A model-independent framework for determining finite-volume effects of spatially nonlocal operators

Abstract

We present a model-independent framework to determine finite-volume corrections of matrix elements of spatially-separated current-current operators. We define these matrix elements in terms of Compton-like amplitudes, i.e. amplitudes coupling single-particle states via two current insertions. We show that the infrared behavior of these matrix elements is dominated by the single-particle pole, which is approximated by the elastic form factors of the lowest-lying hadron. Therefore, given lattice data on the relevant elastic form factors, the finite-volume effects can be estimated non-perturbatively and without recourse to effective field theories. For illustration purposes, we investigate the implications of the proposed formalism for a class of scalar theories in two and four dimensions.

arXiv comment15 pages, 5 figures

References in corpus (53)

• Deeply Virtual Compton Scattering
• Unraveling hadron structure with generalized parton distributions
• Parton Physics on Euclidean Lattice
• Scaling Limit of Deeply Virtual Compton Scattering
• Quasi-PDFs, momentum distributions and pseudo-PDFs
• Scattering processes and resonances from lattice QCD
• Nucleon structure from mixed action calculations using 2+1 flavors of asqtad sea and domain wall valence fermions
• Exploring hadrons' partonic structure using ab initio lattice QCD calculations
• GPD phenomenology and DVCS fitting - Entering the high-precision era
• Extracting Parton Distribution Functions from Lattice QCD Calculations
• A guide to light-cone PDFs from Lattice QCD: an overview of approaches, techniques and results
• Lattice QCD and Three-particle Decays of Resonances
• Gluon gravitational form factors of the nucleon and the pion from lattice QCD
• Pion Valence Structure from Ioffe Time Pseudo-Distributions
• Lattice QCD and the Timelike Pion Form Factor
• Multichannel one-to-two transition amplitudes in a finite volume
• Nucleon Charges and Electromagnetic Form Factors from 2+1+1-Flavor Lattice QCD
• Nonperturbative Evolution of Parton Quasi-Distributions
• Nucleon form factors with 2+1 flavor dynamical domain-wall fermions
• Nucleon electromagnetic form factors on the lattice and in chiral effective field theory
• Multichannel 0-to-2 and 1-to-2 transition amplitudes for arbitrary spin particles in a finite volume
• Unpolarized and helicity generalized parton distributions of the proton within lattice QCD
• Axial Vector Form Factors of the Nucleon from Lattice QCD
• Axial Vector Form Factors from Lattice QCD that Satisfy the PCAC Relation
• Nucleon axial form factors using lattice QCD simulations with a physical value of the pion mass
• Axial Nucleon form factors from lattice QCD
• Pion valence quark distribution from current-current correlation in lattice QCD
• Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point
• Pion generalized parton distribution from lattice QCD
• Up, down, and strange nucleon axial form factors from lattice QCD
• The nucleon electromagnetic form factors from Lattice QCD
• Nucleon Electromagnetic Form Factors from Lattice QCD using 2+1 Flavor Domain Wall Fermions on Fine Lattices and Chiral Perturbation Theory
• Parton Distribution Functions from Ioffe time pseudo-distributions
• Deeply Virtual Meson Production on the nucleon
• Moments of nucleon generalized parton distributions from lattice QCD simulations at physical pion mass
• Nucleon form factors on a large volume lattice near the physical point in 2+1 flavor QCD
• Nucleon electromagnetic form factors in two-flavour QCD
• Magnetic form factors of the octet baryons from lattice QCD and chiral extrapolation
• Electromagnetic form factors at large momenta from lattice QCD
• Nucleon Electromagnetic Form Factors in the Continuum Limit from 2+1+1-flavor Lattice QCD
• Dirac and Pauli form factors from lattice QCD
• The role of the Euclidean signature in lattice calculations of quasi-distributions and other non-local matrix elements
• Electric form factors of the octet baryons from lattice QCD and chiral extrapolation
• Finite-volume effects due to spatially non-local operators
• Theory and applications of parton pseudodistributions
• Nucleon generalized form factors from two-flavor lattice QCD
• Long-range electroweak amplitudes of single hadrons from Euclidean finite-volume correlation functions
• QCD Factorization and PDFs from Lattice QCD Calculation
• Finite-volume effects in $(g-2{)}_{\mu }^{\text{HVP,LO}}$
• The pseudoscalar meson electromagnetic form factor at high $Q^2$ from full lattice QCD
• Finite-volume and thermal effects in the leading-HVP contribution to muonic $(g-2)$
• Strange electromagnetic form factors of the nucleon with $N_f=2+1$ $\mathcal{O}(a)$-improved Wilson fermions
• Unravelling High-Energy Hadron Structures with Lattice QCD