Gauge Invariant SO(3) - Z2 Monopoles as Possible Source of Confinement in SU(2) Lattice Gauge Theory
Abstract
A gauge invariant procedure for extracting combined SO(3)-Z2 monopoles in positive-plaquette SU(2) lattice gauge theory is shown. When these monopoles are eliminated through a constraint, the theory deconfines for all $\beta$ on $12^4$ and $20^4$ lattices even in the strong coupling limit, despite a rather strong average plaquette of around 0.64. This corresponds to an effective Wilson $\beta$ of 2.45, at which Wilson-action lattices would be far into the confining region. This suggests that Wilson-action confinement may be a strong-coupling lattice artifact; the continuum limit may not confine.
- Publication:
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arXiv e-prints
- Pub Date:
- June 1998
- DOI:
- 10.48550/arXiv.hep-lat/9806024
- arXiv:
- arXiv:hep-lat/9806024
- Bibcode:
- 1998hep.lat...6024G
- Keywords:
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- High Energy Physics - Lattice
- E-Print:
- 8 pages RevTeX, 5 ps figs