Modified lattice Landau gauge
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(Published version)
Date
2007
Authors
Von Smekal, L.
Mehta, D.
Sternbeck, A.
Williams, A.
Editors
Bali, G.
Braun, V.
Gattringer, C.
Gockeler, M.
Schafer, A.
Weisz, P.
Wettig, T.
Braun, V.
Gattringer, C.
Gockeler, M.
Schafer, A.
Weisz, P.
Wettig, T.
Advisors
Journal Title
Journal ISSN
Volume Title
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Conference paper
Citation
Proceedings of Science, 2007; PoS(LATTICE 2007): 382/1-382/7.
Statement of Responsibility
Lorenz von Smekal, Dhagash Mehta, André Sternbeck and Anthony G. Williams
Conference Name
International Symposium on Lattice Field Theory (25th : 2007 : Regensburg, Germany)
Abstract
We propose a modified lattice Landau gauge based on stereographically projecting the link variables on the circle S¹→R for compact U(1) or the 3-sphere S³→R³ for SU(2) before imposing the Landau gauge condition. This can reduce the number of Gribov copies exponentially and solves the Gribov problem in compact U(1) where it is a lattice artifact. Applied to the maximal Abelian subgroup this might be just enough to avoid the perfect cancellation amongst the Gribov copies in a lattice BRST formulation for SU(N), and thus to avoid the Neuberger 0/0 problem. The continuum limit of the Landau gauge remains unchanged.
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Dissertation Note
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Description
Also cited as: Lattice 2007, the XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regensburg, Germany / Gunnar Bali, Vladimir Braun, Christof Gattringer, Meinulf Göckeler, Andreas Schäfer, Peter Weisz, Tilo Wettig (eds.): 382/1-382/7.
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