Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-12-04
Phys. Lett. B690:189,2010
Physics
High Energy Physics
High Energy Physics - Theory
New title and reference added
Scientific paper
Dirichlet boundary conditions on a surface can be imposed on a scalar field, by coupling it quadratically to a $\delta$-like potential, the strength of which tends to infinity. Neumann conditions, on the other hand, require the introduction of an even more singular term, which renders the reflection and transmission coefficients ill-defined because of UV divergences. We present a possible procedure to tame those divergences, by introducing a minimum length scale, related to the non-zero `width' of a {\em nonlocal} term. We then use this setup to reach (either exact or imperfect) Neumann conditions, by taking the appropriate limits. After defining meaningful reflection coefficients, we calculate the Casimir energies for flat parallel mirrors, presenting also the extension of the procedure to the case of arbitrary surfaces. Finally, we discuss briefly how to generalize the worldline approach to the nonlocal case, what is potentially useful in order to compute Casimir energies in theories containing nonlocal potentials; in particular, those which we use to reproduce Neumann boundary conditions.
Fosco Cesar D.
Lombardo Fernando C.
Mazzitelli Francisco D.
No associations
LandOfFree
Neumann Casimir effect: a singular boundary-interaction approach 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 Neumann Casimir effect: a singular boundary-interaction approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Neumann Casimir effect: a singular boundary-interaction approach will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-420949