Locally smeared operator product expansions in scalar field theory
Abstract
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.
- Authors:
-
- 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)
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1178567
- Alternate Identifier(s):
- OSTI ID: 1178585
- 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
- Resource Type:
- 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
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; quantum chromodynamics (QCD); euclidean lattices; scalar field theory; operator product expansion (OPE)
Citation Formats
Monahan, Christopher, and Orginos, Kostas. Locally smeared operator product expansions in scalar field theory. United States: N. p., 2015.
Web. doi:10.1103/PhysRevD.91.074513.
Monahan, Christopher, & Orginos, Kostas. Locally smeared operator product expansions in scalar field theory. United States. https://doi.org/10.1103/PhysRevD.91.074513
Monahan, Christopher, and Orginos, Kostas. Wed .
"Locally smeared operator product expansions in scalar field theory". United States. https://doi.org/10.1103/PhysRevD.91.074513. https://www.osti.gov/servlets/purl/1178567.
@article{osti_1178567,
title = {Locally smeared operator product expansions in scalar field theory},
author = {Monahan, Christopher and Orginos, Kostas},
abstractNote = {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.},
doi = {10.1103/PhysRevD.91.074513},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 7,
volume = 91,
place = {United States},
year = {Wed Apr 01 00:00:00 EDT 2015},
month = {Wed Apr 01 00:00:00 EDT 2015}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 25 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Review of Particle Physics
journal, July 2012
- Beringer, J.; Arguin, J. -F.; Barnett, R. M.
- Physical Review D, Vol. 86, Issue 1
Foundations of Perturbative QCD
book, May 2011
- Collins, John
- Cambridge Monographs on Particle Physics, Nuclear Physics, and Cosmology
PDF dependence of Higgs cross sections at the Tevatron and LHC: response to recent criticism
journal, August 2011
- Thorne, R. S.; Watt, G.
- Journal of High Energy Physics, Vol. 2011, Issue 8
NNLO benchmarks for gauge and Higgs boson production at TeV hadron colliders
journal, February 2011
- Alekhin, S.; Blümlein, J.; Jimenez-Delgado, P.
- Physics Letters B, Vol. 697, Issue 2
Higher-order constraints on the Higgs production rate from fixed-target DIS data
journal, August 2011
- Alekhin, S.; Blümlein, J.; Moch, S.
- The European Physical Journal C, Vol. 71, Issue 8
Impact of PDF uncertainties at large x on heavy boson production
journal, June 2012
- Brady, L. T.; Accardi, A.; Melnitchouk, W.
- Journal of High Energy Physics, Vol. 2012, Issue 6
Constraints on spin-dependent parton distributions at large x from global QCD analysis
journal, November 2014
- Jimenez-Delgado, P.; Avakian, H.; Melnitchouk, W.
- Physics Letters B, Vol. 738
Impact of hadronic and nuclear corrections on global analysis of spin-dependent parton distributions
journal, February 2014
- Jimenez-Delgado, P.; Accardi, A.; Melnitchouk, W.
- Physical Review D, Vol. 89, Issue 3
Unbiased determination of polarized parton distributions and their uncertainties
journal, September 2013
- Ball, Richard D.; Forte, Stefano; Guffanti, Alberto
- Nuclear Physics B, Vol. 874, Issue 1
QCD analysis of polarized DIS and the SIDIS asymmetry world data and light sea-quark decomposition
journal, February 2014
- Arbabifar, F.; Khorramian, Ali N.; Soleymaninia, M.
- Physical Review D, Vol. 89, Issue 3
Global parton distributions with nuclear and finite- corrections
journal, May 2013
- Owens, J. F.; Accardi, A.; Melnitchouk, W.
- Physical Review D, Vol. 87, Issue 9
Uncertainties in determining parton distributions at large
journal, July 2011
- Accardi, A.; Melnitchouk, W.; Owens, J. F.
- Physical Review D, Vol. 84, Issue 1
Determination of polarized parton densities from a QCD analysis of inclusive and semi-inclusive deep inelastic scattering data
journal, December 2010
- Leader, Elliot; Sidorov, Aleksander V.; Stamenov, Dimiter B.
