Lattice QCD at nonzero temperature and density

Ding, Heng-Tong

doi:10.22323/1.256.0022

Cited by 18 publications

(14 citation statements)

References 143 publications

(240 reference statements)

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“…Despite a number of proposals for methods to potentially overcome this problem and to enable direct simulations in this regime (for reviews see Ref. [3][4][5], for instance) there is currently no method which can provide reliable results in the interesting region with T T pc at physical quark masses. Here T pc is the crossover, or pseudo-critical, temperature associated with effective chiral symmetry restoration.…”

Section: Introductionmentioning

confidence: 99%

Reliability of Taylor expansions in QCD

Brandt

Endrődi

2019

Phys. Rev. D

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We investigate the reliability of the Taylor expansion method in QCD with isospin chemical potentials using lattice simulations. By comparing the expansion of the number density to direct results, the range of validity of the leading-and next-to-leading order expansions is determined. We also elaborate on the convergence properties of the Taylor series by comparing the leading estimate for the radius of convergence to the position of the nearest singularity, i.e. the onset of pion condensation. Our results provide a handle for quantifying the uncertainties of Taylor expansions in baryon chemical potentials.

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Section: Introductionmentioning

confidence: 99%

Reliability of Taylor expansions in QCD

Brandt

Endrődi

2019

Phys. Rev. D

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“…A pictorial representation is often given as the Columbia plot [1][2][3] whose axes are usually taken to be the up-down and strange quark masses. See reviews [4,5] for a current status of the QCD phase structure with the finite temperature and quark number density. In this paper we restrict ourselves to the case of zero quark number density.…”

Section: Introductionmentioning

confidence: 99%

Critical point phase transition for finite temperature 3-flavor QCD with nonperturbatively O(a) improved Wilson fermions at Nt
Jin
¹
,
Kuramashi
²
,
Nakamura
³

et al. 2017
Phys. Rev. D
32
4
32
0
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We study the finite temperature phase structure for three-flavor QCD with a focus on locating the critical point which separates crossover and first order phase transition region in the chiral regime of the Columbia plot. In this study, we employ the Iwasaki gauge action and the non-perturvatively O(a) improved Wilson-Clover fermion action. We discuss the finite size scaling analysis including the mixing of magnetization-like and energy-like observables. We carry out the continuum extrapolation of the critical point using newly generated data at Nt = 8, 10 and estimate the upper bound of the critical pseudo-scalar meson mass mPS,E 170MeV and the critical temperature TE = 134(3)MeV. Our estimate of the upper bound is derived from the existence of the critical point as an edge of the 1st order phase transition while that of the staggered-type fermions is based on its absence.

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“…Many efforts have been made on going beyond mean field approximation for QCD phase transition, e.g., from lattice QCD (LQCD)simulations [23][24][25][26][27], functional renormalization group(FRG) [30,31], Dyson-Schwinger equations(DSEs) [28,29], ǫ expansion [1,32] and so on. Despite of the possibilities of first order transition in two-flavor chiral limit due to U A (1) restoration [33][34][35][36], it is summarized that when m u/d = 0 and m s is sufficiently large(the solid blue line in Fig.1), the second order line belongs to O(4) class, with β ≈ 0.385, δ ≈ 4.824 [37][38][39]; while when m u,d,s is not very large(the solid red line in the lower-left corner) it belongs to Z(2) classes, with β ≈ 0.327, δ ≈ 4.789 [40][41][42]. Between the Z(2) and O(4) segments, there might be a tri-critical point.…”

mentioning

confidence: 97%

Critical exponents of finite temperature chiral phase transition in soft-wall AdS/QCD models

Chen

Huang

et al. 2019

J. High Energ. Phys.

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Criticality of chiral phase transition at finite temperature is investigated in a soft-wall AdS/QCD model with SU L (N f ) × SU R (N f ) symmetry, especially for N f = 2, 3 and N f = 2 + 1. It is shown that in quark mass plane(m u/d − m s ) chiral phase transition is second order at a certain critical line, by which the whole plane is divided into first order and crossover regions. The critical exponents β and δ, describing critical behavior of chiral condensate along temperature axis and light quark mass axis, are extracted both numerically and analytically. The model gives the critical exponents of the values β = 1 2 , δ = 3 and β = 1 3 , δ = 3 for N f = 2 and N f = 3 respectively. For N f = 2 + 1, in small strange quark mass(m s ) region, the phase transitions for strange quark and u/d quarks are strongly coupled, and the critical exponents are β = 1 3 , δ = 3; when m s is larger than m s,t = 0.290GeV, the dynamics of light flavors(u, d) and strange quarks decoupled and the critical exponents forūu anddd becomes β = 1 2 , δ = 3, exactly the same as N f = 2 result and the mean field result of 3D Ising model; between the two segments, there is a tri-critical point at m s,t = 0.290GeV, at which β = 0.250, δ = 4.975. In some sense, the current results is still at mean field level, and we also showed the possibility to go beyond mean field approximation by including the higher power of scalar potential and the temperature dependence of dilaton field, which might be reasonable in a full back-reaction model. The current study might also provide reasonable constraints on constructing a realistic holographic QCD model, which could describe both chiral dynamics and gluedynamics correctly.

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Lattice QCD at nonzero temperature and density

Abstract: In this talk I review the current status of lattice QCD calculations at nonzero temperature and density. I focus on the QCD phase structure and bulk QCD thermodynamics at zero and nonzero chemical potentials.

Cited by 18 publications

References 143 publications

Reliability of Taylor expansions in QCD

Reliability of Taylor expansions in QCD

Critical point phase transition for finite temperature 3-flavor QCD with nonperturbatively O(a) improved Wilson fermions at Nt
Jin
¹
,
Kuramashi
²
,
Nakamura
³

et al. 2017
Phys. Rev. D
32
4
32
0
View full text Add to dashboard Cite

Critical exponents of finite temperature chiral phase transition in soft-wall AdS/QCD models

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Lattice QCD at nonzero temperature and density

Abstract: In this talk I review the current status of lattice QCD calculations at nonzero temperature and density. I focus on the QCD phase structure and bulk QCD thermodynamics at zero and nonzero chemical potentials.

Cited by 18 publications

References 143 publications

Reliability of Taylor expansions in QCD

Reliability of Taylor expansions in QCD

Critical point phase transition for finite temperature 3-flavor QCD with nonperturbatively O(a) improved Wilson fermions at NtJin1, Kuramashi2, Nakamura3 et al. 2017Phys. Rev. D324320View full textAdd to dashboardCite

Critical exponents of finite temperature chiral phase transition in soft-wall AdS/QCD models

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Critical point phase transition for finite temperature 3-flavor QCD with nonperturbatively O(a) improved Wilson fermions at Nt
Jin
¹
,
Kuramashi
²
,
Nakamura
³

et al. 2017
Phys. Rev. D
32
4
32
0
View full text Add to dashboard Cite