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Quark deconfinement phase transition at finite temperature and density is investigated in the frame of quantum mechanics. By solving the Schr\"odinger equation for a heavy quark in a thermal mean field, we calculate the quark probability…

High Energy Physics - Phenomenology · Physics 2007-05-23 Lianyi He , Guang Bian , Jinfeng Liao , Pengfei Zhuang

As an important set of thermodynamic quantities, knowledge of the equation of state over a broad range of temperatures and chemical potentials in the QCD phase diagram is crucial for our understanding of strongly-interacting matter. There…

High Energy Physics - Phenomenology · Physics 2024-03-01 Jamie M. Karthein

We demonstrate that the complex Langevin method (CLM) enables calculations in QCD at finite density in a parameter regime in which conventional methods, such as the density of states method and the Taylor expansion method, are not…

High Energy Physics - Lattice · Physics 2020-12-02 Yuta Ito , Hideo Matsufuru , Yusuke Namekawa , Jun Nishimura , Shinji Shimasaki , Asato Tsuchiya , Shoichiro Tsutsui

We study the interplay of quark number density and chiral symmetry in lattice QCD. We suggest that both are controlled by the eigenvalue spectrum of the fermionic propagator matrix, which shapes the pattern of zeros of the partition…

High Energy Physics - Lattice · Physics 2007-05-23 M. -P. Lombardo

We clarify the relation between the improvement of dispersion relations in the fermion sector of lattice regularized QCD and the improvement of bulk thermodynamic observables. We show that in the infinite temperature limit the cut-off…

High Energy Physics - Lattice · Physics 2008-11-26 P. Hegde , F. Karsch , E. Laermann , S. Shcheredin

We discuss the QCD phase diagram in the strong coupling limit of lattice QCD by using a new type of mean field coming from the next-to-leading order of the large dimensional expansion. The QCD phase diagram in the strong coupling limit…

High Energy Physics - Lattice · Physics 2015-03-19 Akira Ohnishi , Kohtaroh Miura , Takashi Z. Nakano

Domain wall fermions are a new lattice fermion formulation which preserves the full chiral symmetry of the continuum at finite lattice spacing, up to terms exponentially small in an extra parameter. We discuss the main features of the…

High Energy Physics - Lattice · Physics 2007-05-23 George Tamminga Fleming

We calculate an analogue of the average phase factor of the staggered fermion determinant at imaginary chemical potential. Our results from the lattice agree well with the analytical predictions in the microscopic regime for both quenched…

High Energy Physics - Lattice · Physics 2008-11-26 K. Splittorff , B. Svetitsky

In order to describe properties of an equilibrated quark-gluon plasma, QCD at finite temperature (and density) has to be considered. Besides lattice calculations, which can be applied only to static quantities at zero density, perturbative…

High Energy Physics - Phenomenology · Physics 2009-10-31 Markus H. Thoma

I give a survey of recent progress in our understanding of QCD at high density and temperature. I pay particular attention to color superconductivity, applications of lattice gauge theory at nonzero density as well as high temperature,…

High Energy Physics - Phenomenology · Physics 2015-06-25 Mark G. Alford

The use of known analytic results for the continuum fermion determinants in QCD and QED as benchmarks for zero lattice spacing extrapolations of lattice fermion determinants is proposed. Specifically, they can be used as a check on the…

High Energy Physics - Lattice · Physics 2009-11-10 M. P. Fry

This paper is a slightly modified version of the introductory part of a doctoral dissertation that contained also three original articles, hep-ph/0212283, hep-ph/0305183 and hep-ph/0311323. Our purpose is to review the history and present…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Vuorinen

We perform a time-dependent study of the driven dynamics of overdamped particles which are placed in a one-dimensional, piecewise linear random potential. This set-up of spatially quenched disorder then exerts a dichotomous varying random…

Statistical Mechanics · Physics 2016-08-14 S. I. Denisov , M. Kostur , E. S. Denisova , P. Hänggi

A new method of employing an isospin chemical potential for QCD-like theories with different number of colors, number of fermion flavors, and in different fermion representations is proposed. The isospin chemical potential, which can be…

High Energy Physics - Lattice · Physics 2013-05-30 Michael I. Buchoff

QCD is expected to have a rich phase structure. It is empirically known to be difficult to access low temperature and nonzero chemical potential $\mu$ regions in lattice QCD simulations. We address this issue in a lattice QCD with the use…

High Energy Physics - Lattice · Physics 2012-06-08 Keitaro Nagata , Shinji Motoki , Yoshiyuki Nakagawa , Atsushi Nakamura , Takuya Saito

Some recent developments to handle the numerical sign problem in QCD and related theories at nonzero density are reviewed. In this contribution I focus on changing the integration order to soften the severity of the sign problem, the…

High Energy Physics - Lattice · Physics 2015-02-13 Gert Aarts

We review recent results on QCD at finite temperature and non-vanishing baryon number density. We focus on observables which are of immediate interest to experimental searches for the Quark Gluon Plasma, i.e. the phase transition…

High Energy Physics - Lattice · Physics 2015-06-25 Frithjof Karsch

We carry out a finite density calculation based on a canonical approach which is designed to address the overlap problem. Two degenerate flavor simulations are performed using Wilson gauge action and Wilson fermions on $4^4$ lattices, at…

High Energy Physics - Lattice · Physics 2016-08-16 Andrei Alexandru , Manfried Faber , Ivan Horváth , Keh-Fei Liu

Lattice QCD with staggered fermions at strong coupling has long been studied in a dual representation to circumvent the finite baryon density sign problem. Monte Carlo simulations at finite temperature and density require anisotropic…

High Energy Physics - Lattice · Physics 2018-11-09 Dennis Bollweg , Marc Klegrewe , Wolfgang Unger

The exchange antisymmetry between identical fermions gives rise to the well known fermion sign problem, in the form of large cancellation between positive and negative contribution to the partition function, making any simulation methods…

Quantum Gases · Physics 2022-08-31 Xiong Yunuo , Xiong Hongwei