- Physical Review D, Vol. 82, Issue 11
QCD analysis of polarized deep inelastic scattering data
journal, December 2010
- Blümlein, Johannes; Böttcher, Helmut
- Nuclear Physics B, Vol. 841, Issue 1-2
Determination of gluon polarization from deep inelastic scattering and collider data
journal, May 2009
- Hirai, M.; Kumano, S.
- Nuclear Physics B, Vol. 813, Issue 1-2
from lattice QCD at nearly physical quark masses
journal, September 2012
- Bali, Gunnar S.; Collins, Sara; Deka, Mridupawan
- Physical Review D, Vol. 86, Issue 5
Nucleon distribution amplitudes and proton decay matrix elements on the lattice
journal, February 2009
- Braun, Vladimir M.; Göckeler, Meinulf; Horsley, Roger
- Physical Review D, Vol. 79, Issue 3
Non-perturbative pion matrix element of a twist-2 operator from the lattice
journal, March 2005
- ,
- The European Physical Journal C-Particles and Fields, Vol. 40, Issue 1, p. 69-80
Extraction of Parton Distributions from Lattice qcd
journal, December 2003
- Detmold, W.; Melnitchouk, W.; Thomas, A. W.
- Modern Physics Letters A, Vol. 18, Issue 38
Parton distributions from lattice QCD
journal, August 2001
- Detmold, W.; Melnitchouk, W.; Thomas, A. W.
- EPJ direct, Vol. 3, Issue 1
Parton Physics on a Euclidean Lattice
journal, June 2013
- Ji, Xiangdong
- Physical Review Letters, Vol. 110, Issue 26
Parton physics from large-momentum effective field theory
journal, May 2014
- Ji, XiangDong
- Science China Physics, Mechanics & Astronomy, Vol. 57, Issue 7
Flavor structure of the nucleon sea from lattice QCD
journal, March 2015
- Lin, Huey-Wen; Chen, Jiunn-Wei; Cohen, Saul D.
- Physical Review D, Vol. 91, Issue 5
Analytic smearing of link variables in lattice QCD
journal, March 2004
- Morningstar, Colin; Peardon, Mike
- Physical Review D, Vol. 69, Issue 5
Flavor symmetry and the static potential with hypercubic blocking
journal, July 2001
- Hasenfratz, Anna; Knechtli, Francesco
- Physical Review D, Vol. 64, Issue 3
Perturbation Theory for Fat-link Fermion Actions
journal, March 2000
- Bernard, C.
- Nuclear Physics B - Proceedings Supplements, Vol. 83-84, Issue 1-3
Glueball masses and string tension in lattice QCD
journal, June 1987
- Albanese, M.; Costantini, F.; Fiorentini, G.
- Physics Letters B, Vol. 192, Issue 1-2
Quantum Chromodynamics on the Lattice
book, January 2010
- Gattringer, Christof; Lang, Christian B.
- Lecture Notes in Physics
Chiral symmetry and the Yang-Mills gradient flow
journal, April 2013
- Lüscher, Martin
- Journal of High Energy Physics, Vol. 2013, Issue 4
Perturbative analysis of the gradient flow in non-abelian gauge theories
journal, February 2011
- Lüscher, Martin; Weisz, Peter
- Journal of High Energy Physics, Vol. 2011, Issue 2
Properties and uses of the Wilson flow in lattice QCD
journal, August 2010
- Lüscher, Martin
- Journal of High Energy Physics, Vol. 2010, Issue 8
Infinite N phase transitions in continuum Wilson loop operators
journal, March 2006
- Narayanan, Rajamani; Neuberger, Herbert
- Journal of High Energy Physics, Vol. 2006, Issue 03
Renormalizability of the gradient flow in the 2D O(N) non-linear sigma model
journal, January 2015
- Makino, H.; Suzuki, H.
- Progress of Theoretical and Experimental Physics, Vol. 2015, Issue 3
Restoration of rotational symmetry in the continuum limit of lattice field theories
journal, September 2012
- Davoudi, Zohreh; Savage, Martin J.
