Document Type
Article
Department/Program
Physics
Journal Title
Physical Review D
Pub Date
4-2015
Volume
91
Issue
7
Abstract
We propose a new locally smeared operator product expansion to decompose nonlocal operators in terms of a basis of smeared operators. The smeared operator product expansion formally connects nonperturbative matrix elements determined numerically using lattice field theory to matrix elements of nonlocal operators in the continuum. These nonperturbative matrix elements do not suffer from power-divergent mixing on the lattice, which significantly complicates calculations of quantities such as the moments of parton distribution functions, provided the smearing scale is kept fixed in the continuum limit. The presence of this smearing scale complicates the connection to the Wilson coefficients of the standard operator product expansion and requires the construction of a suitable formalism. We demonstrate the feasibility of our approach with examples in real scalar field theory.
Recommended Citation
Monahan, Christopher J. and Orginos, Kostas, Locally smeared operator product expansions in scalar field theory (2015). Physical Review D, 91(7).
https://doi.org/10.1103/PhysRevD.91.074513
DOI
https://doi.org/10.1103/PhysRevD.91.074513
