Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-12-22
Phys.Rev.D73:066012,2006
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 25 pages, final version, to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.73.066012
We construct quantum effective action in spacetime with branes/boundaries. This construction is based on the reduction of the underlying Neumann type boundary value problem for the propagator of the theory to that of the much more manageable Dirichlet problem. In its turn, this reduction follows from the recently suggested Neumann-Dirichlet duality which we extend beyond the tree level approximation. In the one-loop approximation this duality suggests that the functional determinant of the differential operator subject to Neumann boundary conditions in the bulk factorizes into the product of its Dirichlet counterpart and the functional determinant of a special operator on the brane -- the inverse of the brane-to-brane propagator. As a byproduct of this relation we suggest a new method for surface terms of the heat kernel expansion. This method allows one to circumvent well-known difficulties in heat kernel theory on manifolds with boundaries for a wide class of generalized Neumann boundary conditions. In particular, we easily recover several lowest order surface terms in the case of Robin and oblique boundary conditions. We briefly discuss multi-loop applications of the suggested Dirichlet reduction and the prospects of constructing the universal background field method for systems with branes/boundaries, analogous to the Schwinger-DeWitt technique.
Barvinsky Andrei O.
Nesterov D. V.
No associations
LandOfFree
Quantum Effective Action in Spacetimes with Branes and Boundaries 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 Quantum Effective Action in Spacetimes with Branes and Boundaries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Effective Action in Spacetimes with Branes and Boundaries will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-726309