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We determine the curvature of the pseudo-critical line of $N_f = 2 + 1$ QCD with physical quark masses via Taylor expansion in the quark chemical potentials. We adopt a discretization based on stout improved staggered fermions and the tree…

High Energy Physics - Lattice · Physics 2018-09-26 Claudio Bonati , Massimo D'Elia , Francesco Negro , Francesco Sanfilippo , Kevin Zambello

We investigate the quality of the extrapolation procedure employed in Ref. [1] to extract the crossover line at real chemical potential from lattice data at imaginary potential. To this end we employ a functional approach that does not…

High Energy Physics - Phenomenology · Physics 2024-01-15 Julian Bernhardt , Christian S. Fischer

Convergence properties of Taylor expansions of observables, which are also used in lattice QCD calculations at non-zero chemical potential, are analyzed in an effective N_f = 2+1 flavor Polyakov-quark-meson model. A recently developed…

High Energy Physics - Phenomenology · Physics 2011-03-29 Frithjof Karsch , Bernd-Jochen Schaefer , Mathias Wagner , Jochen Wambach

We study QCD with 2+1 flavors at nonzero temperature and nonzero chemical potential. We present preliminary results obtained from lattice calculations performed with an improved staggered fermions action (p4-action) on lattice with temporal…

High Energy Physics - Lattice · Physics 2010-12-22 Rossella Falcone , Edwin Laermann , Maria Paola Lombardo

A general introduction into the subject aimed at a general theoretical physics audience. We introduce the sign problem posed by finite density lattice QCD, and we discuss the main methods proposed to circumvent it, with emphasis on the…

High Energy Physics - Lattice · Physics 2008-11-26 M. P. Lombardo

I describe the results for the critical line and the thermodynamics of different phases of QCD which have been obtained by lattice simulations with an imaginary chemical potential, and review motivations and merits of the different…

High Energy Physics - Lattice · Physics 2008-11-26 M. P. Lombardo

The HotQCD Collaboration performed Taylor expansion calculations in 2017 for the pressure, energy density, and entropy density at non-zero chemical potentials up to the $6^{th}$ order. Since then, they have significantly improved the…

High Energy Physics - Lattice · Physics 2022-12-27 Jishnu Goswami

We present a determination of the curvature $\kappa$ of the chiral pseudocritical line from $N_f=2+1$ lattice QCD at the physical point obtained by adopting the Taylor expansion approach. Numerical simulations performed at three lattice…

High Energy Physics - Lattice · Physics 2019-02-20 Claudio Bonati , Massimo D'Elia , Francesco Negro , Francesco Sanfilippo , Kevin Zambello

We determine the equation of state of QCD at finite chemical potential, to order $(\mu_B/T)^6$, for a system of 2+1 quark flavors. The simulations are performed at the physical mass for the light and strange quarks on several lattice…

High Energy Physics - Lattice · Physics 2018-03-14 J. Gunther , R. Bellwied , S. Borsanyi , Z. Fodor , S. D. Katz , A. Pasztor , C. Ratti

We perform two flavor QCD simulations with an imaginary chemical potential and measure derivatives of the pressure up to 4th order as a function of the imaginary chemical potential and the temperature $T \in [0.83 T_c, 2 T_c]$. For…

High Energy Physics - Lattice · Physics 2010-02-05 Tetsuya Takaishi , Philippe de Forcrand , Atsushi Nakamura

We analyze general convergence properties of the Taylor expansion of observables to finite chemical potential in the framework of an effective 2+1 flavor Polyakov-quark-meson model. To compute the required higher order coefficients a novel…

High Energy Physics - Lattice · Physics 2011-11-29 Frithjof Karsch , Bernd-Jochen Schaefer , Mathias Wagner , Jochen Wambach

We present results on the QCD phase diagram for mu_B <= pi T. Our simulations are performed with an imaginary chemical potential mu_I for which the fermion determinant is positive. On an 8^3 x 4 lattice with 2 flavors of staggered quarks,…

High Energy Physics - Lattice · Physics 2010-04-05 Ph. de Forcrand , O. Philipsen

We present results on the QCD phase diagram for small densities without reweighting. Our simulations are performed with an imaginary chemical potential mu_I for which the fermion determinant is positive. On an 8^3x4 lattice with 2 flavors…

High Energy Physics - Lattice · Physics 2009-11-07 P. de Forcrand , O. Philipsen

Taylor expansion of the equation of state of QCD suffers from shortcomings at chemical potentials $\mu_B \geq (2-2.5)T$. First, one faces difficulties inherent in performing such an expansion with a limited number of coefficients; second,…

High Energy Physics - Lattice · Physics 2021-06-16 S. Borsanyi , Z. Fodor , J. N. Guenther , R. Kara , S. D. Katz , P. Parotto , A. Pasztor , C. Ratti , K. K. Szabo

We determine the curvature of the pseudo-critical line of strong interactions by means of numerical simulations at imaginary chemical potentials. We consider $N_f=2+1$ stout improved staggered fermions with physical quark masses and the…

High Energy Physics - Lattice · Physics 2015-06-23 Claudio Bonati , Massimo D'Elia , Marco Mariti , Michele Mesiti , Francesco Negro , Francesco Sanfilippo

We determine the (pseudo)critical lines of QCD with two degenerate staggered fermions at nonzero temperature and quark or isospin density, in the region of imaginary chemical potentials; analytic continuation is then used to prolongate to…

High Energy Physics - Lattice · Physics 2013-05-30 P. Cea , L. Cosmai , M. D'Elia , A. Papa , F. Sanfilippo

We exploit analytic continuation to prolongate to the region of real chemical potentials the (pseudo)critical lines of QCD with two degenerate staggered fermions at nonzero temperature and quark or isospin density obtained in the region of…

High Energy Physics - Lattice · Physics 2012-10-25 P. Cea , L. Cosmai , M. D'Elia , A. Papa , F. Sanfilippo

We discuss the phase structure and the equation of state for QCD at non-zero temperature and density. Derivatives of $\ln Z$ with respect to quark chemical potential $\mu_q$ up to fourth order are calculated for 2-flavor QCD, enabling…

High Energy Physics - Lattice · Physics 2008-11-26 Shinji Ejiri , Chris R. Allton , Simon J. Hands , Olaf Kaczmarek , Frithjof Karsch , Edwin Laermann , Christian Schmidt

We study four flavor QCD at nonzero temperature and density by analytic continuation from an imaginary chemical potential. The explored region is T = 0.95 T_c < T < 3.5 T_c, and the baryochemical potentials range from 0 to approx. 500 MeV.…

High Energy Physics - Lattice · Physics 2011-09-29 Massimo D'Elia , Maria Paola Lombardo

Series expansions in the chemical potential mu are studied for an effective theory of QCD which has a flux representation where the complex action is overcome. In particular we consider fugacity series, Taylor expansion and a modified…

High Energy Physics - Lattice · Physics 2016-12-21 Eva Grünwald , Ydalia Delgado Mercado , Christof Gattringer
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