skip to main content


Title: Locally smeared operator product expansions in scalar field theory

We propose a new locally smeared operator product expansion to decompose non-local 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 non-local 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.
 [1] ;  [2]
  1. College of William and Mary, Williamsburg, VA (United States)
  2. College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Publication Date:
Report Number(s):
JLAB/THY-15-2008; DOE/OR-23177-3290
Journal ID: ISSN 1550-7998; PRVDAQ; ArticleNumber: 074513
Grant/Contract Number:
FG02-04ER41302; AC05-06OR23177; NSF-PHY10-034278
Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 91; Journal Issue: 7; Journal ID: ISSN 1550-7998
American Physical Society (APS)
Research Org:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; quantum chromodynamics (QCD); euclidean lattices; scalar field theory; operator product expansion (OPE)
OSTI Identifier:
Alternate Identifier(s):
OSTI ID: 1178585