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We construct the effective potential for a QCD-like theory using the auxiliary field method. The chiral phase transition exhibited by the model at finite temperature and the quark chemical potential is studied from the viewpoint of the…

High Energy Physics - Phenomenology · Physics 2016-09-06 Y. Hashimoto , Y. Tsue , H. Fujii

We summarize our recent results on the phase diagram of QCD with N_f=2+1 quark flavors, as a function of temperature T and quark chemical potential \mu. Using staggered fermions, lattices with temporal extent N_t=4, and the exact RHMC…

High Energy Physics - Lattice · Physics 2009-04-14 Philippe de Forcrand , Owe Philipsen

The nature of the thermal phase transition of two flavor QCD in the chiral limit has an important implication for the QCD phase diagram. We carry out lattice QCD simulations in an attempt to address this problem. Simulations are conducted…

High Energy Physics - Lattice · Physics 2018-07-04 Liang-Kai Wu , Fa-Ling Zhang

We propose a novel Bayesian method to analytically continue observables to real baryochemical potential $\mu_B$ in finite density QCD. Taylor coefficients at $\mu_B=0$ and data at imaginary chemical potential $\mu_B^I$ are treated on equal…

High Energy Physics - Lattice · Physics 2021-03-11 Attila Pásztor , Zsolt Szép , Gergely Markó

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

High Energy Physics - Lattice · Physics 2010-01-26 Paolo Cea , Leonardo Cosmai , Massimo D'Elia , Chiara Manneschi , Alessandro Papa

We test the reliability of the the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model, comparing the model result with the lattice data at nonzero imaginary chemical potential. The PNJL model with the vector-type four-quark and…

High Energy Physics - Phenomenology · Physics 2009-08-21 Yuji Sakai , Kouji Kashiwa , Hiroaki Kouno , Masayuki Matsuzaki , Masanobu Yahiro

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

We have performed high-statistics lattice simulations using 4HEX improved staggered fermions on $16^3 \times 8$ lattices. We calculated the Taylor expansion coefficients of the pressure with respect to the baryochemical potential to the…

New approach to computation of canonical partition functions in $N_f=2$ lattice QCD is presented. We compare results obtained by new method with results obtained by known method of hopping parameter expansion. We observe agreement between…

High Energy Physics - Lattice · Physics 2017-04-26 V. G. Bornyakov , D. L. Boyda , V. A. Goy , A. V. Molochkov , Atsushi Nakamura , A. A. Nikolaev , V. I. Zakharov

We calculate for the first time the complex potential between a heavy quark and antiquark at finite temperature across the deconfinement transition in lattice QCD. The real and imaginary part of the potential at each separation distance $r$…

High Energy Physics - Lattice · Physics 2013-05-30 Alexander Rothkopf , Tetsuo Hatsuda , Shoichi Sasaki

We report on an ongoing study on the interplay between Roberge-Weiss (RW) and chiral transitions in simulations of (2+1)-flavor QCD with an imaginary chemical potential. We established that the RW endpoint belongs to the 3-$d$, $Z_2$…

High Energy Physics - Lattice · Physics 2024-01-04 D. A. Clarke , Jishnu Goswami , F. Karsch , Anirban Lahiri , M. Neumann , C. Schmidt

Imaginary baryon number chemical potential simulations are a popular workaround for the (in)famous sign problem plaguing finite density QCD studies on the lattice. One is necessarily left with the problem of analytically continuing results…

High Energy Physics - Lattice · Physics 2025-02-06 Francesco Di Renzo , Marco Aliberti , Petros Dimopoulos

Some consequences of the analyticity of the free energy (pressure) of QCD at finite chemical potential are deduced. These include a method for numerical exploration of the full phase diagram by a novel use of simulations at imaginary…

High Energy Physics - Lattice · Physics 2009-11-10 Sourendu Gupta

We discuss analytic continuation as a tool to extract the cumulants of the quark number fluctuations in the strongly interacting medium from lattice QCD simulations at imaginary chemical potentials. The method is applied to $N_f = 2+1$ QCD,…

High Energy Physics - Lattice · Physics 2017-06-21 Massimo D'Elia , Giuseppe Gagliardi , Francesco Sanfilippo

We present our latest results for the the complex valued static heavy-quark potential at finite temperature from lattice QCD. The real and imaginary part of the potential are obtained from the position and width of the lowest lying peak in…

High Energy Physics - Lattice · Physics 2014-10-28 Yannis Burnier , Olaf Kaczmarek , Alexander Rothkopf

After giving an overview of recently invented methods for simulating lattice QCD at small mu/T, we discuss some results for bulk thermodynamic quantities of QCD matter coming from those methods. We focus on the transition line and the…

High Energy Physics - Lattice · Physics 2017-08-23 C. Schmidt

A class of Polyakov-loop-modified Nambu--Jona-Lasinio (PNJL) models have been used to support a conjecture that numerical simulations of lattice-regularized quantum chromodynamics (QCD) defined with a chiral chemical potential can provide…

We determine the curvature of the (pseudo)critical line of QCD with $n_f$=2+1 staggered fermions at nonzero temperature and quark density, by analytic continuation from imaginary chemical potentials. Monte Carlo simulations are performed…

High Energy Physics - Lattice · Physics 2014-04-30 Paolo Cea , Leonardo Cosmai , Alessandro Papa

Charting the phase diagram of Quantum Chromodynamics (QCD) at large density is a challenging task due to the complex action problem in lattice simulations. Through simulations at imaginary baryon chemical potential $\mu_B$ we observe that,…

High Energy Physics - Lattice · Physics 2025-11-03 Szabolcs Borsányi , Zoltán Fodor , Jana N. Guenther , Piyush Kumar , Paolo Parotto , Attila Pásztor , Chik Him Wong