Locally smeared operator product expansions in scalar field theory

Monahan, Christopher; Orginos, Kostas

doi:10.1103/PhysRevD.91.074513

Title: Locally smeared operator product expansions in scalar field theory

Journal Article · Wed Apr 01 00:00:00 EDT 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.91.074513· OSTI ID:1178567

Monahan, Christopher ^[1]; Orginos, Kostas ^[2]

College of William and Mary, Williamsburg, VA (United States)
College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)

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.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: FG02-04ER41302; AC05-06OR23177; NSF-PHY10-034278

OSTI ID:: 1178567

Alternate ID(s):: OSTI ID: 1178585

Report Number(s):: JLAB/THY-15-2008; DOE/OR-23177-3290; PRVDAQ; ArticleNumber: 074513

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 91, Issue 7; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 25 works

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