Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-02-14
Annals Phys. 298 (2002) 403-420
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, REVTeX, no figures, no tables
Scientific paper
10.1006/aphy.2002.6261
The vacuum energy density of electromagnetic field inside a perfectly conducting wedge is calculated by making use of the local zeta function technique. This regularization completely eliminates divergent expressions in the course of calculations and gives rise to a finite expression for the energy density in question without any subtractions. Employment of the Hertz potentials for constructing the general solution to the Maxwell equations results in a considerable simplification of the calculations. Transition to the global zeta function is carried out by introducing a cutoff nearby the cusp at the origin. Proceeding from this the heat kernel coefficients are calculated and the high temperature asymptotics of the Helmholtz free energy and of the torque of the Casimir forces are found. The wedge singularity gives rise to a specific high temperature behaviour $\sim T^2$ of the quantities under consideration. The obtained results are directly applicable to the free energy of a scalar massless field and electromagnetic field on the background of a cosmic string.
Lambiase Gaetano
Nesterenko V. V.
Scarpetta Gaetano
No associations
LandOfFree
Casimir effect for a perfectly conducting wedge in terms of local zeta function 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 Casimir effect for a perfectly conducting wedge in terms of local zeta function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Casimir effect for a perfectly conducting wedge in terms of local zeta function will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-42950