scholarly journals New density of states approaches to finite density lattice QCD

2019 ◽  
Vol 100 (11) ◽  
Author(s):  
Christof Gattringer ◽  
Michael Mandl ◽  
Pascal Törek
Keyword(s):  
Lattice Qcd ◽  
Density Of States ◽  
Finite Density

scholarly journals New Canonical and Grand Canonical Density of States Techniques for Finite Density Lattice QCD

Particles ◽  
2020 ◽  
Vol 3 (1) ◽  
pp. 87-98
Author(s):  
Christof Gattringer ◽  
Michael Mandl ◽  
Pascal Törek
Keyword(s):  
Lattice Qcd ◽  
Density Of States ◽  
Chemical Potential ◽  
Vacuum Expectation ◽  
Expectation Values ◽  
New Techniques ◽  
Finite Density ◽  
Quantum Chromo Dynamics ◽  
Grand Canonical ◽  
Fermion Action

We discuss two new density of states approaches for finite density lattice QCD (Quantum Chromo Dynamics). The paper extends a recent presentation of the new techniques based on Wilson fermions, while here, we now discuss and test the case of finite density QCD with staggered fermions. The first of our two approaches is based on the canonical formulation where observables at a fixed net quark number N are obtained as Fourier moments of the vacuum expectation values at imaginary chemical potential θ . We treat the latter as densities that can be computed with the recently developed functional fit approach. The second method is based on a direct grand canonical evaluation after rewriting the QCD partition sum in terms of a suitable pseudo-fermion representation. In this form, the imaginary part of the pseudo-fermion action can be identified and the corresponding density may again be computed with the functional fit approach. We develop the details of the two approaches and discuss some exploratory first tests for the case of free fermions where reference results for assessing the new techniques may be obtained from Fourier transformation.

scholarly journals Phase fluctuation of fermion determinant in lattice QCD at finite density

2004 ◽  
Vol 129-130 ◽  
pp. 539-541 ◽  
Author(s):  
Yuji Sasai ◽  
Atsushi Nakamura ◽  
Tetsuya Takaishi
Keyword(s):  
Lattice Qcd ◽  
Phase Fluctuation ◽  
Finite Density

scholarly journals A simple idea for Lattice QCD at finite density

2015 ◽  
Author(s):  
Rajiv V. Gavai ◽  
Sayantan Sharma
Keyword(s):  
Lattice Qcd ◽  
Finite Density ◽  
Simple Idea

Finite Density Simulations: Comparison of Various Approaches

2007 ◽  
Vol 22 (07n10) ◽  
pp. 473-489
Author(s):  
Atsushi NAKAMURA
Keyword(s):  
Lattice Qcd ◽  
Finite Density ◽  
Short Overview ◽  
Near Future

This is a short overview of the lattice QCD simulations of finite density systems. We first describe a brief introduction of the lattice QCD at finite density, including the minimum necessary formulation, where we show why an annoying complex fermion determinant appears, and why in some cases it does not appear. Then we review several approaches of present and past days. We conclude possible directions of lattice QCD simulations at finite density in near future.

scholarly journals FINITE DENSITY ALGORITHM IN LATTICE QCD—A CANONICAL ENSEMBLE APPROACH

2002 ◽  
Vol 16 (14n15) ◽  
pp. 2017-2032 ◽  
Author(s):  
KEH-FEI LIU
Keyword(s):  
Monte Carlo ◽  
Lattice Qcd ◽  
Efficient Method ◽  
Chemical Potential ◽  
Canonical Ensemble ◽  
Unbiased Estimate ◽  
Baryon Number ◽  
Monte Carlo Algorithm ◽  
Finite Density ◽  
Ensemble Approach

I will review the finite density algorithm for lattice QCD based on finite chemical potential and summarize the associated difficulties. I will propose a canonical ensemble approach which projects out the finite baryon number sector from the fermion determinant. For this algorithm to work, it requires an efficient method for calculating the fermion determinant and a Monte Carlo algorithm which accommodates unbiased estimate of the probability. I shall report on the progress made along this direction with the Padé–Z2 estimator of the determinant and its implementation in the newly developed Noisy Monte Carlo algorithm.

Simulations with lattice QCD at finite density

1990 ◽  
Vol 342 (1) ◽  
pp. 269-278 ◽  
Author(s):  
I.M. Barbour ◽  
Z.A. Sabeur
Keyword(s):  
Lattice Qcd ◽  
Finite Density

scholarly journals Color screening potential at finite density in two-flavor lattice QCD with Wilson fermions

2013 ◽  
Vol 88 (11) ◽  
Author(s):  
Junichi Takahashi ◽  
Keitaro Nagata ◽  
Takuya Saito ◽  
Atsushi Nakamura ◽  
Takahiro Sasaki ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
Finite Density ◽  
Wilson Fermions
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