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Most lattice studies of hot and dense QCD matter rely on extrapolation from zero or imaginary chemical potentials. The ill-posedness of numerical analytic continuation puts severe limitations on the reliability of such methods. We studied…

高能物理 - 格点 · 物理学 2022-01-05 Attila Pasztor , Szabolcs Borsanyi , Zoltan Fodor , Matteo Giordano , Sandor D. Katz , Daniel Nogradi , Chik Him Wong

Approaches to finite baryon density lattice QCD usually suffer from uncontrolled systematic uncertainties in addition to the well-known sign problem. We test a method - sign reweighting - that works directly at finite chemical potential and…

The thermal restoration of chiral symmetry in QCD is known to proceed by an analytic crossover, which is widely expected to turn into a phase transition with a critical endpoint as the baryon density is increased. In the absence of a…

高能物理 - 格点 · 物理学 2021-11-08 Owe Philipsen

All approaches currently used to study finite baryon density lattice QCD suffer from uncontrolled systematic uncertainties in addition to the well-known sign problem. We formulate and test an algorithm, sign reweighting, that works directly…

高能物理 - 格点 · 物理学 2020-06-24 Matteo Giordano , Kornel Kapas , Sandor D. Katz , Daniel Nogradi , Attila Pasztor

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…

高能物理 - 格点 · 物理学 2014-11-20 Philippe de Forcrand

This review gives a critical assessment of the current state of lattice simulations of QCD thermodynamics and what it teaches us about hot hadronic matter. It outlines briefly lattice methods for studying QCD at nonzero temperature and zero…

高能物理 - 格点 · 物理学 2010-01-21 Carleton DeTar

We compare higher moments of baryon numbers measured at the RHIC heavy ion collision experiments with those by the lattice QCD calculations. We employ the canonical approach, in which we can access the real chemical potential regions…

高能物理 - 格点 · 物理学 2018-11-07 D. Boyda , V. G. Bornyakov , V. Goy , A. Molochkov , A. Nakamura , A. Nikolaev , V. I. Zakharov

We study the phase structure of QCD at finite temperature and density by numerical simulations on a lattice. The most important point for the numerical study at finite density is treatment of the sign problem. We propose a method to avoid…

高能物理 - 格点 · 物理学 2011-03-10 Shinji Ejiri

We present some new results regarding simulations of finite density QCD based on a canonical approach. A previous study has shown that such simulations are feasible, at least on small lattices. In the current study, we investigate some of…

高能物理 - 格点 · 物理学 2008-11-26 Anyi Li , Andrei Alexandru , Keh-Fei Liu

I review recent developments in determining the QCD phase diagram by means of lattice simulations. Since the invention of methods to side-step the sign problem a few years ago, a number of additional variants have been proposed, and…

高能物理 - 格点 · 物理学 2007-05-23 Owe Philipsen

The properties of matter at finite baryon densities play an important role for the astrophysics of compact stars as well as for heavy ion collisions or the description of nuclear matter. Because of the sign problem of the quark determinant,…

高能物理 - 格点 · 物理学 2017-04-05 Owe Philipsen

QCD at finite density presents specific challenges to lattice gauge theory. Nonetheless, a region of the QCD phase diagram up to moderately large baryon chemical potentials has been successfully explored on the lattice and new results and…

高能物理 - 格点 · 物理学 2008-11-26 M. -P. Lombardo

The study of QCD phase diagram is very interesting, but we have never understood it well. This is because we face a problem at finite density in QCD. The problem is called sign problem. It causes a decrease of the calculation accuracy. This…

高能物理 - 格点 · 物理学 2018-02-15 Shotaro Oka

A concise review of the progress of lattice calculations at non-zero density since QM2006 is given, with emphasis on the high baryon density, low temperature domain. Possibilities for exploring densities higher than those studied by…

高能物理 - 格点 · 物理学 2008-11-26 M. P. Lombardo

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…

高能物理 - 格点 · 物理学 2021-12-01 Rajiv V. Gavai

We simulate lattice QCD with an irrelevant chiral 4-fermion interaction which allows us to simulate at zero quark mass. This enables us to study the finite-temperature chiral-symmetry-restoring phase transition for 2 massless quark…

高能物理 - 格点 · 物理学 2007-05-23 J. B. Kogut , D. K. Sinclair

We study lattice QCD in the limit of infinite gauge coupling on a discrete spatial yet continuous Euclidean time lattice at finite baryon chemical potential $\mu_B$. The continuous time framework is based on sending $N_\tau\rightarrow…

高能物理 - 格点 · 物理学 2019-12-23 Marc Klegrewe , Wolfgang Unger

The status of lattice QCD investigations at high temperature is reviewed. After a short introduction into thermal QCD on the lattice we report on the present understanding of the phase diagram and the equation of state, in particular in…

高能物理 - 唯象学 · 物理学 2009-11-10 E. Laermann , O. Philipsen

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…

高能物理 - 格点 · 物理学 2009-07-09 Z. Fodor , S. D. Katz

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…

高能物理 - 格点 · 物理学 2008-11-26 M. P. Lombardo
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