Massive photons: An infrared regularization scheme for lattice $\mathrm{QCD}+\mathrm{QED}$
Abstract
The commonly adopted approach for including electromagnetic interactions in lattice QCD simulations relies on using finite volume as the infrared regularization for QED. The longrange nature of the electromagnetic interaction, however, implies that physical quantities are susceptible to powerlaw finite volume corrections, which must be removed by performing costly simulations at multiple lattice volumes, followed by an extrapolation to the infinite volume limit. In this work, we introduce a photon mass as an alternative means for gaining control over infrared effects associated with electromagnetic interactions. We present findings for hadron mass shifts due to electromagnetic interactions (i.e., for the proton, neutron, charged and neutral kaon) and corresponding mass splittings, and compare the results with those obtained from conventional QCD+QED calculations. Results are reported for numerical studies of three flavor electroquenched QCD using ensembles corresponding to 800 MeV pions, ensuring that the only appreciable volume corrections arise from QED effects. The calculations are performed with three lattice volumes with spatial extents ranging from 3.4  6.7 fm. As a result, we find that for equal computing time (not including the generation of the lattice configurations), the electromagnetic mass shifts can be extracted from computations on a single (our smallest) lattice volumemore »
 Authors:

 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
 Forschungszentrum Julich, Julich (Germany)
 The City College of New York, New York, NY (United States); The City Univ. of New York, New York, NY (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
 College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
 Publication Date:
 Research Org.:
 Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Nuclear Physics (NP)
 OSTI Identifier:
 1313754
 Alternate Identifier(s):
 OSTI ID: 1288988; OSTI ID: 1379556
 Report Number(s):
 JLABTHY152112; DOE/OR/231773477; arXiv:1507.08916
Journal ID: ISSN 00319007; PRLTAO
 Grant/Contract Number:
 SC0010495; AC0506OR23177; SC0012180; PHY1515738; AC0205CH11231
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review Letters
 Additional Journal Information:
 Journal Volume: 117; Journal Issue: 7; Journal ID: ISSN 00319007
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Endres, Michael G., Shindler, Andrea, Tiburzi, Brian C., and WalkerLoud, Andre. Massive photons: An infrared regularization scheme for lattice QCD+QED. United States: N. p., 2016.
Web. https://doi.org/10.1103/PhysRevLett.117.072002.
Endres, Michael G., Shindler, Andrea, Tiburzi, Brian C., & WalkerLoud, Andre. Massive photons: An infrared regularization scheme for lattice QCD+QED. United States. https://doi.org/10.1103/PhysRevLett.117.072002
Endres, Michael G., Shindler, Andrea, Tiburzi, Brian C., and WalkerLoud, Andre. Wed .
"Massive photons: An infrared regularization scheme for lattice QCD+QED". United States. https://doi.org/10.1103/PhysRevLett.117.072002. https://www.osti.gov/servlets/purl/1313754.
@article{osti_1313754,
title = {Massive photons: An infrared regularization scheme for lattice QCD+QED},
author = {Endres, Michael G. and Shindler, Andrea and Tiburzi, Brian C. and WalkerLoud, Andre},
abstractNote = {The commonly adopted approach for including electromagnetic interactions in lattice QCD simulations relies on using finite volume as the infrared regularization for QED. The longrange nature of the electromagnetic interaction, however, implies that physical quantities are susceptible to powerlaw finite volume corrections, which must be removed by performing costly simulations at multiple lattice volumes, followed by an extrapolation to the infinite volume limit. In this work, we introduce a photon mass as an alternative means for gaining control over infrared effects associated with electromagnetic interactions. We present findings for hadron mass shifts due to electromagnetic interactions (i.e., for the proton, neutron, charged and neutral kaon) and corresponding mass splittings, and compare the results with those obtained from conventional QCD+QED calculations. Results are reported for numerical studies of three flavor electroquenched QCD using ensembles corresponding to 800 MeV pions, ensuring that the only appreciable volume corrections arise from QED effects. The calculations are performed with three lattice volumes with spatial extents ranging from 3.4  6.7 fm. As a result, we find that for equal computing time (not including the generation of the lattice configurations), the electromagnetic mass shifts can be extracted from computations on a single (our smallest) lattice volume with comparable or better precision than the conventional approach.},
doi = {10.1103/PhysRevLett.117.072002},
journal = {Physical Review Letters},
number = 7,
volume = 117,
place = {United States},
year = {2016},
month = {8}
}
Web of Science
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