Abstract
Almost all lattice work on confinement has been carried out for an SU (2) gauge group. This is a good starting point. Confinement is caused by glue and every physicist believes that there is no essential physical difference in the confining properties of glue for SU (N), for arbitrary N. Despite this, in confinement by topological objects, questions arise for SU (3) which have no SU (2) analog. We discuss two of these. The first involves the fact that the formulation of the maximal abelian gauge (MAG) is more subtle for SU (3) than it is for SU (2). Calculations with the simplest form give poor results for the string tension (Sec. (3)). A generalized form which appears more natural is suggested (Sec. (4)). The second question has to do with the subgroup structure of monopoles, and their relation to P-vortices. There are strong arguments that monopoles should be associated with SU (2) subgroups of SU (3). There is also good evidence from our SU (3) lattice calculations that P-vortices pass through monopoles. This appears to be paradoxical at first, since P-vortices carry only center flux. We show how these two properties can coexist (Sec. (5)). We begin with a general discussion of gauge-fixing and projection (Sec. (2)).
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Stack, J.D., Tucker, W.W., Wensley, R.J. (2002). Confinement In SU(3): Simple and Generalized Maximal Abelian Gauge. In: Greensite, J., OlejnÃk, Å . (eds) Confinement, Topology, and Other Non-Perturbative Aspects of QCD. NATO Science Series, vol 83. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0502-9_32
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DOI: https://doi.org/10.1007/978-94-010-0502-9_32
Publisher Name: Springer, Dordrecht
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