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We introduce an alternative discretization for static quarks on the lattice retaining the O(a) improvement properties of the Eichten-Hill action. In this formulation, statistical fluctuations are reduced by a factor which grows…

High Energy Physics - Lattice · Physics 2008-11-26 M. Della Morte , S. Durr , J. Heitger , H. Molke , J. Rolf , A. Shindler , R. Sommer

We report an attempt to calculate the deep inelastic scattering structure functions from the hadronic tensor calculated on the lattice. We used the Backus-Gilbert reconstruction method to address the inverse Laplace transformation for the…

High Energy Physics - Lattice · Physics 2018-04-18 Jian Liang , Keh-Fei Liu , Yi-Bo Yang

We present preliminary results for the correlation- and spectral functions of different meson channels on the lattice. The main focus lies on gaining control over cut-off as well as on the finite-volume effects. Extrapolations of screening…

High Energy Physics - Lattice · Physics 2010-12-13 S. Wissel , S. Datta , F. Karsch , E. Laermann , S. Shcheredin

We demonstrate that lattice QCD calculations can be made $10^3$--$10^6$ times faster by using very coarse lattices. To obtain accurate results, we replace the standard lattice actions by perturbatively-improved actions with tadpole-improved…

High Energy Physics - Lattice · Physics 2009-10-28 M. Alford , W. Dimm , G. P. Lepage , G. Hockney , P. B. Mackenzie

This guide contains a collection of the tips, tricks, and techniques that we have found to be useful when performing very large, correlated Bayesian fits of two, and three-point correlation functions for semileptonic decays, in this case…

High Energy Physics - Lattice · Physics 2024-10-02 W. G. Parrott

I review recent approaches to constructing supersymmetric lattice theories focusing in particular on the concept of topological twisting. The latter technique is shown to expose a nilpotent, scalar supersymmetry which can be implemented…

High Energy Physics - Lattice · Physics 2017-09-07 Simon Catterall

We use a discrete worldline representation in order to study the continuum limit of the one-loop expectation value of dimension two and four local operators in a background field. We illustrate this technique in the case of a scalar field…

High Energy Physics - Phenomenology · Physics 2015-04-13 Thomas Epelbaum , Francois Gelis , Bin Wu

We develop a diagrammatic approach for calculating the high temperature expansion of dynamic correlation functions, such as the electron Green's function and the time-dependent density-density and spin-spin correlation functions, for the…

Strongly Correlated Electrons · Physics 2013-10-15 Edward Perepelitsky

We propose a method for calculating dynamical correlation functions at finite temperature in integrable lattice models of Yang-Baxter type. The method is based on an expansion of the correlation functions as a series over matrix elements of…

Statistical Mechanics · Physics 2020-08-04 Frank Göhmann , Michael Karbach , Andreas Klümper , Karol K. Kozlowski , Junji Suzuki

Lattice QCD has reached a mature status. State of the art lattice computations include $u,d,s$ (and even the $c$) sea quark effects, together with an estimate of electromagnetic and isospin breaking corrections for hadronic observables.…

High Energy Physics - Lattice · Physics 2021-06-30 Luigi Del Debbio , Alberto Ramos

A vanishing Yukawa coupling of the up quark could in principle solve the strong CP problem. To render this solution consistent with current algebra results, the up quark must receive an alternative mass contribution that conserves CP…

High Energy Physics - Lattice · Physics 2021-12-02 Constantia Alexandrou , Jacob Finkenrath , Lena Funcke , Karl Jansen , Bartosz Kostrzewa , Ferenc Pittler , Carsten Urbach

The computational cost required to calculate nuclear correlation functions grows factorially in the number of quarks, making the study of large nuclei inaccessible to ab initio study using lattice QCD at the present time. However, the…

High Energy Physics - Lattice · Physics 2022-01-13 Nabil Humphrey , William Detmold , Ross D. Young , James M. Zanotti

We discuss the analyticity properties of the Wilson--loop correlation functions relevant to the problem of soft high-energy scattering, directly at the level of the functional integral, in a genuinely nonperturbative way.

High Energy Physics - Phenomenology · Physics 2010-05-11 M. Giordano , E. Meggiolaro

We analyze the static and dynamical properties of a one-dimensional topological lattice, the fermionic Su-Schrieffer-Heeger model, in the presence of on-site interactions. Based on a study of charge and spin correlation functions, we…

Quantum Gases · Physics 2018-06-06 L. Barbiero , L. Santos , N. Goldman

We present a natural reverse Minkowski-type inequality for lattices, which gives upper bounds on the number of lattice points in a Euclidean ball in terms of sublattice determinants, and conjecture its optimal form. The conjecture exhibits…

Metric Geometry · Mathematics 2016-06-23 Daniel Dadush , Oded Regev

In lattice simulations one generally projects correlators over zero spatial momentum to calculate masses and related spectral data. The sum over space lattice points, however, discards information which may be useful especially in the…

High Energy Physics - Lattice · Physics 2019-01-09 Claudio Rebbi

To avoid instabilities in the continuum semi-classical limit of loop quantum cosmology models, refinement of the underlying lattice is necessary. The lattice refinement leads to new dynamical difference equations which, in general, do not…

General Relativity and Quantum Cosmology · Physics 2008-12-18 William Nelson , Mairi Sakellariadou

I review the study of real (Minkowski) time correlators in hot, weakly coupled Yang-Mills theory via lattice methods. I concentrate on the Minkowski time topological susceptibility, which is related to the efficiency of baryon number…

High Energy Physics - Lattice · Physics 2015-06-25 Guy D. Moore

We present a novel simulation prescription for thermal quantum fields on a lattice that operates directly in imaginary frequency space. By distinguishing initial conditions from quantum dynamics it provides access to correlation functions…

High Energy Physics - Lattice · Physics 2018-02-01 Jan Pawlowski , Alexander Rothkopf

We emphasize the importance of choosing an appropriate correlation function to reduce numerical errors in calculating the linear-response function as a Fourier transformation of a time-dependent correlation function. As an example we take…

Statistical Mechanics · Physics 2009-10-30 Toshiaki Iitaka
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