Research Repository

See what's under the surface

No resonant tunneling in standard scalar quantum field theory

Copeland, Edmund J.; Padilla, Antonio; Saffin, Paul M.

Authors

Edmund J. Copeland

Antonio Padilla

Paul M. Saffin

Abstract

We investigate the nature of resonant tunneling in Quantum Field Theory. Following the pioneering work of Banks, Bender and Wu, we describe quantum field theory in terms of infinite dimensional quantum mechanics and utilize the ``Most probable escape path'' (MPEP) as the class of paths which dominate the path integral in the classically forbidden region. Considering a 1+1 dimensional field theory example we show that there are five conditions that any associated bound state in the classically allowed region must satisfy if resonant tunnelling is to occur, and we then proceed to show that it is impossible to satisfy all five conditions simultaneously.

Journal Article Type Article
Publication Date Jan 28, 2008
Journal Journal of High Energy Physics
Electronic ISSN 1029-8479
Publisher Humana Press
Peer Reviewed Peer Reviewed
Volume 2008
Issue 1
Institution Citation Copeland, E. J., Padilla, A., & Saffin, P. M. (2008). No resonant tunneling in standard scalar quantum field theory. Journal of High Energy Physics, 2008(1), doi:10.1088/1126-6708/2008/01/066
DOI https://doi.org/10.1088/1126-6708/2008/01/066
Publisher URL http://iopscience.iop.org/article/10.1088/1126-6708/2008/01/066/meta
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

Files

0709.0261.pdf (270 Kb)
PDF

Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf




Downloadable Citations