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We make remarks on the Maximum Entropy Method (MEM) for studies of the spectral function of hadronic correlators in finite temperature lattice QCD. We discuss the virtues and subtlety of MEM in the cases that one does not have enough number…

高能物理 - 格点 · 物理学 2007-05-23 Takashi Umeda , Hideo Matsufuru

The Maximum Entropy Method provides a Bayesian approach to reconstruct the spectral functions from discrete points in Euclidean time. The applicability of the approach at finite temperature is probed with the thermal meson correlation…

高能物理 - 格点 · 物理学 2015-06-25 I. Wetzorke , F. Karsch , E. Laermann , P. Petreczky , S. Stickan

We study various aspects of extracting spectral information from time correlation functions of lattice QCD by means of Bayesian inference with an entropic prior, the maximum entropy method (MEM). Correlator functions of a heavy-light…

高能物理 - 格点 · 物理学 2009-11-07 H. Rudolf Fiebig

First principle calculation of the QCD spectral functions (SPFs) based on the lattice QCD simulations is reviewed. Special emphasis is placed on the Bayesian inference theory and the Maximum Entropy Method (MEM), which is a useful tool to…

高能物理 - 格点 · 物理学 2009-10-31 M. Asakawa , T. Hatsuda , Y. Nakahara

When applying the maximum entropy method (MEM) to the analysis of hadron correlation functions in QCD a central issue is to understand to what extent this method can distinguish bound states, resonances and continuum contributions to…

高能物理 - 格点 · 物理学 2017-08-23 I. Wetzorke , F. Karsch

According to the Narnhofer Thirring Theorem interacting systems at finite temperature cannot be described by particles with a sharp dispersion law. It is therefore mandatory to develop new methods to extract particle masses at finite…

高能物理 - 格点 · 物理学 2009-10-31 M. Oevers , C. Davies , J. Shigemitsu

QCD sum rules are analyzed with the help of the Maximum Entropy Method. We develop a new technique based on the Bayesion inference theory, which allows us to directly obtain the spectral function of a given correlator from the results of…

高能物理 - 唯象学 · 物理学 2015-03-17 Philipp Gubler , Makoto Oka

Pseudo-scalar and vector meson correlation functions were calculated at temperatures below and above the deconfinement transition using ${\cal O}(a)$ improved Wilson fermions in quenched lattice QCD. The spectral functions were…

高能物理 - 格点 · 物理学 2007-05-23 I. Wetzorke

We present preliminary results for meson spectral functions at nonzero momentum, obtained from quenched lattice QCD simulations at finite temperature using the Maximal Entropy Method. Twisted boundary conditions are used to have access to…

高能物理 - 格点 · 物理学 2008-11-26 Gert Aarts , Chris Allton , Justin Foley , Simon Hands , Seyong Kim

We present results from an analytic calculation of thermal meson spectral functions in the infinite temperature (free field) limit. We compare spectral functions for various lattice fermion formulations used at present in studies of…

高能物理 - 格点 · 物理学 2009-11-10 S. Stickan , F. Karsch , E. Laermann , P. Petreczky

We present a Maximum Entropy method (MEM) for obtaining dynamical spectra from Quantum Monte Carlo data which have a sign problem. By relating the sign fluctuations to the norm of the spectra, our method properly treats the correlations…

统计力学 · 物理学 2007-05-23 A. Macridin , S. P. Doluweera , M. Jarrell , Th. Maier

Recent progress of lattice investigations in thermal physics is summarized in this contribution. Hadronic spectral functions can be reconstructed from correlation functions in Euclidean time based on the Maximum Entropy Method without a…

高能物理 - 格点 · 物理学 2007-05-23 Ines Wetzorke

We extract the spectral functions in the scalar, pseudo-scalar, vector, and axial vector channels above the deconfinement phase transition temperature (Tc) using the maximum entropy method (MEM). We use anisotropic lattices, 32^3 * 32, 40,…

高能物理 - 格点 · 物理学 2009-11-07 M. Asakawa , T. Hatsuda , Y. Nakahara

We investigate spectral functions extracted using the Maximum Entropy Method from correlators measured in lattice simulations of the (2+1)-dimensional four-fermion model. This model is particularly interesting because it has both a chirally…

高能物理 - 格点 · 物理学 2009-11-07 C. R. Allton , J. E. Clowser , S. J. Hands , J. B. Kogut , C. G. Strouthos

We discuss information on thermal modifications of hadron properties which can be extracted from the structure of Euclidean correlation functions of hadronic currents as well as more direct information obtained through the reconstruction of…

高能物理 - 唯象学 · 物理学 2009-11-07 F. Karsch , S. Datta , E. Laermann , P. Petreczky , S. Stickan , I. Wetzorke

We report on an improvement to the implementation of the Maximum Entropy Method (MEM). It amounts to departing from the search space obtained through a singular value decomposition (SVD) of the Kernel. Based on the shape of the SVD basis…

计算物理 · 物理学 2015-03-20 Alexander Rothkopf

Correlation functions provide information on the properties of mesons in vacuum and of hot nuclear matter. In this Letter, we present a new method to derive a well-defined spectral representation for correlation functions. Combining this…

核理论 · 物理学 2013-07-19 Si-xue Qin

Employing the maximum entropy method we extract the spectral functions from meson correlators at four lattice spacings in quenched QCD with the Wilson quark action. We confirm that the masses and decay constants, obtained from the position…

We calculate the thermal Euclidean correlators and the spectral functions of the energy-momentum tensor for pure gauge theories, including at non-zero spatial momentum, at leading order in perturbation theory. Our goal is to improve the…

高能物理 - 格点 · 物理学 2009-02-09 Harvey B. Meyer

We propose a method to calculate the QCD level density directly from the thermodynamic quantities obtained by lattice QCD simulations with the use of the maximum entropy method (MEM). Understanding QCD thermodynamics from QCD spectral…

高能物理 - 格点 · 物理学 2007-05-23 Shinji Ejiri , Tetsuo Hatsuda
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