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We discuss a method to construct hadronic scattering and decay amplitudes from Euclidean correlators, by combining the approach of a regulated inverse Laplace transform with the work of Maiani and Testa. Revisiting the original result, we…

高能物理 - 格点 · 物理学 2021-06-30 Mattia Bruno , Maxwell T. Hansen

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

By (a) using an expression for the LATTICE potential of QCD in terms of a CONTINUUM running coupling and (b) globally parameterizing this coupling to interpolate between 2- (or higher-) loop QCD in the UV and the flux tube prediction in the…

高能物理 - 格点 · 物理学 2009-10-28 Timothy R. Klassen

I review the recent progress made in calculating shear and bulk viscosity on the lattice, and discuss ways to improve the calculation.

高能物理 - 格点 · 物理学 2009-01-14 Harvey B. Meyer

The cooling algorithm for saddle points presented in ref. [1] is generalized to obtain static classical solutions of the SU(2)-Higgs field theory in the limit of infinite Higgs self-coupling. The sphaleron energy obtained via this algorithm…

高能物理 - 格点 · 物理学 2009-10-28 Margarita Garcia Perez , Pierre van Baal

In lattice QCD spectrum calculations, it is desirable to obtain multiple excited state energies in each symmetry channel. Typically, one constructs several interpolating operators for the symmetry channel of interest, forms the `correlator…

高能物理 - 格点 · 物理学 2008-11-26 Adam C. Lichtl

The extraction of the light hadron spectrum from a first-principle Quantum Chromodynamics approach is a profound application for lattice simulations of Quantum Chromodynamics. This review will cover recent lattice results for the masses and…

高能物理 - 格点 · 物理学 2015-03-13 Enno E. Scholz

I summarize recent lattice results on QCD at finite temperatures and densities. Studies on the nature of the QCD transition at the physical point, continuum extra polations of thermodynamic quantities, and new calculations of hadronic…

高能物理 - 唯象学 · 物理学 2009-11-07 Kazuyuki Kanaya

In this paper, we consider the discrete fourth-order Schr\"{o}dinger equation on the lattice $h\mathbb{Z}^2$. Uniform Strichartz estimates are established by analyzing frequency localized oscillatory integrals with the method of stationary…

偏微分方程分析 · 数学 2025-01-22 Jiawei Cheng , Bobo Hua

Recent results of lattice QCD at finite temperature and density are reviewed. At vanishing density the transition temperature, the equation of state and hadron properties are discussed both for the pure gauge theory and for dynamical…

高能物理 - 格点 · 物理学 2009-11-10 S. D. Katz

In this proceeding, we explain a few steps for an alternative extraction of the spectral density of a two-point function (propagator) based on a discrete set of data points. We present a so-called Tikhonov regularization of this particular…

高能物理 - 格点 · 物理学 2013-01-15 D. Dudal , O. Oliveira , P. J. Silva

Lattice QCD calculations of hadron structure are a valuable complement to many experimental programs as well as an indispensable tool to understand the dynamics of QCD. I present a focused review of a few representative topics chosen to…

高能物理 - 格点 · 物理学 2010-02-05 Dru B. Renner

Inclusive hadronic decays of the $\tau$ lepton are very interesting from the phenomenological point of view since they give access to the CKM matrix elements $V_{ud}$ and $V_{us}$. In this paper, for the first time, by employing the HLT…

We propose a new method to compute the running coupling constant of gauge theories on the lattice. We first give the definition of the running coupling in the new scheme using the Wilson loops in a finite volume, and explain how the running…

A novel method to calculate f_B on the lattice is introduced, based on the study of the dependence of finite size effects upon the heavy quark mass of flavoured mesons and on a non-perturbative recursive finite size technique. We avoid the…

高能物理 - 格点 · 物理学 2009-11-07 M. Guagnelli , F. Palombi , R. Petronzio , N. Tantalo

A covariant field theoretical approach to deep inelastic scattering on the deuteron is presented. The deuteron structure function is calculated in terms of the Bethe-Salpeter amplitude. Numerical calculations for the nucleon contribution…

核理论 · 物理学 2011-07-19 A. Yu. Umnikov , L. P. Kaptari , K. Yu. Kazakov , F. C. Khanna

The extraction of the finite temperature heavy quark potential from lattice QCD relies on a spectral analysis of the real-time Wilson loop. Through its position and shape, the lowest lying spectral peak encodes the real and imaginary part…

高能物理 - 格点 · 物理学 2013-10-02 Yannis Burnier , Alexander Rothkopf

In this talk, we present the first chiral extrapolation of a resonant scattering amplitude obtained from lattice QCD. Finite-volume spectra, determined by the Hadron Spectrum Collaboration at $m_\pi = 236$ MeV, for the isotriplet $\pi\pi$…

核理论 · 物理学 2016-06-22 Daniel R. Bolton , Raúl A. Briceño , David J. Wilson

The forward Compton amplitude describes the process of virtual photon scattering from a hadron and provides an essential ingredient for the understanding of hadron structure. As a physical amplitude, the Compton tensor naturally includes…

Point-to-point vacuum correlation functions for spatially separated hadron currents are calculated in quenched lattice QCD on a $16^3\times 24$ lattice with $6/g^2=5.7$. The lattice data are analyzed in terms of dispersion relations, which…

高能物理 - 格点 · 物理学 2008-11-26 M. -C. Chu , J. M. Grandy , S. Huang , J. W. Negele