QCD studies [79]. 3 In Sec.…”

Section: Scale-fixing Proceduresmentioning

confidence: 99%

“…Let us now study the phase diagram in the plane spanned by the temperature and the quark chemical po- 3 The lattice QCD study presented in Ref. [79] considering two degenerate massless quarks and a physical strange quark mass finds the chiral phase transition Tcr = 132 +3 −6 MeV at zero quark chemical potential. The red line has been obtained by employing a strong coupling with two massless quark flavors.…”

Section: A Symmetry Breaking Patternsmentioning

confidence: 99%

Fierz-complete NJL model study. III. Emergence from quark-gluon dynamics

2020

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Our understanding of the dynamics and the phase structure of dense strong-interaction matter is to a large extent still built on the analysis of low-energy models, such as those of the Nambu-Jona-Lasinio-type. In this work, we analyze the emergence of the latter class of models at intermediate and low energy scales from fundamental quark-gluon interactions. To this end, we study the renormalization group flow of a Fierz-complete set of four-quark interactions and monitor their strength at finite temperature and quark chemical potential. At small quark chemical potential, we find that the scalar-pseudoscalar interaction channel is dynamically rendered most dominant by the gauge degrees of freedom, indicating the formation of a chiral condensate. Moreover, the inclusion of quark-gluon interactions leaves a significant imprint on the dynamics as measured by the curvature of the finite-temperature phase boundary which we find to be in accordance with lattice QCD results. At large quark chemical potential, we then observe that the dominance pattern of the fourquark couplings is changed by the underlying quark-gluon dynamics, without any fine-tuning of the four-quark couplings. In this regime, the scalar-pseudoscalar interaction channel becomes subleading and the dominance pattern suggests the formation of a chirally symmetric diquark condensate. In particular, our study confirms the importance of explicit UA(1) breaking for the formation of this type of condensate at high densities.

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Chiral Phase Transition Temperature in ( 2+1 )-Flavor QCD

Cited by 206 publications

References 32 publications

Chiral crossover in QCD at zero and non-zero chemical potentials

Chiral crossover in QCD at zero and non-zero chemical potentials

Critical behavior of the bulk viscosity in QCD

Fierz-complete NJL model study. III. Emergence from quark-gluon dynamics

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