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Hadronic spectral densities are important quantities whose non-perturbative knowledge allows for calculating phenomenologically relevant observables, such as inclusive hadronic cross-sections and non-leptonic decay-rates. The extraction of…

High Energy Physics - Lattice · Physics 2019-06-05 Martin Hansen , Alessandro Lupo , Nazario Tantalo

We show how to compute electromagnetic polarizabilities of charged hadrons using four-point functions in lattice QCD. The low-energy behavior of Compton scattering amplitude is matched to matrix elements of current-current correlation…

High Energy Physics - Lattice · Physics 2022-01-03 Walter Wilcox , Frank X. Lee

Progress by the Lattice Hadron Physics Collaboration in determining the baryon and meson resonance spectrum of QCD using Monte Carlo methods with space-time lattices is described. The extraction of excited-state energies necessitates the…

High Energy Physics - Lattice · Physics 2017-08-23 K. J. Juge , A. Lichtl , C. Morningstar , R. G. Edwards , D. G. Richards , S. Basak , S. Wallace , I. Sato , G. T. Fleming

The spontaneous breaking of chiral symmetry in QCD is known to be linked to a non-zero density of eigenvalues of the massless Dirac operator near the origin. Numerical studies of two-flavour QCD now suggest that the low quark modes are…

High Energy Physics - Lattice · Physics 2008-11-26 Martin Lüscher

There exists a large field for phenomenological models in which the knowledge of the structure of hadrons in terms of QCD constituents obtained from deep inelastic scatterings is related to their behaviour in soft processes. One of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Nyiri

We study operators to create hadronic states made of light quarks in quenched lattice gauge theory. We construct non-local gauge-invariant operators which provide information about the spatial extent of the ground state and excited states.…

High Energy Physics - Lattice · Physics 2008-11-26 P. Lacock , A. McKerrell , C. Michael , I. M. Stopher , P. W. Stephenson

A new approach to formulate the fermion field on lattice is introduced by proposing a new Dirac operator on lattice.This approach can eliminate the Fermion doubling problem, preserve the chiral symmetry and get the same dispersion relation…

High Energy Physics - Lattice · Physics 2007-05-23 Bo Feng , Jianming Li , Xingchang Song

The intention of these lecture notes is to outline the basics of lattice hadron spectroscopy to students from other fields of physics, e.g. from experimental particle physics, who do not necessarily have a background in quantum field…

High Energy Physics - Lattice · Physics 2013-10-08 Johannes Weber , Stefan Diehl , Till Kuske , Marc Wagner

Lattice QCD with staggered quarks is augmented by the addition of a chiral 4-fermion interaction. The Dirac operator is now non-singular at $m_q=0$, decreasing the computing requirements for light quark simulations by at least an order of…

High Energy Physics - Lattice · Physics 2014-11-17 J. B. Kogut , D. K. Sinclair

We have extended our program of QCD simulations with an improved Kogut-Susskind quark action to a smaller lattice spacing, approximately 0.09 fm. Also, the simulations with a approximately 0.12 fm have been extended to smaller quark masses.…

High Energy Physics - Lattice · Physics 2008-11-26 C. Aubin , C. Bernard , C. DeTar , Steven Gottlieb , E. B. Gregory , U. M. Heller , J. E. Hetrick , J. Osborn , R. Sugar , D. Toussaint

Lattice simulations of hadronic structure are now reaching a level where they are able to not only complement, but also provide guidance to current and forthcoming experimental programmes at, e.g. Jefferson Lab, COMPASS/CERN and FAIR/GSI.…

High Energy Physics - Lattice · Physics 2010-11-05 M. Göckeler , Ph. Hägler , R. Horsley , Y. Nakamura , D. Pleiter , P. E. L. Rakow , A. Schäfer , G. Schierholz , H. Stüben , J. M. Zanotti

The issues involved in a determination of the baryon resonance spectrum in lattice QCD are discussed. The variational method is introduced and the need to construct a sufficient basis of interpolating operators is emphasised. The…

High Energy Physics - Lattice · Physics 2008-11-26 S. Basak , R. G. Edwards , G. T. Fleming , U. M. Heller , A. Lichtl , C. Morningstar , D. G. Richards , I. Sato , S. Wallace

Applying domain decomposition to the lattice Dirac operator and the associated quark propagator, we arrive at expressions which, with the proper insertion of random sources therein, can provide improvement to the estimation of the…

High Energy Physics - Lattice · Physics 2008-11-26 Tommy Burch , Christian Hagen

We discuss all-to-all quark propagator techniques in two (related) contexts within Lattice QCD: the computation of closed quark propagators, and applications to the so-called "eye diagrams" appearing in the computation of non-leptonic kaon…

High Energy Physics - Lattice · Physics 2016-07-08 Eric Endress , Carlos Pena , Karthee Sivalingam

The master-field approach to lattice QCD envisions performing calculations on a small number of large-volume gauge-field configurations. Substantial progress has been made recently in the generation of such fields, and this must be joined…

High Energy Physics - Lattice · Physics 2022-11-22 Marco Cè , Mattia Bruno , John Bulava , Anthony Francis , Patrick Fritzsch , Jeremy R. Green , Maxwell T. Hansen , Antonio Rago

Similarly to the interaction lagrangian, the possible boundary conditions in quantum field theories on space-time manifolds with boundaries are strongly constrained by the symmetry and scaling properties of the theory. Based on this general…

High Energy Physics - Lattice · Physics 2009-11-11 Martin Lüscher

The design and implementation of large sets of spatially extended baryon operators for use in lattice simulations are described. The operators are constructed to maximize overlaps with the low-lying states of interest, while minimizing the…

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

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 2011-11-04 John Bulava , Justin Foley , You-Cyuan Jhang , Keisuke J. Juge , David Lenkner , Colin Morningstar , Chik Him Wong

Numerical studies of lattice quantum field theories are conducted in finite spatial volumes, typically with cubic symmetry in the spatial coordinates. Motivated by these studies, this work presents a general algorithm to construct…

High Energy Physics - Lattice · Physics 2024-03-04 William Detmold , William I. Jay , Gurtej Kanwar , Phiala E. Shanahan , Michael L. Wagman

We present a new exact algorithm for estimating all elements of the quark propagator. The advantage of the method is that the exact all-to-all propagator is reproduced in a large but finite number of inversions. The efficacy of the…

High Energy Physics - Lattice · Physics 2007-05-23 Alan O Cais , K. Jimmy Juge , Mike J. Peardon , Sinead M. Ryan , Jon-Ivar Skullerud