Generalized quark number susceptibilities from fugacity expansion at finite chemical potential for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math>Wilson fermions

Gattringer, Christof; Schadler, Hans-Peter

doi:10.1103/physrevd.91.074511

Cited by 17 publications

(11 citation statements)

References 31 publications

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“…This was pointed out in [30], where the different strangeness sectors of the theory were separated, and later used to constrain the hadronic spectrum in the context of the ideal HRG model. Note that the fugacity expansion of the logarithm of the partition function, log Z, employed in the present work, is quite different from the fugacity expansion of the fermion determinant, which corresponds to the fugacity expansion of Z and which had also been used in some lattice studies [56,57]. Strong finite volume scaling effects in the fugacity expansion of log Z are not expected, in contrast to the fugacity expansion of Z.…”

Section: Lattice Methodsmentioning

confidence: 81%

Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential

et al. 2017

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The first principle lattice QCD methods allow to calculate the thermodynamic observables at finite temperature and imaginary chemical potential. These can be compared to the predictions of various phenomenological models. We argue that Fourier coefficients with respect to imaginary baryochemical potential are sensitive to modeling of baryonic interactions. As a first application of this sensitivity, we consider the hadron resonance gas (HRG) model with repulsive baryonic interactions, which are modeled by means of the excluded volume correction. The Fourier coefficients of the imaginary part of the net-baryon density at imaginary baryochemical potentialcorresponding to the fugacity or virial expansion at real chemical potential -are calculated within this model, and compared with the Nt = 12 lattice data. The lattice QCD behavior of the first four Fourier coefficients up to T 185 MeV is described fairly well by an interacting HRG with a single baryon-baryon eigenvolume interaction parameter b 1 fm 3 , while the available lattice data on the difference χ B 2 − χ B 4 of baryon number susceptibilities is reproduced up to T 175 MeV.

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Section: Lattice Methodsmentioning

confidence: 81%

Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential

et al. 2017

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“…Notice that Roberge-Weiss symmetry [50] imposes that only coefficients of order 3n can be nonzero. The canonical partition functions are usually obtained as the coefficients of a Fourier expansion of the grandcanonical partition function at imaginary chemical potential [31,[51][52][53][54][55][56][57][58][59][60][61][62][63][64][65]. Our direct determination from the eigenvalues of P is free from the systematic uncertainty associated with the extraction of Fourier coefficients from a discrete set of imaginary chemical potentials.…”

Section: A Generalitiesmentioning

confidence: 99%

Radius of convergence in lattice QCD at finite μB with rooted staggered fermions

et al. 2020

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In typical statistical mechanical systems the grand canonical partition function at finite volume is proportional to a polynomial of the fugacity e µ T . The zero of this Lee-Yang polynomial closest to the origin determines the radius of convergence of the Taylor expansion of the pressure around µ = 0. The computationally cheapest formulation of lattice QCD, rooted staggered fermions, with the usual definition of the rooted determinant, does not admit such a Lee-Yang polynomial. We show that the radius of convergence is then bounded by the spectral gap of the reduced matrix of the unrooted staggered operator. We suggest a new definition of the rooted staggered determinant at finite chemical potential that allows for a definition of a Lee-Yang polynomial, and therefore of the numerical study of Lee-Yang zeros. We also describe an algorithm to determine the Lee-Yang zeros and apply it to configurations generated with the 2-stout improved staggered action at Nt = 4. We perform a finite volume scaling study of the leading Lee-Yang zeros and estimate the radius of convergence of the Taylor expansion extrapolated to an infinite volume. We show that the limiting singularity is not on the real line, thus giving a lower bound on the location of any possible phase transitions at this lattice spacing. In the vicinity of the crossover temperature at zero chemical potential, the radius of convergence turns out to be at µ B T ≈ 2 and roughly temperature independent.

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“…where ξ q = e µq/T is the quark fugacity. The canonical approach has been used in several analyses to reveal the QCD phase diagram [5][6][7][8][9][10][11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Lee-Yang zeros in lattice QCD for searching phase transition points

et al. 2019

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We report Lee-Yang zeros behavior at finite temperature and density. The quark number densities, n , are calculated at the pure imaginary chemical potential iµ qI , where no sign problem occurs. Then, the canonical partition functions, Z C (n, T, V ), up to some maximal values of n are estimated through fitting theoretically motivated functions to n , which are used to compute the Lee-Yang zeros. We study the temperature dependence of the distributions of the Lee-Yang zeros around the pseudo-critical temperature region T /T c = 0.84 -1.35.In the distributions of the Lee-Yang zeros, we observe the Roberge-Weiss phase transition at T /T c ≥ 1.20. We discuss the dependence of the behaviors of Lee-Yang zeros on the maximal value of n, so that we can estimate a reliable infinite volume limit.

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Generalized quark number susceptibilities from fugacity expansion at finite chemical potential forNf=2Wilson fermions

Cited by 17 publications

References 31 publications

Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential

Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential

Radius of convergence in lattice QCD at finite μB with rooted staggered fermions

Lee-Yang zeros in lattice QCD for searching phase transition points

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