- Physical Review D, Vol. 86, Issue 5
High-precision scale setting in lattice QCD
journal, September 2012
- Borsányi, Szabolcs; Dürr, Stephan; Fodor, Zoltán
- Journal of High Energy Physics, Vol. 2012, Issue 9
The lattice gradient flow at tree-level and its improvement
journal, September 2014
- Fodor, Zoltan; Holland, Kieran; Kuti, Julius
- Journal of High Energy Physics, Vol. 2014, Issue 9
Improving the continuum limit of gradient flow step scaling
journal, May 2014
- Cheng, Anqi; Hasenfratz, Anna; Liu, Yuzhi
- Journal of High Energy Physics, Vol. 2014, Issue 5
The Yang-Mills gradient flow in finite volume
journal, November 2012
- Fodor, Zoltan; Holland, Kieran; Kuti, Julius
- Journal of High Energy Physics, Vol. 2012, Issue 11
Step scaling and the Yang-Mills gradient flow
journal, June 2014
- Lüscher, Martin
- Journal of High Energy Physics, Vol. 2014, Issue 6
Energy–momentum tensor from the Yang–Mills gradient flow
journal, August 2013
- Suzuki, Hiroshi
- Progress of Theoretical and Experimental Physics, Vol. 2013, Issue 8
Space-time symmetries and the Yang-Mills gradient flow
journal, November 2013
- Del Debbio, L.; Patella, A.; Rago, A.
- Journal of High Energy Physics, Vol. 2013, Issue 11
Lattice energy-momentum tensor from the Yang-Mills gradient flow--inclusion of fermion fields
journal, June 2014
- Makino, H.; Suzuki, H.
- Progress of Theoretical and Experimental Physics, Vol. 2014, Issue 6
Comparison of the gradient flow with cooling in pure gauge theory
journal, May 2014
- Bonati, Claudio; D’Elia, Massimo
- Physical Review D, Vol. 89, Issue 10
Thermodynamics of gauge theory from gradient flow on the lattice
journal, July 2014
- Asakawa, Masayuki; Hatsuda, Tetsuo; Itou, Etsuko
- Physical Review D, Vol. 90, Issue 1
The Operator Product Expansion Converges in Perturbative Field Theory
journal, March 2012
- Hollands, Stefan; Kopper, Christoph
- Communications in Mathematical Physics, Vol. 313, Issue 1
Four loop anomalous dimensions of gradient operators in ${\phi^4}$ theory
journal, April 1998
- Derkachov, S. É.; Gracey, J. A.; Manashov, A. N.
- The European Physical Journal C, Vol. 2, Issue 3
A numerical method to compute the running coupling in asymptotically free theories
journal, July 1991
- Lüscher, Martin; Weisz, Peter; Wolff, Ulli
- Nuclear Physics B, Vol. 359, Issue 1
New lattice approaches to the rule
journal, March 1998
- Dawson, C.; Martinelli, G.; Rossi, G. C.
- Nuclear Physics B, Vol. 514, Issue 1-2
Deep-inelastic scattering and the operator product expansion in lattice QCD
journal, January 2006
- Detmold, William; Lin, C. -J. David
- Physical Review D, Vol. 73, Issue 1
Matching lattice and continuum four-fermion operators with nonrelativistic QCD and highly improved staggered quarks
journal, September 2014
- Monahan, Christopher; Gámiz, Elvira; Horgan, Ron
- Physical Review D, Vol. 90, Issue 5
Works referencing / citing this record:
Flow equation for the large N scalar model and induced geometries
journal, August 2016
- Aoki, Sinya; Balog, Janos; Onogi, Tetsuya
- Progress of Theoretical and Experimental Physics, Vol. 2016, Issue 8
Gluon quasidistribution function at one loop
journal, February 2018
- Wang, Wei; Zhao, Shuai; Zhu, Ruilin
- The European Physical Journal C, Vol. 78, Issue 2
Gluon quasidistribution function at one loop
text, January 2017
- Wang, Wei; Zhao, Shuai; Zhu, Ruilin
- arXiv
Renormalization of Wilson-line operators in the presence of nonzero quark masses
text, January 2018
- Spanoudes, G.; Panagopoulos, H.
- arXiv