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Using the maximum entropy method, spectral functions of the pseudo-scalar and vector mesons are extracted from lattice Monte Carlo data of the imaginary time Green's functions. The resonance and continuum structures as well as the ground…

High Energy Physics - Lattice · Physics 2015-06-25 Y. Nakahara , M. Asakawa , T. Hatsuda

QCD spectral functions of hadrons in the pseudo-scalar and vector channels are extracted from lattice Monte Carlo data of the imaginary time Green's functions. The maximum entropy method works well for this purpose, and the resonance and…

High Energy Physics - Lattice · Physics 2009-12-30 Y. Nakahara , M. Asakawa , T. Hatsuda

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…

High Energy Physics - Lattice · Physics 2009-10-31 M. Asakawa , T. Hatsuda , Y. Nakahara

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…

High Energy Physics - Phenomenology · Physics 2015-03-17 Philipp Gubler , Makoto Oka

Different methods for extracting resonance parameters from Euclidean lattice field theory are tested. Monte Carlo simulations of the O(4) non-linear sigma model are used to generate energy spectra in a range of different volumes both below…

High Energy Physics - Lattice · Physics 2013-04-16 Pietro Giudice , Darran McManus , Mike Peardon

It is shown how to apply the Maximum Entropy Method (MEM) to numerical Dyson-Schwinger studies for the extraction of spectral functions of correlators from their corresponding Euclidean propagators. Differences to the application in lattice…

High Energy Physics - Phenomenology · Physics 2008-11-26 Dominik Nickel

A novel method for extracting physical parameters from experimental and simulation data is presented. The method is based on statistical concepts and it relies on Monte Carlo simulation techniques. It identifies and determines with maximal…

High Energy Physics - Phenomenology · Physics 2012-05-31 C. N. Papanicolas , E. Stiliaris

The Maximum Entropy Method is applied to dynamical fermion simulations of the (2+1)-dimensional Nambu-Jona-Lasinio model. This model is particularly interesting because at T=0 it has a broken phase with a rich spectrum of mesonic bound…

High Energy Physics - Lattice · Physics 2015-06-25 Jonathan Clowser , Costas Strouthos

An extended two-hadron operator is developed to extract the spectra of irreducible representations (irreps) in the finite volume. The irreps of the group for the finite volume system are projected using a coordinate-space operator. The…

High Energy Physics - Lattice · Physics 2022-05-04 Jia-Jun Wu , Waseem Kamleh , Derek B. Leinweber , Yan Li , Gerrit Schierholz , Ross D. Young , James M. Zanotti

We present a novel approach to the inference of spectral functions from Euclidean time correlator data that makes close contact with modern Bayesian concepts. Our method differs significantly from the maximum entropy method (MEM). A new set…

High Energy Physics - Lattice · Physics 2013-11-13 Yannis Burnier , Alexander Rothkopf

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…

High Energy Physics - Lattice · Physics 2007-05-23 Takashi Umeda , Hideo Matsufuru

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…

High Energy Physics - Lattice · Physics 2009-11-07 C. R. Allton , J. E. Clowser , S. J. Hands , J. B. Kogut , C. G. Strouthos

We calculate spectral functions associated with hadronic current correlation functions for vector and pseudoscalar currents at finite temperature. We make use of the Nambu--Jona--Lasinio (NJL) model with temperature-dependent coupling…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hu Li , C. M. Shakin , Qing Sun

We apply the maximum entropy method to extract the spectral functions for pseudoscalar and vector mesons from hadron correlators previously calculated at four different lattice spacings in quenched QCD with the Wilson quark action. We…

We introduce a Monte Carlo method, as a modification of existing cluster algorithms, which allows simulations directly on systems of infinite size, and for quantum models also at beta=infinity. All two-point functions can be obtained,…

Statistical Mechanics · Physics 2007-05-23 H. G. Evertz , W. von der Linden

Monte Carlo simulations of the 4d O(4) model in the broken phase are performed to determine the parameters of a resonance. The standard method for extracting them on the lattice is through L\"uscher's formula; recently a new method, based…

High Energy Physics - Lattice · Physics 2011-01-25 Pietro Giudice , Darran McManus , Mike Peardon

The prospects of extracting transport coefficients from euclidean lattice simulations are discussed. Some general comments on the reconstruction of spectral functions using the Maximal Entropy Method are given as well.

High Energy Physics - Lattice · Physics 2009-11-07 Gert Aarts , Jose M. Martinez Resco

We present a novel method to determine on the lattice both the real and imaginary parts of complex electroweak amplitudes involving two external currents and a single hadron or the QCD vacuum in the external states. The method is based on…

High Energy Physics - Lattice · Physics 2023-06-13 R. Frezzotti , G. Gagliardi , V. Lubicz , F. Sanfilippo , S. Simula , N. Tantalo

The spectral representation separates the contributions of geometrical arrangement (topology) and intrinsic constituent properties in a composite. The aim of paper is to present a numerical algorithm based on the Monte Carlo integration and…

Other Condensed Matter · Physics 2007-05-23 Enis Tuncer

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…

High Energy Physics - Lattice · Physics 2009-11-07 H. Rudolf Fiebig
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