SU(N) Yang-Mills on a circle, loop variables, Mandelstam identities and quantization ambiguities

Details SU(N) Yang-Mills on a circle, loop variables, Mandelstam identities and quantization ambiguities SU(N) Yang-Mills on a circle, loop variables, Mandelstam identities and quantization ambiguities

1993-08-05

arxiv.org/abs/hep-th/9308015v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Gothenburg ITP 93-33

Scientific paper

We consider $SU(N)$ Yang-Mills on a circle (cylindrical space-time) and
quantize the eigenvalues of the holonomy. In this way the Mandelstam identities
associated with the holonomy are trivially solved. Furthermore we indicate that
there are exactly two physically inequivalent representations of the algebra of
gauge-invariant operators, resulting in different spectra.

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