No resonant tunneling in standard scalar quantum field theory

Copeland, Edmund J. and Padilla, Antonio and Saffin, Paul M. (2008) No resonant tunneling in standard scalar quantum field theory. Journal of High Energy Physics, 2008 (01). 066. ISSN 1029-8479

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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.

Item Type: Article
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Physics and Astronomy
Identification Number: 10.1088/1126-6708/2008/01/066
Depositing User: Saffin, Dr Paul
Date Deposited: 21 Apr 2017 10:22
Last Modified: 21 Apr 2017 10:30
URI: http://eprints.nottingham.ac.uk/id/eprint/42121

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