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The numerical computation of many hadronic correlation functions is exceedingly difficult due to the exponentially decreasing signal-to-noise ratio with the distance between source and sink. Multilevel integration methods, using independent…

High Energy Physics - Lattice · Physics 2017-03-08 Marco Cè , Leonardo Giusti , Stefan Schaefer

This chapter provides a pedagogical introduction to theoretical studies of hadrons based on the fundamental theory of strong interactions - Quantum ChromoDynamics. A perturbative expansion in the strong coupling is not applicable at…

High Energy Physics - Lattice · Physics 2025-05-16 Sasa Prelovsek

Perturbative estimates of operator coefficients for improved lattice actions are becoming increasingly important for precision simulations of many hadronic observables. Following previous work by Dimm, Lepage, and Mackenzie, we consider the…

High Energy Physics - Lattice · Physics 2009-10-30 Howard D. Trottier , G. Peter Lepage

Our goal is to provide precise effective operators for monolayer graphene at Fermi energy. We consider the microscopic potential created by a lattice, and add a macroscopic potential with the same periodicity but varying at a scale…

Mathematical Physics · Physics 2026-02-24 Louis Garrigue

The hadron mass spectrum is calculated in lattice QCD using a novel fat-link clover fermion action in which only the irrelevant operators in the fermion action are constructed using smeared links. The simulations are performed on a 16^3 x…

We propose improved estimators to compute the reweighting factors which are needed for lattice QCD calculations that rely on twisted-mass reweighting for the light quark contribution and the Rational Hybrid Monte Carlo (RHMC) algorithm for…

High Energy Physics - Lattice · Physics 2024-03-19 Simon Kuberski

This review concentrates on progress in lattice QCD during the last two years and, particularly, its impact on phenomenology. The two main technical developments have been successful implementations of lattice actions with exact chiral…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. D. Kenway

We report on the first successful QCD multigrid algorithm which demonstrates constant convergence rates independent of quark mass and lattice volume for the Wilson Dirac operator. The new ingredient is the adaptive method for constructing…

High Energy Physics - Lattice · Physics 2010-04-15 Ronald Babich , James Brannick , Richard C. Brower , Michael A. Clark , Saul D. Cohen , James C. Osborn , Claudio Rebbi

The magnetic fields generated in non-central heavy-ion collisions are among the strongest fields produced in the Universe, reaching magnitudes comparable to the scale of the strong interactions. Backed by model simulations, the resulting…

High Energy Physics - Lattice · Physics 2021-11-29 B. B. Brandt , F. Cuteri , G. Endrődi , G. Markó , A. D. M. Valois

By trapping cold polarizable atoms in periodic potentials created by crossed laser beams, it is now possible to experimentally create "clean" lattice systems. Experimentalists have successfully engineered local and nearest-neighbor…

High Energy Physics - Lattice · Physics 2012-02-09 Y. Meurice

We calculate in three-flavor lattice QCD the short-distance hadronic matrix elements of all five $\Delta C=2$ four-fermion operators that contribute to neutral $D$-meson mixing both in and beyond the Standard Model. We use the MILC…

We have used Fortran 90 to implement lattice QCD. We have designed a set of machine independent modules that define fields (gauge, fermions, scalars, etc...) and overloaded operators for all possible operations between fields, matrices and…

High Energy Physics - Lattice · Physics 2009-10-28 I. Dasgupta , A. R. Levi , V. Lubicz , C. Rebbi

Gauge link smearing is widely used in lattice QCD computations. The idea is to remove the local (UV) fluctuations of the gauge field configurations while keeping the longer-range (IR) properties intact. Important applications are in the…

High Energy Physics - Lattice · Physics 2011-05-03 F. Geles , C. B. Lang

We numerically study QCD with a single quark flavour on the lattice probing predictions from effective field theories that are equivalent to minimal super-symmetric Yang-Mills theory in the large $N_c$ limit. The hadronic spectrum including…

High Energy Physics - Lattice · Physics 2021-11-25 Michele Della Morte , Benjamin Jäger , Francesco Sannino , J. Tobias Tsang , Felix P. G. Ziegler

In these proceedings we address the computation of quark-line disconnected diagrams in lattice QCD. The evaluation of these diagrams is required for many phenomenologically interesting observables, but suffers from large statistical errors…

High Energy Physics - Lattice · Physics 2020-01-27 Leonardo Giusti , Tim Harris , Alessandro Nada , Stefan Schaefer

The lattice formulation provides a way to regularize, define and compute the Path Integral in a Quantum Field Theory. In this paper we review the theoretical foundations and the most basic algorithms required to implement a typical lattice…

High Energy Physics - Lattice · Physics 2009-11-11 Massimo Di Pierro

We present results from a lattice hadron spectrum calculation using three flavors of dynamical quarks - two light and one strange, and quenched simulations for comparison. These simulations were done using a one-loop Symanzik improved gauge…

Streamline-based quad meshing algorithms use smooth cross fields to partition surfaces into quadrilateral regions by tracing cross field separatrices. In practice, re-entrant corners and misalignment of singularities lead to small regions…

Computational Geometry · Computer Science 2019-08-06 Ryan Viertel , Braxton Osting , Matthew Staten

New extended interpolating operators made of quenched three dimensional fermions are introduced in the context of lattice QCD. The mass of the 3D fermions can be tuned in a controlled way to find a better overlap of the extended operators…

High Energy Physics - Lattice · Physics 2018-11-28 Mauro Papinutto , Francesco Scardino , Stefan Schaefer

The construction of baryonic operators for determining the N* excitation spectrum is discussed. The operators are designed with one eye towards maximizing overlaps with the low-lying states of interest, and the other eye towards minimizing…

High Energy Physics - Lattice · Physics 2014-11-17 LHP Collaboration , R. Edwards , R. Fiebig , G. Fleming , U. M. Heller , C. Morningstar , D. Richards , I. Sato , S. Wallace
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