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Title: Locally-smeared operator product expansions

Abstract

We propose a "locally-smeared Operator Product Expansion" (sOPE) to decompose non-local operators in terms of a basis of locally-smeared operators. The sOPE formally connects nonperturbative matrix elements of smeared degrees of freedom, determined numerically using the gradient flow, to non-local operators in the continuum. The nonperturbative matrix elements do not suffer from power-divergent mixing on the lattice, provided the smearing scale is kept fixed in the continuum limit. The presence of this smearing scale prevents a simple connection to the standard operator product expansion and therefore requires the construction of a two-scale formalism. We demonstrate the feasibility of our approach using the example of real scalar field theory.

Authors:
;
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1177477
Report Number(s):
JLAB-THY-14-1974; DOE/OR/23177-3206; arXiv:1410.3393
DOE Contract Number:  
AC05-06OR23177
Resource Type:
Conference
Resource Relation:
Journal Name: Proceedings of Science; Journal Volume: LATTICE2014; Conference: Lattice 2014, 23-28 Jun 2014. Brookhaven, NY, USA
Country of Publication:
United States
Language:
English

Citation Formats

Monahan, Christopher, and Orginos, Kostantinos. Locally-smeared operator product expansions. United States: N. p., 2014. Web.
Monahan, Christopher, & Orginos, Kostantinos. Locally-smeared operator product expansions. United States.
Monahan, Christopher, and Orginos, Kostantinos. Mon . "Locally-smeared operator product expansions". United States. https://www.osti.gov/servlets/purl/1177477.
@article{osti_1177477,
title = {Locally-smeared operator product expansions},
author = {Monahan, Christopher and Orginos, Kostantinos},
abstractNote = {We propose a "locally-smeared Operator Product Expansion" (sOPE) to decompose non-local operators in terms of a basis of locally-smeared operators. The sOPE formally connects nonperturbative matrix elements of smeared degrees of freedom, determined numerically using the gradient flow, to non-local operators in the continuum. The nonperturbative matrix elements do not suffer from power-divergent mixing on the lattice, provided the smearing scale is kept fixed in the continuum limit. The presence of this smearing scale prevents a simple connection to the standard operator product expansion and therefore requires the construction of a two-scale formalism. We demonstrate the feasibility of our approach using the example of real scalar field theory.},
doi = {},
journal = {Proceedings of Science},
number = ,
volume = LATTICE2014,
place = {United States},
year = {Mon Dec 01 00:00:00 EST 2014},
month = {Mon Dec 01 00:00:00 EST 2014}
}

Conference:
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