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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

Recently, a framework was developed for studying form factors of two-body states probed with an external current. Finite volume matrix elements that may be computed via lattice QCD are converted to infinite volume generalized form factors.…

High Energy Physics - Lattice · Physics 2019-10-03 Andrew W. Jackura

We derive generalisations of the Weingarten--Witten QCD mass inequalities for particular multi-hadron systems. For systems of any number of identical pseudo-scalar mesons of maximal isospin, these inequalities prove that interactions…

High Energy Physics - Phenomenology · Physics 2015-06-10 William Detmold

Now that Lattice QCD calculations are beginning to include QED, it is important to better understand how hadronic properties are modified by finite-volume QED effects. They are known to exhibit power-law scaling with volume, in contrast to…

High Energy Physics - Lattice · Physics 2014-10-07 Zohreh Davoudi , Martin J. Savage

Lattice QCD simulations tend to become stuck in a single topological sector at fine lattice spacing or when using chirally symmetric overlap quarks. In such cases physical observables differ from their full QCD counterparts by finite volume…

High Energy Physics - Lattice · Physics 2014-10-16 Arthur Dromard , Marc Wagner

We perform a detailed investigation of multiple hard interactions in hadron-hadron collisions. We discuss the space-time, spin and color structure of multiple interactions, classify different contributions according to their power behavior…

High Energy Physics - Phenomenology · Physics 2016-02-19 Markus Diehl , Daniel Ostermeier , Andreas Schafer

Finite density systems can be explored with Lattice QCD through the calculation of multi-hadron correlation functions. Recently, systems with up to 12 $\pi^+$'s or $K^+$'s have been studied to determine the 3-$\pi^+$ and 3-$K^+$…

High Energy Physics - Lattice · Physics 2010-08-16 William Detmold , Martin J. Savage

Search for a proper and realistic equation of state (EOS) for strongly interacting matter used in the study of the QCD phase diagram still appears as a challenging problem. Recently, we constructed a hybrid model description for the quark…

High Energy Physics - Phenomenology · Physics 2013-05-20 P. K. Srivastava , C. P. Singh

Pionless effective field theory in a finite volume (FVEFT$_{\pi\!/}$) is investigated as a framework for the analysis of multi-nucleon spectra and matrix elements calculated in lattice QCD (LQCD). By combining FVEFT$_{\pi\!/}$ with the…

Nuclear Theory · Physics 2021-04-21 W. Detmold , P. E. Shanahan

I give an overview of efforts in the last year to calculate interactions among hadrons using lattice QCD. Results discussed include the extraction of low-energy phase shifts and three-body interactions, and the study of pion and kaon…

High Energy Physics - Lattice · Physics 2010-04-15 Silas R. Beane

We study the kinetic and chemical equilibration in 'infinite' parton-hadron matter within the Parton-Hadron-String Dynamics transport approach, which is based on a dynamical quasiparticle model for partons matched to reproduce lattice-QCD…

A relation is presented between single-hadron long-range matrix elements defined in a finite Euclidean spacetime, and the corresponding infinite-volume Minkowski amplitudes. This relation is valid in the kinematic region where any number of…

High Energy Physics - Lattice · Physics 2020-02-05 Raúl A. Briceño , Zohreh Davoudi , Maxwell T. Hansen , Matthias R. Schindler , Alessandro Baroni

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 present a model-independent calculation of hadron matrix elements for all dimension-six operators associated with baryon number violating processes using lattice QCD. The calculation is performed with the Wilson quark action in the…

The ab-initio understanding of hadronic three-body systems above threshold, such as exotic resonances or the baryon spectrum, requires the mapping of the finite-volume eigenvalue spectrum, produced in lattice QCD calculations, to the…

High Energy Physics - Lattice · Physics 2019-02-20 Maxim Mai , Michael Doring

We derive formalism for determining $\textbf{2} + \mathcal J \to \textbf{2}$ infinite-volume transition amplitudes from finite-volume matrix elements. Specifically, we present a relativistic, model-independent relation between finite-volume…

High Energy Physics - Lattice · Physics 2016-07-20 Raúl A. Briceño , Maxwell T. Hansen

Highlights from recent computations in lattice QCD involving baryons are presented. Calculations of the proton mass and spin decompositions are discussed, a percent level determination of the nucleon axial coupling is described, and…

Nuclear Theory · Physics 2019-09-19 Colin Morningstar

The rigorous treatment of four-particle intermediate and final states poses a major challenge for lattice calculations of scattering and decay amplitudes, as well as long-distance matrix elements. As a step towards addressing these…

High Energy Physics - Lattice · Physics 2026-03-26 Rajnandini Mukherjee , Maxwell T. Hansen

We explain how masses and matrix elements can be computed in lattice QCD using Schr"odinger functional boundary conditions. Numerical results in the quenched approximation demonstrate that good precision can be achieved. For a statistical…

High Energy Physics - Lattice · Physics 2015-06-25 Marco Guagnelli , Jochen Heitger , Rainer Sommer , Hartmut Wittig

The presence of long-range interactions violates a condition necessary to relate the energy of two particles in a finite volume to their S-matrix elements in the manner of Luscher. While in infinite volume, QED contributions to low-energy…

High Energy Physics - Lattice · Physics 2014-11-05 Silas R. Beane , Martin J. Savage