Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-04-30
Nucl.Phys.B584:784-794,2000
Physics
High Energy Physics
High Energy Physics - Theory
12 pages
Scientific paper
10.1016/S0550-3213(00)00363-1
A noncommutative gauge theory is associated to every Abelian gauge theory on a Poisson manifold. The semi-classical and full quantum version of the map from the ordinary gauge theory to the noncommutative gauge theory (Seiberg-Witten map) is given explicitly to all orders for any Poisson manifold in the Abelian case. In the quantum case the construction is based on Kontsevich's formality theorem.
Jurco Branislav
Schupp Peter
Wess Julius
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