English
Related papers

Related papers: Stochastic quantization at nonzero chemical potent…

200 papers

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 propose a method to study lattice QCD at finite temperature (T) and chemical potential (\mu). We test the method and compare it with the Glasgow method using n_f=4 staggered QCD with imaginary \mu. The critical endpoint (E) of QCD on the…

High Energy Physics - Lattice · Physics 2009-11-07 Z. Fodor , S. D. Katz

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…

High Energy Physics - Lattice · Physics 2018-02-15 Shotaro Oka

The great majority of algorithms employed in the study of lattice field theory are based on Monte Carlo's importance sampling method, i.e. on probability interpretation of the Boltzmann weight. Unfortunately in many theories of interest one…

High Energy Physics - Lattice · Physics 2016-06-03 Lorenzo Bongiovanni

We propose two novel formulations of the hopping parameter expansion for finite density QCD using Wilson fermions, while keeping the gauge action intact. We use the complex Langevin equation to circumvent the sign problem in the theory. We…

High Energy Physics - Lattice · Physics 2015-03-31 G. Aarts , E. Seiler , D. Sexty , I. -O. Stamatescu

We summarise recent progress in simulating QCD at nonzero baryon density using complex Langevin dynamics. After a brief outline of the main idea, we discuss gauge cooling as a means to control the evolution. Subsequently we present a status…

High Energy Physics - Lattice · Physics 2014-12-03 Gert Aarts , Felipe Attanasio , Benjamin Jäger , Erhard Seiler , Denes Sexty , Ion-Olimpiu Stamatescu

We study lattice QCD at non-vanishing chemical potential using the complex Langevin equation. We compare the results with multi-parameter reweighting both from $\mu=0$ and phase quenched ensembles. We find a good agreement for lattice…

High Energy Physics - Lattice · Physics 2015-12-02 Z. Fodor , S. D. Katz , D. Sexty , C. Török

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

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…

Developments in QCD at finite density are reviewed. I begin by discussing some new algorithms which have been applied to other theories with sign problems. Then I discuss the method of analytic continuation in QCD using a series expansion…

High Energy Physics - Lattice · Physics 2011-01-04 Sourendu Gupta

Taylor expansion of the equation of state of QCD suffers from shortcomings at chemical potentials $\mu_B \geq (2-2.5)T$. First, one faces difficulties inherent in performing such an expansion with a limited number of coefficients; second,…

High Energy Physics - Lattice · Physics 2021-06-16 S. Borsanyi , Z. Fodor , J. N. Guenther , R. Kara , S. D. Katz , P. Parotto , A. Pasztor , C. Ratti , K. K. Szabo

An algorithm to simulate full QCD with 3 colours at nonzero chemical potential on the lattice is proposed. The algorithm works for small values of the chemical potential and can be used to extract expectation values of CPT invariant…

High Energy Physics - Lattice · Physics 2016-09-01 B. Alles , E. M. Moroni

Lattice QCD at non-vanishing chemical potential is studied using the complex Langevin equation (CLE). One of the conditions for the correctness of the results of the CLE is that the zeroes of the measure coming from the fermionic…

High Energy Physics - Lattice · Physics 2016-11-10 G. Aarts , E. Seiler , D. Sexty , I. -O. Stamatescu

Peripheral heavy-ion collisions are expected to exhibit magnetic fields with magnitudes comparable to the QCD scale, as well as non-zero baryon densities. Whereas QCD at finite magnetic fields can be simulated directly with standard lattice…

High Energy Physics - Lattice · Physics 2024-01-05 S. Borsányi , B. B. Brandt , G. Endrődi , J. Guenther , R. Kara , A. D. M. Valois

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

The three-dimensional SU(3) spin model is an effective Polyakov loop model for QCD at nonzero temperature and density. It suffers from a sign problem at nonzero chemical potential. We revisit this model using complex Langevin dynamics and…

High Energy Physics - Lattice · Physics 2015-06-03 Gert Aarts , Frank A. James

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

At sufficiently high temperature and density, quantum chromodynamics (QCD) predicts phase transition from the hadronic phase to the quark-gluon plasma phase. Lattice QCD is the most useful tool to investigate this critical phenomenon, which…

High Energy Physics - Phenomenology · Physics 2017-08-23 Xiang-Qian Luo , Eric B. Gregory , Shuo-Hong Guo , Helmut Kroger

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

I answer the question in the title for the relativistic Bose gas at finite chemical potential using numerical lattice simulations, complemented with analytical understanding.

High Energy Physics - Lattice · Physics 2010-01-26 Gert Aarts