Radiative corrections to false vacuum decay in quantum mechanics

Radiative corrections to false vacuum decay in quantum mechanics We consider radiative corrections to false vacuum decay within the framework of quantum mechanics for the general potential of the form 12Mϕ2(ϕ-A)(ϕ-B), where M, A and B are arbitrary parameters. For this type of potential we provide analytical results for Green function in the background of a corresponding bounce solution together with a one loop expression for false vacuum decay rate. Next, we discuss the computations of higher order corrections for false vacuum decay rates and provide numerical expressions for two and three loop contributions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Radiative corrections to false vacuum decay in quantum mechanics

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Radiative corrections to false vacuum decay in quantum mechanics

Abstract

We consider radiative corrections to false vacuum decay within the framework of quantum mechanics for the general potential of the form 12Mϕ2(ϕ-A)(ϕ-B), where M, A and B are arbitrary parameters. For this type of potential we provide analytical results for Green function in the background of a corresponding bounce solution together with a one loop expression for false vacuum decay rate. Next, we discuss the computations of higher order corrections for false vacuum decay rates and provide numerical expressions for two and three loop contributions.
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Publisher
The American Physical Society
Copyright
Copyright © © 2017 American Physical Society
ISSN
1550-7998
eISSN
1550-2368
D.O.I.
10.1103/PhysRevD.96.036001
Publisher site
See Article on Publisher Site

Abstract

We consider radiative corrections to false vacuum decay within the framework of quantum mechanics for the general potential of the form 12Mϕ2(ϕ-A)(ϕ-B), where M, A and B are arbitrary parameters. For this type of potential we provide analytical results for Green function in the background of a corresponding bounce solution together with a one loop expression for false vacuum decay rate. Next, we discuss the computations of higher order corrections for false vacuum decay rates and provide numerical expressions for two and three loop contributions.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Aug 1, 2017

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