QCD Crossover at Finite Chemical Potential from Lattice Simulations

Borsányi, Szabolcs; Fodor, Z.; Guenther, Jana N.; Kara, Ruben; Katz, Sándor D.; Parotto, Paolo; Pásztor, Attila; Ratti, Claudia; Szabó, Kornélia

doi:10.1103/physrevlett.125.052001

Cited by 289 publications

(263 citation statements)

References 51 publications

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“…For a comparison of the curvature at small baryon-chemical potential see Table I. Other theoretical results: fRG for QCD with dynamical hadronization [23] (Fu et al), lattice QCD with analytic continuation from imaginary chemical potential [57] (WB), lattice QCD with Taylor expansion at vanishing chemical potential [54] (HotQCD), DSE approach with backcoupled quarks and a dressed vertex [30] (Fischer et al), and DSE calculations with a gluon model [32] the current-quark masses; see Sec. III.…”

Section: Discussionmentioning

confidence: 99%

“…fRG-DSE: this work 0.0179(8) 0.0150(7) fRG: [23] 0.0176(1) 0.0142(2) Lattice: [57] Á Á Á 0.0153(18) Lattice: [52] Á Á Á 0.0144(26) Lattice: [54] Á Á Á 0.015(4) DSE: [32] Á Á Á 0.038 DSE: [9,30,89] 0.0456 0.0238 fRG: [25] 0.0051 Á Á Á Lattice: [85] 0.0078(39) Á Á Á Lattice: [86] 0.0056(6) Á Á Á the present STI-construction of the vertex. Based on this analysis and the results in [23] on nontrivial momentum dependencies for μ B =T ≳ 3 we conclude that the present approximation has to be upgraded towards solving the DSE for ΔΓ ð3Þ qqA in this regime.…”

Section: Curvature κmentioning

confidence: 95%

“…These correlation functions carry the full information about confinement and chiral symmetry breaking, and their quantitative computation within functional methods has been the subject of many works in the past two decades; for fRG works see e.g., [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26] and for DSE works see e.g., [8,9,[27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44]. For related lattice studies see e.g., [45][46][47][48][49][50][51][52][53][54][55][56][57].…”

Section: Introductionmentioning

confidence: 99%

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QCD phase structure from functional methods

2020

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We discuss the QCD phase structure at finite temperature and chemical potential for 2-flavor and 2 þ 1flavor QCD. The results are achieved by computing QCD correlation functions within a generalized functional approach that combines Dyson-Schwinger equations (DSE) and the functional renormalization group (fRG). In this setup fRG precision data from [A. K. Cyrol, M. Mitter, J. M. Pawlowski, and N. Strodthoff, Phys. Rev. D 97, 054006 (2018).] for the vacuum quark-gluon vertex and gluon propagator of 2-flavor QCD used as input, and the respective DSEs are expanded about this input. While the vacuum results for other correlation functions serve as a self-consistency check for functional approaches, the results at finite temperature and density are computed, for the first time, without the need of phenomenological infrared parameters.

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Section: Discussionmentioning

confidence: 99%

Section: Curvature κmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

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QCD phase structure from functional methods

2020

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“…The direct study of the phase diagram is not possible due to the sign problem; however, several extrapolation methods are available including the analytic continuation from imaginary chemical potential [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22], the Taylor expansion method [23][24][25][26][27][28][29][30][31][32][33][34], and the reweighting method [35][36][37][38][39][40]. All of these methods are based on the fact that the sign problem is absent at μ ¼ 0 or at purely imaginary chemical potential.…”

Section: Introductionmentioning

confidence: 99%

Effect of stout smearing on the phase diagram from multiparameter reweighting in lattice QCD

et al. 2020

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The phase diagram and the location of the critical endpoint (CEP) of lattice QCD with unimproved staggered fermions on a Nt = 4 lattice was determined fifteen years ago with the multiparameter reweighting method by studying Fisher zeros. We first reproduce the old result with an exact algorithm (not known at the time) and with statistics larger by an order of magnitude. As an extension of the old analysis we introduce stout smearing in the fermion action in order to reduce the finite lattice spacing effects. First we show that increasing the smearing parameter ρ the crossover at µ = 0 gets weaker, i.e., the leading Fisher zero gets farther away from the real axis. Furthermore as the chemical potential is increased the overlap problem gets severe sooner than in the unimproved case, therefore shrinking the range of applicability of the method. Nevertheless certain qualitative features remain, even after introducing the smearing. Namely, at small chemical potentials the Fisher zeros first get farther away from the real axis and later at around aµq = 0.1 − 0.15 they start to get closer, i.e., the crossover first gets weaker and later stronger as a function of µ. However, because of the more severe overlap problem the CEP is out of reach with the smeared action.

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“…In order to investigate the transition line in QCD, one has to circumvent the sign problem in some way. Previous studies used the reweighting method [4][5][6], the Taylor expansion from μ ¼ 0 [7][8][9][10][11][12] or analytic continuation from μ ≤ 0 [13][14][15][16]. These methods deliver solid results for quark chemical potentials up to μ q =T ≃ 1.…”

Section: Introductionmentioning

confidence: 99%

Deconfinement transition line with the complex Langevin equation up to μ/T∼5

2020

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We study the deconfinement transition line in QCD for quark chemical potentials up to μ q ∼ 5 T (μ B ∼ 15 T). To circumvent the sign problem we use the complex Langevin equation with gauge cooling. The plaquette gauge action is used with two flavors of naive Wilson fermions at a relatively heavy pion mass of roughly 1.3 GeV. A quadratic dependence describes the transition line well on the whole chemical potential range.

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QCD Crossover at Finite Chemical Potential from Lattice Simulations

Cited by 289 publications

References 51 publications

QCD phase structure from functional methods

QCD phase structure from functional methods

Effect of stout smearing on the phase diagram from multiparameter reweighting in lattice QCD

Deconfinement transition line with the complex Langevin equation up to μ/T∼5

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