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A significant component of the cost of making predictions from lattice QCD stems from the computation of correlation functions on a given ensemble of gauge fields. This cost depends on the observable of interest and the details of its…

High Energy Physics - Lattice · Physics 2026-05-04 Tim Harris

Partially twisted boundary conditions are widely used for improving the momentum resolution in lattice computations of hadronic correlation functions. The method is however expensive since every additional twist requires computing…

High Energy Physics - Lattice · Physics 2021-12-17 Nils Asmussen , Alessandro Barone , Andreas Jüttner

We present a general class of unbiased improved estimators for physical observables in lattice gauge theory computations which significantly reduces statistical errors at modest computational cost. The error reduction techniques, referred…

High Energy Physics - Lattice · Physics 2013-11-13 Thomas Blum , Taku Izubuchi , Eigo Shintani

We present a new method for reducing the stochastic noise of all-to-all propagators based on stopping the inversion of the propagator before convergence. The method is easy to implement, unbiased and independent of the quark action.…

High Energy Physics - Lattice · Physics 2010-01-18 S. Collins , G. Bali , A. Schäfer

Progress in computing the spectrum of excited baryons and mesons in lattice QCD is described. Large sets of spatially-extended hadron operators are used. The need for multi-hadron operators in addition to single-hadron operators is…

High Energy Physics - Lattice · Physics 2015-05-30 Colin Morningstar , John Bulava , Justin Foley , You-Cyuan Jhang , Keisuke Juge , David Lenkner , Chik Him Wong

We discuss and compare the efficiency of various methods, combinations of point-to-all propagators, stochastic timeslice-to-all propagators, the one-end trick and sequential propagators, to compute two-point correlation functions of…

High Energy Physics - Lattice · Physics 2017-10-11 Abdou Abdel-Rehim , Constantia Alexandrou , Joshua Berlin , Mattia Dalla Brida , Jacob Finkenrath , Marc Wagner

Progress in computing the spectrum of excited baryons and mesons in lattice QCD is described. Large sets of spatially-extended hadron operators are used. A new method of stochastically estimating the low-lying effects of quark propagation…

High Energy Physics - Lattice · Physics 2015-05-27 C. Morningstar , A. Bell , J. Bulava , J. Foley , K. J. Juge , D. Lenkner , C. H. Wong

We develop strategies for enhancing the signal/noise ratio for stochastically sampled correlation functions. The techniques are general and offer a wide range of applicability. We demonstrate the potential of the approach with a generic…

High Energy Physics - Lattice · Physics 2014-08-27 William Detmold , Michael G. Endres

This is the first part of a study of the quark propagator and the vertex function of the vector current on the lattice in the Landau gauge and using both Wilson-clover and overlap actions. In order to be able to identify lattice artifacts…

High Energy Physics - Lattice · Physics 2016-08-16 Ph. Boucaud , F. de Soto , J. P. Leroy , A. Le Yaouanc , J. Micheli , H. Moutarde , O. Pène , J. Rodríguez-Quintero

A systematic way to constructing optimized interpolating operators for two-hadron systems is developed by incorporating inter-hadron spatial wavefunctions. The wavefunctions can be obtained from an iterative process with an appropriate…

High Energy Physics - Lattice · Physics 2025-07-15 Yan Lyu , Sinya Aoki , Takumi Doi , Tetsuo Hatsuda , Kotaro Murakami , Takuya Sugiura

Noise subtraction techniques can help reduce the statistical uncertainty in the extraction of hard to detect signals. We describe new noise subtraction methods in Lattice QCD which apply to disconnected diagram evaluations. Some of the…

High Energy Physics - Lattice · Physics 2016-11-08 Suman Baral , Walter Wilcox , Ronald B. Morgan

In this talk we discuss a novel method, that we have presented in Ref. [1], to extract hadronic spectral densities from lattice correlators by using deep learning techniques. Hadronic spectral densities play a crucial role in the study of…

High Energy Physics - Lattice · Physics 2024-01-12 Michele Buzzicotti , Alessandro De Santis , Nazario Tantalo

Several new developments in the calculation and interpretation of hadron density-density correlation functions are presented. The asymptotic behavior of correlation functions is determined from a tree diagram path integral. A method is…

High Energy Physics - Lattice · Physics 2009-09-25 J. W. Negele , M. Burkardt , J. M. Grandy

We explore the possibility of computing fermionic correlators on the lattice by combining a domain decomposition with a multi-level integration scheme. The quark propagator is expanded in series of terms with a well defined hierarchical…

High Energy Physics - Lattice · Physics 2016-05-18 Marco Cè , Leonardo Giusti , Stefan Schaefer

We propose a method to substantially improve the signal-to-noise ratio of lattice correlation functions for bosonic operators or other operator combinations with disconnected contributions. The technique is applicable for correlations…

High Energy Physics - Lattice · Physics 2022-05-23 Luis Altenkort , Alexander M. Eller , O. Kaczmarek , Lukas Mazur , Guy D. Moore , H. -T. Shu

The effectiveness of various dilution schemes in the evaluation of baryonic two-point functions is compared. The error of a representative set of observables as a function of the number of Dirac matrix inversions is used as a basis for…

High Energy Physics - Lattice · Physics 2010-01-21 John Bulava , Robert Edwards , Colin Morningstar

Progress in extracting excited-state baryon masses in lattice QCD using large sets of spatially-extended operators is presented. The use of stochastic estimates of all-to-all quark propagators with variance reduction techniques is…

High Energy Physics - Lattice · Physics 2019-08-13 Colin Morningstar

The lattice technique of studying the strong interaction of matter is used to obtain predictions of the hadronic spectrum. These simulations were performed by the UKQCD collaboration using full (unquenched) QCD. Details of the results, a…

High Energy Physics - Lattice · Physics 2009-10-31 C. R. Allton

We propose a method to reconstruct smeared spectral functions from two-point correlation functions measured on the Euclidean lattice. Arbitrary smearing function can be considered as far as it is smooth enough to allow an approximation…

High Energy Physics - Lattice · Physics 2020-05-06 Gabriela Bailas , Shoji Hashimoto , Tsutomu Ishikawa

The quark propagator is at the core of lattice hadron spectrum calculations as well as studies in other nonperturbative schemes. We investigate the quark propagator with an improved staggered action (Asqtad) and an improved gluon action,…

High Energy Physics - Lattice · Physics 2010-03-04 P. O. Bowman , U. M. Heller , D. B. Leinweber , A. G. Williams