Multipoint reweighting method and its applications to lattice QCD

Abstract

The reweighting method is widely used in numerical studies of QCD, in particular, for the cases in which the conventional Monte-Carlo method cannot be applied directly, e.g., finite density QCD. However, the application range of the reweighing method is restricted due to several problems. One of the most severe problems here is the overlap problem. To solve it, we examine a multipoint reweighting method in which simulations at several simulation points are combined in the data analyses. We systematically study the applicability and limitation of the multipoint reweighting method in two-flavor QCD at zero density. Measuring histograms of physical quantities at a series of simulation points, we apply the multipoint reweighting method to calculate the meson masses as continuous functions of the gauge coupling $\beta$ and the hopping parameters $\kappa$. We then determine lines of constant physics and beta functions, which are needed in a calculation of the equation of state at finite temperature.

16 pages, 25 figures. arXiv admin note: text overlap with arXiv:1501.06331

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Cited by in corpus (11)

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• Latent heat at the first order phase transition point of SU(3) gauge theory
• Finite-size scaling around the critical point in the heavy quark region of QCD
• Latent heat and pressure gap at the first-order deconfining phase transition of SU(3) Yang-Mills theory using the small flow-time expansion method
• Functional renormalization group study of the critical region of the quark-meson model with vector interactions
• Scope and convergence of the hopping parameter expansion in finite temperature QCD with heavy quarks around the critical point
• $\theta$ dependence of $T_c$ in 4d SU(3) Yang-Mills theory with histogram method and the Lee-Yang zeros in the large $N$ limit
• Towards the QCD equation of state at the physical point using Wilson fermion
• Latent heat and pressure gap at the first-order deconfining phase transition of SU(3) Yang-Mills theory using the small flow-time expansion method
• Canonical partition function and center symmetry breaking in finite density lattice gauge theories