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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

We present a method of simulating lattice QCD at nonzero chemical potential in the chiral limit. By adding a weak four-fermi interaction to the standard staggered fermion SU(3) QCD action, we produce an algorithm in which the limit of…

High Energy Physics - Lattice · Physics 2009-10-28 I. M. Barbour , S. E. Morrison , John B. Kogut

One way of avoiding the complex action problem in lattice QCD at non-zero density is to simulate QCD-like theories with a real action, such as two-colour QCD. The symmetries of two-colour QCD with quarks in the fundamental and in the…

High Energy Physics - Lattice · Physics 2007-05-23 Jonivar Skullerud

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 propose a new method for simulating QCD at finite density, where interesting phases such as the color superconductivity phase is conjectured to appear. The method is based on a general factorization property of distribution functions of…

High Energy Physics - Lattice · Physics 2017-08-23 Jun Nishimura

We present the first results for lattice QCD at finite temperature $T$ and chemical potential $\mu$ with four flavors of Wilson quarks. The calculations are performed using the imaginary chemical potential method at $\kappa=0$, 0.001, 0.15,…

High Energy Physics - Lattice · Physics 2009-11-10 He-Sheng Chen , Xiang-Qian Luo

Due to the sign problem, it is exponentially difficult to study QCD on the lattice at finite chemical potential. We propose a method --an overlap improving multi-parameter reweighting technique-- to alleviate this problem. We apply this…

High Energy Physics - Lattice · Physics 2009-07-09 Z. Fodor , S. D. Katz

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

One suggestion for determining the properties of QCD at finite temperatures and densities is to carry out lattice simulations with an imaginary chemical potential whereby no sign problem arises, and to convert the results to real physical…

High Energy Physics - Lattice · Physics 2009-10-31 A. Hart , M. Laine , O. Philipsen

The phase diagram of two-color QCD with non-zero chiral chemical potential is studied by means of lattice simulation. We focus on the influence of a chiral chemical potential on the confinement/deconfinement phase transition and the…

High Energy Physics - Lattice · Physics 2015-03-24 V. V. Braguta , V. A. Goy , E. -M. Ilgenfritz , A. Yu. Kotov , A. V. Molochkov , M. Muller-Preussker , B. Petersson

Lattice techniques are the most reliable ones to investigate the QCD phase diagram in the temperature-baryon density (chemical potential) plane. These techniques are, however, well-known to be saddled with a variety of problems at nonzero…

High Energy Physics - Lattice · Physics 2021-12-01 Rajiv V. Gavai

We consider a lattice-inspired random matrix model for the QCD chiral phase transition at finite chemical potential. Useful features of the usual RMM for QCD at finite chemical potential are reobtained, some being brought closer to their…

High Energy Physics - Lattice · Physics 2007-05-23 M. A. Halasz

After presenting a brief review of how simulations of QCD with imaginary chemical potential can be used to extract physical results, we analyse the phase structure of QCD with four flavours of dynamical fermions in the finite temperature -…

High Energy Physics - Lattice · Physics 2017-08-23 M. D'Elia , M. P. Lombardo

Lattice techniques are the most reliable ones to investigate non-perturbative aspects of quantum chromodynamics (QCD) such as its phase diagram in the temperature-baryon density plane. They are, however, well-known to be beset with a…

High Energy Physics - Lattice · Physics 2021-06-22 Rajiv V. Gavai

We simulate 3-flavour lattice QCD at finite quark-number chemical potential mu in the phase-quenched approximation, close to the finite temperature transition. Working close to the critical quark mass, we find no evidence for the expected…

High Energy Physics - Lattice · Physics 2009-04-14 D. K. Sinclair , J. B. Kogut

These lecture notes contain an elementary introduction to lattice QCD at nonzero chemical potential. Topics discussed include chemical potential in the continuum and on the lattice; the sign, overlap and Silver Blaze problems; the phase…

High Energy Physics - Lattice · Physics 2016-06-22 Gert Aarts

In this letter we give the equation of state of QCD at finite temperatures and densities. The recently proposed overlap improving multi-parameter reweighting technique is used to determine observables at nonvanishing chemical potentials.…

High Energy Physics - Lattice · Physics 2008-11-26 Z. Fodor , S. D. Katz , K. K. Szabo

We review the current methods and results of lattice simulations of quantum chromodynamics at nonzero temperatures and densities. The review is intended to introduce the subject to interested nonspecialists and beginners. It includes a…

High Energy Physics - Lattice · Physics 2009-07-24 C. E. DeTar , U. M. Heller

We propose a method to study lattice QCD at finite temperature (T) and chemical potential (\mu). We compare the method with direct results and with the Glasgow method by using n_f=4 QCD at Im(\mu)\neq0. We locate the critical endpoint (E)…

Nuclear Theory · Physics 2007-05-23 Z. Fodor , S. D. Katz

We review a method for numerical simulations of lattice gauge theories at non-zero baryonic chemical potential we recently proposed. We first report on a test of the method using a solvable model and then present results for the phase…

High Energy Physics - Lattice · Physics 2007-05-23 Vicente Azcoiti , Giuseppe Di Carlo , Angelo Galante , Victor Laliena
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