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In this paper I construct the naive lattice Dirac Hamiltonian describing the propagation of fermions in a generic 2D optical metric for different lattice and flux-lattice geometries. First, I apply a top-down constructive approach that we…

Quantum Gases · Physics 2017-07-24 Alessio Celi

We investigate a recent proposal to construct chiral gauge theories on the lattice using domain wall fermions. We restrict ourselves to the finite volume case, in which two domain walls are present, with modes of opposite chirality on each…

High Energy Physics - Lattice · Physics 2009-10-22 Maarten F. L. Golterman , Karl Jansen , Donald N. Petcher , Jeroen C. Vink

I describe recent progress toward calculating hadronic interactions with Lattice QCD.

Nuclear Theory · Physics 2015-05-20 Martin J. Savage

This document is one of a series of whitepapers from the USQCD collaboration. Here, we discuss opportunities for lattice QCD calculations related to the structure and spectroscopy of hadrons and nuclei. An overview of recent lattice…

Quantum mechanics and relativity in the continuum imply the well known spin-statistics connection. However for particles hopping on a lattice, there is no such constraint. If a lattice model yields a relativistic field theory in a continuum…

High Energy Physics - Lattice · Physics 2015-06-16 Michael Creutz

A review of recent lattice calculations of nucleon structure and matrix elements of operators in nucleons is presented. It primarily covers developments in the calculation of the matrix elements of the scalar, tensor, pseudo-scalar,…

High Energy Physics - Lattice · Physics 2020-03-20 Tanmoy Bhattacharya , Rajan Gupta , Boram Yoon

The main strategies to reduce lattice artifacts for spin models, gauge fields, free fermions and QCD are discussed.

High Energy Physics - Lattice · Physics 2009-10-28 F. Niedermayer

The lattice gauge theory technique for non-perturbative calculations in QCD is reviewed. The extraction of the continuum limit of lattice results is discussed with particular examples appropriate to hadron spectroscopy (the light hadrons…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Michael

I will discuss recent developments in lattice studies of hadrons composed of heavy quarks. I will mostly cover topics which are at a state of direct comparison with experiment, but will also discuss new ideas and promising techniques to aid…

High Energy Physics - Lattice · Physics 2010-11-05 C. Aubin

If we construct a lattice fermion formulation, there are a number of goals to be considered: doubling should be avoided; even at finite lattice spacing, we want to represent chiral symmetry in a sound way; and we are seeking a good scaling…

High Energy Physics - Lattice · Physics 2007-05-23 W. Bietenholz

This write-up starts by introducing lattice chirality to people possessing a fairly modern mathematical background, but little prior knowledge about modern physics. I then proceed to present two new and speculative ideas.

High Energy Physics - Lattice · Physics 2007-05-23 Herbert Neuberger

The lattice QCD results on the hadron spectrum and weak transitions between hadrons are briefly reviewed. Hadrons containing heavy quarks c or b are considered. The focus is on the recent simulations and some older results which are…

High Energy Physics - Lattice · Physics 2017-08-02 Sasa Prelovsek

This review gives a critical assessment of the current state of lattice simulations of QCD thermodynamics and what it teaches us about hot hadronic matter. It outlines briefly lattice methods for studying QCD at nonzero temperature and zero…

High Energy Physics - Lattice · Physics 2010-01-21 Carleton DeTar

In a previous paper we considered the most general field equations for a system of two fermions of which one single-handed, showing that the spin-torsion interactions among these spinors had the same structure of the electroweak forces…

High Energy Physics - Theory · Physics 2012-12-06 Luca Fabbri

We discuss the lattice formulation of gauge theories with fermions in arbitrary representations of the color group, and present in detail the implementation of the HMC/RHMC algorithm for simulating dynamical fermions. We discuss the…

High Energy Physics - Lattice · Physics 2014-11-18 Luigi Del Debbio , Agostino Patella , Claudio Pica

Lattice QCD calculations have been conducted using large-scale classical computers based on the Lagrangian formalism of field theory for the past 40 years. On the other hand, the advent of quantum computers has brought increasing attention…

High Energy Physics - Lattice · Physics 2025-09-09 Etsuko Itou

I report on the state of hadronic physics and spectroscopy as reflected in contributions to the HEP2005 Europhysics Conference. Topics of interest include lattice field theory calculations of the hadron spectrum, the continuing quest to…

High Energy Physics - Phenomenology · Physics 2009-05-05 Chris Quigg

The effective residual interaction for a system of hadrons has a long tradition in theoretical physics. It has been mostly addressed in terms of boson exchange models. The aim of this review is to describe approaches based on lattice field…

High Energy Physics - Lattice · Physics 2007-05-23 H. Rudolf Fiebig , Harald Markum

We briefly review the status of our understanding of hadron structure based on QCD. This includes the role of symmetries, especially chiral symmetry, and the insights provided by lattice QCD. The main focus is on baryon structure and…

Nuclear Theory · Physics 2010-02-17 A. W. Thomas

Lattice QCD allows computations of moments of structure functions from first principles. An overview of the present status of the calculations is given. Recent results and future perspectives are discussed.

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefano Capitani
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