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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 method of analytic continuation from imaginary to real chemical potential in two-color QCD, which is free from the sign problem. In particular, we consider the analytic continuation of the critical line to real values of the…

High Energy Physics - Lattice · Physics 2009-11-13 P. Cea , L. Cosmai , M. D'Elia , A. Papa

The method of analytic continuation from imaginary to real chemical potentials $\mu$ is one of the few available techniques to study QCD at finite temperature and baryon density. One of its most appealing applications is the determination…

High Energy Physics - Lattice · Physics 2008-11-26 Paolo Cea , Leonardo Cosmai , Massimo D'Elia , Alessandro Papa

We determine the pseudo-critical line in the temperature - chemical potential plane of 2-color QCD by direct Monte Carlo simulations and by analytic continuation from imaginary chemical potential.

High Energy Physics - Lattice · Physics 2008-11-26 Paolo Cea , Leonardo Cosmai , Massimo D'Elia , Alessandro Papa

The method of analytic continuation is one of the most powerful tools to circumvent the sign problem in lattice QCD. The present study is part of a larger project which, based on the investigation of QCD-like theories which are free of the…

High Energy Physics - Lattice · Physics 2010-11-05 P. Cea , L. Cosmai , M. D'Elia , A. Papa

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

The method of analytic continuation from imaginary to real chemical potential is one of the most powerful tools to circumvent the sign problem in lattice QCD. Here we test this method in a theory, 2-color QCD, which is free from the sign…

High Energy Physics - Lattice · Physics 2010-10-27 Paolo Cea , Leonardo Cosmai , Massimo D'Elia , Alessandro Papa

We study QCD at nonzero temperature and baryon density in the framework of the analytic continuation from imaginary chemical potential. We carry out simulations of QCD with four flavor of staggered fermions, and reconstruct the phase…

High Energy Physics - Lattice · Physics 2009-11-07 M. D'Elia , M. -P. Lombardo

We determine the pseudo-critical couplings at imaginary chemical potentials by high-statistics Monte Carlo simulations of QCD with four degenerate quarks at non-zero temperature and baryon density by the method of analytic continuationan.…

High Energy Physics - Lattice · Physics 2010-12-23 P. Cea , L. Cosmai , M. D'Elia , A. Papa

The method of analytical continuation from imaginary to real chemical potential is tested in 2-color QCD. In comparison to previous studies in the same theory, an exact updating algorithm is used and simulations are performed closer to the…

High Energy Physics - Lattice · Physics 2009-09-29 P. Cea , L. Cosmai , M. D'Elia , A. Papa

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

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

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

We revisit the determination of the pseudo-critical line of QCD with four degenerate quarks at non-zero temperature and baryon density by the method of analytic continuation. We determine the pseudo-critical couplings at imaginary chemical…

High Energy Physics - Lattice · Physics 2015-03-13 Paolo Cea , Leonardo Cosmai , Massimo D'Elia , Alessandro Papa

In this review, I recall the nature and the inevitability of the "sign problem" which plagues attempts to simulate lattice QCD at finite baryon density. I present the main approaches used to circumvent the sign problem at small chemical…

High Energy Physics - Lattice · Physics 2014-11-20 Philippe de Forcrand

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

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 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

We present preliminary results about the critical line of QCD with two degenerate staggered quarks at nonzero temperature and chemical potential, obtained by the method of analytic continuation. As in our previous studies with different…

High Energy Physics - Lattice · Physics 2011-10-19 P. Cea , L. Cosmai , M. D'Elia , A. Papa , F. Sanfilippo

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
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