The local structure of topological charge fluctuations in QCD

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We introduce the Dirac eigenmode filtering of topological charge density associated with Ginsparg-Wilson fermions as a tool to investigate the local structure of topological charge fluctuations in QCD. The resulting framework is used to demonstrate that the bulk of topological charge in QCD does not appear in the form of unit quantized lumps. This means that the mixing of ''would-be'' zeromodes associated with such lumps is probably not the prevalent microscopic mechanism for spontaneous chiral symmetry breaking in QCD. To characterize the coherent local behavior in topological charge density at low energy, we compute the charges contained in maximal coherent ... continued below

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85 Kilobytes pages

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Horvath, I.; Dong, S.J.; Draper, T.; Lee, Frank; Liu, K.F.; Zhang, J.B. et al. June 1, 2002.

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We introduce the Dirac eigenmode filtering of topological charge density associated with Ginsparg-Wilson fermions as a tool to investigate the local structure of topological charge fluctuations in QCD. The resulting framework is used to demonstrate that the bulk of topological charge in QCD does not appear in the form of unit quantized lumps. This means that the mixing of ''would-be'' zeromodes associated with such lumps is probably not the prevalent microscopic mechanism for spontaneous chiral symmetry breaking in QCD. To characterize the coherent local behavior in topological charge density at low energy, we compute the charges contained in maximal coherent spheres enclosing non-overlapping peaks. We find a continuous distribution essentially ending at {approx}0.5. Finally, we study, for the first time, the overlap-operator topological-charge-density correlators and find consistency with non-positivity at nonzero physical distance. This represents a non-trivial check on the locality (in gauge paths) of the overlap Dirac operator for realistic gauge backgrounds.

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85 Kilobytes pages

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  • 20th International Symposium on Lattice Field Theory (LATTICE 2002), Boston, MA (US), 06/24/2002--06/29/2002

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  • Report No.: JLAB-THY-02-39
  • Report No.: DOE-ER/40150-2151
  • Report No.: hep-lat/0208031
  • Grant Number: AC05-84ER40150
  • Office of Scientific & Technical Information Report Number: 801036
  • Archival Resource Key: ark:/67531/metadc734127

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  • June 1, 2002

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  • Oct. 19, 2015, 7:39 p.m.

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  • Feb. 5, 2016, 9:48 p.m.

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Horvath, I.; Dong, S.J.; Draper, T.; Lee, Frank; Liu, K.F.; Zhang, J.B. et al. The local structure of topological charge fluctuations in QCD, article, June 1, 2002; Newport News, Virginia. (digital.library.unt.edu/ark:/67531/metadc734127/: accessed August 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.