POISSON ALGEBRA OF WILSON LOOPS IN FOUR-DIMENSIONAL YANG-MILLS THEORY
1995 ◽
Vol 10
(17)
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pp. 2479-2505
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Keyword(s):
We formulate the canonical structure of Yang-Mills theory in terms of Poisson brackets of gauge-invariant observables analogous to Wilson loops. This algebra is nontrivial and tractable in a light cone formulation. For U (N) gauge theories the result is a Lie algebra while for SU (N) gauge theories it is a quadratic algebra. We also study the identities satisfied by the gauge-invariant observables. We suggest that the phase space of a Yang-Mills theory is a coadjoint orbit of our Poisson algebra; some partial results in this direction are obtained.
2006 ◽
Vol 21
(18)
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pp. 3771-3808
Keyword(s):
2008 ◽
Vol 20
(09)
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pp. 1033-1172
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Keyword(s):
1991 ◽
Vol 06
(05)
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pp. 845-863
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1991 ◽
Vol 06
(10)
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pp. 909-921
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Keyword(s):
2014 ◽
Vol 29
(31)
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pp. 1450183
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Keyword(s):
1987 ◽
Vol 02
(07)
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pp. 487-497
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Keyword(s):
1989 ◽
Vol 04
(13)
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pp. 3211-3228
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