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High Energy Physics - Lattice

arXiv:hep-lat/0509011 (hep-lat)
[Submitted on 5 Sep 2005 (v1), last revised 14 Oct 2005 (this version, v2)]

Title:Lattice Gauge Fields Topology Uncovered by Quaternionic sigma-model Embedding

Authors:F.V.Gubarev, S.M.Morozov (ITEP, Moscow)
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Abstract: We investigate SU(2) gauge fields topology using new approach, which exploits the well known connection between SU(2) gauge theory and quaternionic projective sigma-models and allows to formulate the topological charge density entirely in terms of sigma-model fields. The method is studied in details and for thermalized vacuum configurations is shown to be compatible with overlap-based definition. We confirm that the topological charge is distributed in localized four dimensional regions which, however, are not compatible with instantons. Topological density bulk distribution is investigated at different lattice spacings and is shown to possess some universal properties.
Comments: revtex4, 19 pages (24 ps figures included); replaced to match the published version, to appear in PRD; minor changes, references added
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph)
Report number: ITEP-LAT/2005-16
Cite as: arXiv:hep-lat/0509011
  (or arXiv:hep-lat/0509011v2 for this version)
  https://doi.org/10.48550/arXiv.hep-lat/0509011
Journal reference: Phys.Rev. D72 (2005) 076008
Related DOI: https://doi.org/10.1103/PhysRevD.72.076008

Submission history

From: Fedor Gubarev V. [view email]
[v1] Mon, 5 Sep 2005 14:55:48 UTC (296 KB)
[v2] Fri, 14 Oct 2005 04:27:41 UTC (272 KB)
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