One-Loop Effective Action for Euclidean Maxwell Theory on Manifolds with Boundary

Details One-Loop Effective Action for Euclidean Maxwell Theory on Manifolds with Boundary One-Loop Effective Action for Euclidean Maxwell Theory on Manifolds with Boundary

1996-06-20

arxiv.org/abs/hep-th/9606132v1

Phys.Rev. D54 (1996) 7328-7337

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, Revtex

Scientific paper

10.1103/PhysRevD.54.7328

This paper studies the one-loop effective action for Euclidean Maxwell theory about flat four-space bounded by one three-sphere, or two concentric three-spheres. The analysis relies on Faddeev-Popov formalism and $\zeta$-function regularization, and the Lorentz gauge-averaging term is used with magnetic boundary conditions. The contributions of transverse, longitudinal and normal modes of the electromagnetic potential, jointly with ghost modes, are derived in detail. The most difficult part of the analysis consists in the eigenvalue condition given by the determinant of a $2 \times 2$ or $4 \times 4$ matrix for longitudinal and normal modes. It is shown that the former splits into a sum of Dirichlet and Robin contributions, plus a simpler term. This is the quantum cosmological case. In the latter case, however, when magnetic boundary conditions are imposed on two bounding three-spheres, the determinant is more involved. Nevertheless, it is evaluated explicitly as well. The whole analysis provides the building block for studying the one-loop effective action in covariant gauges, on manifolds with boundary. The final result differs from the value obtained when only transverse modes are quantized, or when noncovariant gauges are used.

Affiliated with

Also associated with

No associations

Rating

One-Loop Effective Action for Euclidean Maxwell Theory on Manifolds with Boundary 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 One-Loop Effective Action for Euclidean Maxwell Theory on Manifolds with Boundary, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and One-Loop Effective Action for Euclidean Maxwell Theory on Manifolds with Boundary will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-241153