Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1852386 | Physics Letters B | 2008 | 4 Pages |
Abstract
Recent works have revealed that the recipe for field-antifield quantization of Lagrangian gauge theories can be considerably relaxed when it comes to choosing a path integral measure Ï if a zero-order term Î½Ï is added to the Î operator. The effects of this odd scalar term Î½Ï become relevant at two-loop order. We prove that Î½Ï is essentially the odd scalar curvature of an arbitrary torsion-free connection that is compatible with both the anti-Poisson structure E and the density Ï. This extends a previous result for non-degenerate antisymplectic manifolds to degenerate anti-Poisson manifolds that admit a compatible two-form.
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Authors
Igor A. Batalin, Klaus Bering,