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The ice-limit of Coulomb gauge Yang-Mills theory

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arxiv 0807.4698 v1 pith:4VOUW6RV submitted 2008-07-29 hep-lat

The ice-limit of Coulomb gauge Yang-Mills theory

classification hep-lat
keywords gaugestatescoulombice-limitinvariantlimitallowsamend
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper we describe gauge invariant multi-quark states generalising the path integral framework developed by Parrinello, Jona-Lasinio and Zwanziger to amend the Faddeev-Popov approach. This allows us to produce states such that, in a limit which we call the ice-limit, fermions are dressed with glue exclusively from the fundamental modular region associated with Coulomb gauge. The limit can be taken analytically without difficulties, avoiding the Gribov problem. This is llustrated by an unambiguous construction of gauge invariant mesonic states for which we simulate the static quark--antiquark potential.

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