A faster method of computation of lattice quark number susceptibilities

Abstract

We compute the quark number susceptibilities in two flavor QCD for staggered fermions by adding the chemical potential as a Lagrange multiplier for the point-split number density term. Since lesser number of quark propagators are required at any order, this method leads to faster computations. We propose a subtraction procedure to remove the inherent undesired lattice terms and check that it works well by comparing our results with the existing ones where the elimination of these terms is analytically guaranteed. We also show that the ratios of susceptibilities are robust, opening a door for better estimates of location of the QCD critical point through the computation of the tenth and twelfth order baryon number susceptibilities without significant additional computational overload.

10 pages, 12 figures

References in corpus (3)

• QCD at finite chemical potential with six time slices
• STAR experiment results from the beam energy scan program at RHIC
• Introduction of the chemical potential in the overlap formalism

Cited by in corpus (11)

• Chiral crossover in QCD at zero and non-zero chemical potentials
• The QCD Equation of State to $\mathcal{O}({\mu }_B^6)$ from Lattice QCD
• The phase structure of QCD
• Lattice QCD Equation of State for Nonvanishing Chemical Potential by Resumming Taylor Expansion
• New Way to Resum the Lattice QCD Taylor Series Equation of State at Finite Chemical Potential
• QCD Critical Point: The Race is On
• Divergences in the quark number susceptibility : The origin and a cure
• Exact chiral invariance at finite density on the lattice
• Lattice QCD at nonzero temperature and density
• The QCD Equation of state and critical end-point estimates at $\mathcal{O}({\mu }_B^6)$
• QCD thermodynamics on the lattice