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In this work, we extend and apply effective field theory techniques to systematically understand a subset of lattice artifacts which pollute the lattice correlation functions for a few processes of physical interest. Where possible, we…

High Energy Physics - Lattice · Physics 2007-05-23 Andre Walker-Loud

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

This short review surveys phenomena observed when a magnetic field is applied to a system of localised spins on a lattice. Its focus is on frustrated magnets in dimension $d \geq 2$. The interplay of field and entropy is illustrated in the…

Strongly Correlated Electrons · Physics 2010-04-14 R. Moessner

We propose a method to expand correlation functions with respect to the spatial components of external momenta. From the coefficients of the expansion it is possible to extract Lorentz-invariant form factors at zero spatial momentum…

High Energy Physics - Lattice · Physics 2015-06-11 G. M. de Divitiis , R. Petronzio , N. Tantalo

We outline an approach to calculate the transverse-momentum-dependent distribution of linearly polarized gluons inside an unpolarized hadron on the lattice with the help of large momentum effective theory. To achieve this purpose, we…

High Energy Physics - Phenomenology · Physics 2024-02-02 Shuai Zhao

Point-to-point correlation functions of hadron currents in the QCD vacuum are calculated on a lattice and analyzed using dispersion relations, providing physical information down to small spatial separations. Qualitative agreement with…

High Energy Physics - Lattice · Physics 2008-11-26 M. -C. Chu , J. M. Grandy , S. Huang , J. W. Negele

We investigate the chiral properties of QCD in presence of a magnetic background field and in the low temperature regime, by lattice numerical simulations of N_f = 2 QCD. We adopt a standard staggered discretization, with a pion mass around…

High Energy Physics - Lattice · Physics 2011-07-04 Massimo D'Elia , Francesco Negro

Effective field theories provide a formalism for categorizing low-energy effects of a high-energy fundamental theory in terms of the low-energy degrees of freedom. This process has been well established in mapping the fundamental theory of…

High Energy Physics - Lattice · Physics 2015-03-17 Michael I. Buchoff

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

In the spacetime induced by a rotating cosmic string we compute the energy levels of a massive spinless particle coupled covariantly to a homogeneous magnetic field parallel to the string. Afterwards, we consider the addition of a scalar…

General Relativity and Quantum Cosmology · Physics 2016-10-12 M. S. Cunha , C. R. Muniz , H. R. Christiansen , V. B. Bezerra

The vast majority of hadrons observed in nature are not stable under the strong interaction, rather they are resonances whose existence is deduced from enhancements in the energy dependence of scattering amplitudes. The study of hadron…

High Energy Physics - Lattice · Physics 2018-05-09 Raul A. Briceno , Jozef J. Dudek , Ross D. Young

Rather than regarding the restriction of current lattice QCD simulations to quark masses that are 5--10 times larger than those observed, we note that this presents a wonderful opportunity to deepen our understanding of QCD. Just as it has…

Nuclear Theory · Physics 2010-05-28 W. Detmold , D. B. Leinweber , W. Melnitchouk , A. W. Thomas , S. V. Wright

The QCD coupling appears in the perturbative expansion of the current-current two-point (vacuum polarization) function. Any lattice calculation of vacuum polarization is plagued by several competing non-perturbative effects at small momenta…

High Energy Physics - Lattice · Physics 2015-10-19 Renwick J. Hudspith , Randy Lewis , Kim Maltman , Eigo Shintani

Spatially non-local matrix elements are useful lattice-QCD observables in a variety of contexts, for example in determining hadron structure. To quote credible estimates of the systematic uncertainties in these calculations, one must…

High Energy Physics - Lattice · Physics 2018-11-06 Raúl A. Briceño , Juan V. Guerrero , Maxwell T. Hansen , Christopher J. Monahan

We propose a variant of the model-independent method for determining meson charge radii from spatial moments of correlation functions on the lattice. Traditional determinations based on fits to the momentum transfer squared dependence of…

High Energy Physics - Lattice · Physics 2026-04-15 Kohei Sato , Hiromasa Watanabe , Takeshi Yamazaki

The QCD phase diagram is studied, at finite magnetic field. Our calculations are based on the QCD effective model, the SU($3$) Polyakov linear sigma model (PLSM), in which the chiral symmetry is integrated in the hadron phase and in the…

High Energy Physics - Phenomenology · Physics 2021-07-05 Abdel Nasser Tawfik , Abdel Magied Diab

In the literature it is assumed that the parton to hadron fragmentation function cannot be studied by using the lattice QCD method because of the sum over the (unobserved) outgoing hadronic states. However, in this paper we find that since…

General Physics · Physics 2019-04-09 Gouranga C Nayak

A method for computing electromagnetic properties of hadrons in lattice QCD is described and preliminary numerical results are presented. The electromagnetic field is introduced dynamically, using a noncompact formulation. Employing…

High Energy Physics - Lattice · Physics 2009-10-28 A. Duncan , E. Eichten , H. Thacker

Systems with the quantum numbers of up to twelve charged and neutral pseudoscalar mesons, as well as one-, two-, and three-nucleon systems, are studied using dynamical lattice quantum chromodynamics and quantum electrodynamics (QCD+QED)…

We study the string tension $\sigma$ of quantum chromodynamics (QCD) in external magnetic fields $B$ by combining the quasi-particle treatments for quarks with the collective treatments for gluons. We utilize the 1/Nc-expansion (Nc: number…

High Energy Physics - Phenomenology · Physics 2019-11-25 Gaoqing Cao , Toru Kojo