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

Feb 2, 2021

12 pages

Published in:

Phys.Rev.D 103 (2021) 9, 094521

Published: May 28, 2021

e-Print:

2102.01814 [hep-lat]

DOI:

10.1103/PhysRevD.103.094521

Report number:

JLAB-THY-21-3315

View in:

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Abstract: (APS)

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 nonperturbatively 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.

Note:

15 pages, 5 figures

Lattice field theories, lattice QCD
finite size: effect
correction: finite size
dimension: 2
operator: nonlocal
dimension: 4
form factor
effective field theory
infrared
lattice

References(62)

Figures(5)

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