Poisson Brackets of Normal-Ordered Wilson Loops
نویسنده
چکیده
We formulate Yang–Mills theory in terms of the large-N limit, viewed as a classical limit, of gauge-invariant dynamical variables, which are closely related to Wilson loops. We obtain a Poisson algebra of these dynamical variables corresponding to normal-ordered quantum (at a finite value of h̄) operators. Comparing with a Poisson algebra one of us introduced in the past for Weyl-ordered quantum operators, we find that these two Poisson algebras are, roughly speaking, the same. More precisely speaking, there exists an invertible Poisson morphism between them. PACS numbers: 02.10.Vr, 11.15.-q.
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