Does a non-zero tunnelling probability imply particle production in time independent classical electromagnetic backgrounds?

Details Does a non-zero tunnelling probability imply particle production in time independent classical electromagnetic backgrounds? Does a non-zero tunnelling probability imply particle production in time independent classical electromagnetic backgrounds?

1996-04-16

arxiv.org/abs/hep-th/9604111v1

Phys.Rev. D54 (1996) 7599-7606

Physics

High Energy Physics

High Energy Physics - Theory

LATEX document, 17 pages

Scientific paper

10.1103/PhysRevD.54.7599

In this paper, we probe the validity of the tunnelling interpretation that is usually called forth in literature to explain the phenomenon of particle production by time independent classical electromagnetic backgrounds. We show that the imaginary part of the effective lagrangian is zero for a complex scalar field quantized in a time independent, but otherwise arbitrary, magnetic field. This result implies that no pair creation takes place in such a background. But we find that when the quantum field is decomposed into its normal modes in the presence of a spatially confined and time independent magnetic field, there exists a non-zero tunnelling probability for the effective Schr{\" o}dinger equation. According to the tunnelling interpretation, this result would imply that spatially confined magnetic fields can produce particles, thereby contradicting the result obtained from the effective lagrangian. This lack of consistency between these two approaches calls into question the validity of attributing a non-zero tunnelling probability for the effective Schr{\" o}dinger equation to the production of particles by the time independent electromagnetic backgrounds. The implications of our analysis are discussed.

Affiliated with

Also associated with

No associations

Rating

Does a non-zero tunnelling probability imply particle production in time independent classical electromagnetic backgrounds? 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 Does a non-zero tunnelling probability imply particle production in time independent classical electromagnetic backgrounds?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Does a non-zero tunnelling probability imply particle production in time independent classical electromagnetic backgrounds? will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-207970