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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 provide the first lattice-QCD estimate of the crossover line down to $T\simeq108$~MeV. We introduce a new method that combines the Lee-Yang edge in the complex plane of baryon chemical potential $\mu_B$ with universal chiral scaling to…

High Energy Physics - Lattice · Physics 2026-03-18 D. A. Clarke , H. -T. Ding , J. -B. Gu , S. -T. Li , Swagato Mukherjee , P. Petreczky , C. Schmidt , H. -T. Shu , K. -F. Ye

We evaluate quark number densities at imaginary chemical potential by lattice QCD with clover-improved two-flavor Wilson fermion. The quark number densities are extrapolated to the small real chemical potential region by assuming some…

High Energy Physics - Lattice · Physics 2014-10-31 Junichi Takahashi , Junpei Sugano , Masahiro Ishii , Hiroaki Kouno , Masanobu Yahiro

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

State-of-the-art lattice QCD studies of hot and dense strongly interacting matter currently rely on extrapolation from zero or imaginary chemical potentials. The ill-posedness of numerical analytic continuation puts severe limitations on…

High Energy Physics - Lattice · Physics 2022-04-06 Szabolcs Borsanyi , Zoltan Fodor , Matteo Giordano , Sandor D. Katz , Daniel Nogradi , Attila Pasztor , Chik Him Wong

In this Letter we employ lattice simulations to search for the critical point of quantum chromodynamics (QCD). We search for the onset of a first order QCD transition on the phase diagram by following contours of constant entropy density…

We perform a numerical study of the systematic effects involved in the determination of the critical line at real baryonic chemical potential by analytic continuation from results obtained at imaginary chemical potentials. We present…

High Energy Physics - Lattice · Physics 2009-10-12 Paolo Cea , Leonardo Cosmai , Massimo D'Elia , Chiara Manneschi , Alessandro Papa

We discuss the imaginary chemical potential approach to the study of QCD at nonzero temperature and density, present results for the four flavor model in the different phases and show that this method is ideally suited for a comparison…

High Energy Physics - Lattice · Physics 2009-11-10 Massimo D'Elia , Maria-Paola Lombardo

We investigate the phase diagram in the temperature, imaginary chemical potential plane for QCD with three degenerate quark flavors using Wilson type fermions. While more expensive than the staggered fermions used in past studies in this…

High Energy Physics - Lattice · Physics 2013-12-05 Andrei Alexandru , Anyi Li

The order of the thermal chiral phase transition in lattice QCD is known to be strongly cutoff-dependent. A previous study using $N_\mathrm{f}\in[2,6]$ mass-degenerate, unimproved staggered quark flavours on $N_\tau\in\{4,6,8\}$ lattices…

High Energy Physics - Lattice · Physics 2025-12-18 Alfredo D'Ambrosio , Michael Fromm , Reinhold Kaiser , Owe Philipsen

We extract the imaginary part of the heavy-quark potential using classical-statistical simulations of real-time Yang-Mills dynamics in classical thermal equilibrium. The $r$-dependence of the imaginary part of the potential is extracted by…

High Energy Physics - Phenomenology · Physics 2021-10-26 Kirill Boguslavski , Babak S. Kasmaei , Michael Strickland

We propose a method to probe the nature of phase transitions in lattice QCD at finite temperature and density, which is based on the investigation of an effective potential as a function of the average plaquette. We analyze data obtained in…

High Energy Physics - Lattice · Physics 2008-11-26 Shinji Ejiri

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

The chiral symmetry of QCD with two massless quark flavours gets restored in a non-analytic chiral phase transition at finite temperature and zero density. Whether this is a first-order or a second-order transition has not yet been…

High Energy Physics - Lattice · Physics 2013-11-05 Claudio Bonati , Massimo D'Elia , Philippe de Forcrand , Owe Philipsen , Francesco Sanfillippo

Standard lattice fermion algorithms run into the well-known sign problem at real chemical potential. In this paper we investigate the possibility of using imaginary chemical potential, and argue that it has advantages over other methods,…

High Energy Physics - Lattice · Physics 2009-07-09 M. Alford , A. Kapustin , F. Wilczek

We take the Dyson-Schwinger Equation approach of QCD for the quark propagator at complex chemical potential to study the QCD phase transition. The phase transition line of the $(2+1)$-flavor QCD matter in the imaginary chemical potential…

High Energy Physics - Phenomenology · Physics 2024-08-20 Zi-Yan Wan , Yi Lu , Fei Gao , Yu-Xin Liu

We calculate the QCD cross-over temperature, the equation of state and fluctuations of conserved charges at finite density by analytical continuation from imaginary to real chemical potentials. Our calculations are based on new continuum…

Nuclear Theory · Physics 2016-11-23 R. Bellwied , S. Borsanyi , Z. Fodor , J. Gunther , S. D. Katz , A. Pasztor , C. Ratti , K. K. Szabo

The phase diagram of QCD, as a function of temperature T and quark chemical potential mu, may contain a critical point (mu_E,T_E) whose non-perturbative nature makes it a natural object of lattice studies. However, the sign problem prevents…

High Energy Physics - Lattice · Physics 2009-11-13 Ph. de Forcrand

We simulate lattice QCD with two flavors of Wilson fermions at imaginary baryon chemical potential. Results for the baryon number density computed in the confining and deconfining phases at imaginary baryon chemical potential are used to…

High Energy Physics - Lattice · Physics 2018-08-29 V. G. Bornyakov , D. L. Boyda , V. A. Goy , H. Iida , A. V. Molochkov , Atsushi Nakamura , A. A. Nikolaev , V. I. Zakharov , M. Wakayama

We study the finite density phase transition in the lattice QCD at real chemical potential. We adopt canonical approach and the canonical partition function is constructed for Nf=2 QCD. After derivation of the canonical partition function…

High Energy Physics - Lattice · Physics 2016-03-23 Atsushi Nakamura , Shotaro Oka , Yusuke Taniguchi