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Title: Locally-smeared operator product expansions

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.
Publication Date:
OSTI Identifier:
Report Number(s):
JLAB-THY-14-1974; DOE/OR/23177-3206; arXiv:1410.3393
DOE Contract Number:
Resource Type:
Resource Relation:
Journal Name: Proceedings of Science; Journal Volume: LATTICE2014; Conference: Lattice 2014, 23-28 Jun 2014. Brookhaven, NY, USA
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