Finite Density Algorithm in Lattice Qcd—a Canonical Ensemble Approach

LIU, KEH-FEI

doi:10.1142/9789812776358_0020

Cited by 2 publications

(3 citation statements)

References 21 publications

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“…(i) reweighting of the = 0 partition function [86][87][88][89], (ii) Taylor series expansion [90][91][92], (iii) canonical ensemble method [93][94][95][96], (iv) imaginary chemical potential approach [97][98][99][100], (v) complex Langevin algorithm [101][102][103][104][105], (vi) worm algorithms [106,107].…”

Section: Lattice Qcd At Finite Densitymentioning

confidence: 99%

QCD Thermodynamics on the Lattice

Sharma

2013

Advances in High Energy Physics

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A remarkable progress has been made in the understanding of the hot and dense QCD matter using lattice gauge theory. The issues which are very well understood as well as those which require both conceptual and algorithmic advances are highlighted. The recent lattice results on QCD thermodynamics which are important in the context of the heavy ion experiments are reviewed. Instances of greater synergy between the lattice theory and the experiments in the recent years are discussed where lattice results could be directly used as benchmarks for experiments, and results from the experiments would be a crucial input for lattice computations.

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Section: Lattice Qcd At Finite Densitymentioning

confidence: 99%

QCD Thermodynamics on the Lattice

Sharma

2013

Advances in High Energy Physics

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“…Various strategies for that task can be found in the literature. They either use different expansions of the fermion determinant or Fourier transformation of the determinant with respect to imaginary chemical potential (see [1] for some examples). However, so far the results for canonical lattice QCD are restricted to small volumes and low densities [1].…”

Section: Introductory Remarksmentioning

confidence: 99%

“…They either use different expansions of the fermion determinant or Fourier transformation of the determinant with respect to imaginary chemical potential (see [1] for some examples). However, so far the results for canonical lattice QCD are restricted to small volumes and low densities [1].In recent years an alternative formulation based on worldlines was found and explored for several lattice field theories (see [2] for reviews given at the yearly lattice conference series on that topic). In the worldline (or dual) formulation the partition function Z is exactly rewritten in terms of new variables, such that Z becomes a sum over configurations of worldlines.…”

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confidence: 99%

Canonical simulations with worldlines: An exploratory study in ϕ24 lattice field theory

Orasch

Gattringer

2018

Int. J. Mod. Phys. A

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In this letter we explore the perspectives for canonical simulations in the worldline formulation of a lattice field theory. Using the charged φ 4 field in two dimensions as an example we present the details of the canonical formulation based on worldlines and outline algorithmic strategies for canonical worldline simulations. We discuss the steps for converting the data from the canonical approach to the grand canonical picture which we use for cross-checking our results. The canonical approach presented here can easily be generalized to other lattice field theories with a worldline representation. Introductory remarksImplementing a clean ab-initio calculation of lattice QCD at finite density is one of the great open challenges in the field. The reason for the difficulties is the fact that at non-zero chemical potential µ the action S becomes complex and the Boltzmann factor exp(−S) cannot be used as a weight factor in a Monte Carlo simulation. Among the different approaches for overcoming that so-called complex action problem are canonical simulations where one works at fixed net baryon number, i.e., at a fixed density. The key challenge for implementing the canonical strategy in QCD is the projection to the desired quark or baryon number: in the conventional path integral representation the quark number is not an integer valued observable and the fermion determinant has to be decomposed into temporal winding classes for the gauge loops it consists of. Various strategies for that task can be found in the literature. They either use different expansions of the fermion determinant or Fourier transformation of the determinant with respect to imaginary chemical potential (see [1] for some examples). However, so far the results for canonical lattice QCD are restricted to small volumes and low densities [1].In recent years an alternative formulation based on worldlines was found and explored for several lattice field theories (see [2] for reviews given at the yearly lattice conference series on that topic). In the worldline (or dual) formulation the partition function Z is exactly rewritten in terms of new variables, such that Z becomes a sum over configurations of worldlines. The corresponding weights for the worldline configurations are real and positive also at non-zero chemical potential and the complex action problem is overcome completely in such a worldline representation.

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Finite Density Algorithm in Lattice Qcd—a Canonical Ensemble Approach

Cited by 2 publications

References 21 publications

QCD Thermodynamics on the Lattice

QCD Thermodynamics on the Lattice

Canonical simulations with worldlines: An exploratory study in ϕ24 lattice field theory

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