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No resonant tunneling in standard scalar quantum field theory

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


Paul M. Saffin


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.


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),

Journal Article Type Article
Acceptance Date Jan 21, 2008
Publication Date Jan 28, 2008
Deposit Date Apr 21, 2017
Publicly Available Date Apr 21, 2017
Journal Journal of High Energy Physics
Electronic ISSN 1029-8479
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 2008
Issue 1
Public URL
Publisher URL


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