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High Energy Physics - Lattice

arXiv:hep-lat/0509069 (hep-lat)
[Submitted on 21 Sep 2005 (v1), last revised 2 Nov 2005 (this version, v2)]

Title:Lattice construction of Cho-Faddeev-Niemi decomposition and gauge invariant monopole

Authors:S. Kato, K.-I. Kondo, T. Murakami, A. Shibata, T. Shinohara, S. Ito
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Abstract: We present the first implementation of the Cho--Faddeev--Niemi decomposition of the SU(2) Yang-Mills field on a lattice. Our construction retains the color symmetry (global SU(2) gauge invariance) even after a new type of Maximally Abelian gauge, as explicitly demonstrated by numerical simulations. Moreover, we propose a gauge-invariant definition of the magnetic monopole current using this formulation and compare the new definition with the conventional one by DeGrand and Toussaint to exhibit its validity.
Comments: 12 pages, 3 figures, (v2)corrected typos,version to appear in Phys. Lett. B
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph)
Report number: CHIBA-EP-155, KEK Preprint 2005-61
Cite as: arXiv:hep-lat/0509069
  (or arXiv:hep-lat/0509069v2 for this version)
  https://doi.org/10.48550/arXiv.hep-lat/0509069
Journal reference: Phys.Lett. B632 (2006) 326-332
Related DOI: https://doi.org/10.1016/j.physletb.2005.10.089

Submission history

From: Seikou Kato [view email]
[v1] Wed, 21 Sep 2005 06:19:49 UTC (72 KB)
[v2] Wed, 2 Nov 2005 00:43:43 UTC (72 KB)
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