Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-12-21
Phys.Lett.B663:132-135,2008
Physics
High Energy Physics
High Energy Physics - Theory
9 pages, LaTeX. v2: Minor changes. v3: Published version
Scientific paper
10.1016/j.physletb.2008.03.066
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 \rho if a zero-order term \nu_{\rho} is added to the \Delta operator. The effects of this odd scalar term \nu_{\rho} become relevant at two-loop order. We prove that \nu_{\rho} 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 \rho. This extends a previous result for non-degenerate antisymplectic manifolds to degenerate anti-Poisson manifolds that admit a compatible two-form.
Batalin Igor A.
Bering Klaus
No associations
LandOfFree
Odd Scalar Curvature in Anti-Poisson Geometry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Odd Scalar Curvature in Anti-Poisson Geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Odd Scalar Curvature in Anti-Poisson Geometry will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-696711