Effects of nonequilibrated topological charge distributions on pseudoscalar meson masses and decay constants
AffiliationUniv Arizona, Dept Phys
MetadataShow full item record
PublisherAMER PHYSICAL SOC
CitationBernard, C., & Toussaint, D. (2018). Effects of nonequilibrated topological charge distributions on pseudoscalar meson masses and decay constants. Physical Review D, 97(7), 074502.
JournalPHYSICAL REVIEW D
RightsPublished by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license.
Collection InformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at firstname.lastname@example.org.
AbstractWe study the effects of failure to equilibrate the squared topological charge Q(2) on lattice calculations of pseudoscalar masses and decay constants. The analysis is based on chiral perturbation theory calculations of the dependence of these quantities on the QCD vacuum angle theta. For the light-light partially quenched case, we rederive the known chiral perturbation theory results of Aoki and Fukaya, but using the nonperturbatively valid chiral theory worked out by Golterman, Sharpe and Singleton, and by Sharpe and Shoresh. We then extend these calculations to heavy-light mesons. Results when staggered taste violations are important are also presented. The derived Q(2) dependence is compared to that of simulations using the MILC Collaboration's ensembles of lattices with four flavors of dynamical highly improved staggered quarks. We find agreement, albeit with large statistical errors. These results can be used to correct for the leading effects of unequilibrated Q(2), or to make estimates of the systematic error coming from the failure to equilibrate Q(2). In an appendix, we show that the partially quenched chiral theory may be extended beyond a lower bound on valence masses discovered by Sharpe and Shoresh. Subtleties occurring when a sea-quark mass vanishes are discussed in another appendix.
VersionFinal published version
SponsorsOffice of Science of the U.S. Department of Energy; Office of Science of the U.S. Department of Energy [DE-AC02-05CH11231]; Innovative and Novel Computational Impact on Theory and Experiment (INCITE) program; DOE Office of Science User Facility [DE-AC02-06CH11357]; National Science Foundation [OCI-0725070, ACI-1238993, 0832315, 1615006, ACI-1548562]; State of Illinois; NSF MRI Grant [CNS-0421498, CNS-0420873, CNS-0420985]; NSF sponsorship of the National Center for Atmospheric Research; IBM Shared University Research (SUR) program