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Title: Gravitational decoupling and the Picard-Lefschetz approach

Abstract

In this work, we consider tunneling between nonmetastable states in gravitational theories. Such processes arise in various contexts, e.g., in inflationary scenarios where the inflaton potential involves multiple fields or multiple branches. They are also relevant for bubble wall nucleation in some cosmological settings. However, we show that the transition amplitudes computed using the Euclidean method generally do not approach the corresponding field theory limit as M p → ∞. This implies that in the Euclidean framework, there is no systematic expansion in powers of G N for such processes. Such considerations also carry over directly to no-boundary scenarios involving Hawking-Turok instantons. In this note, we illustrate this failure of decoupling in the Euclidean approach with a simple model of axion monodromy and then argue that the situation can be remedied with a Lorentzian prescription such as the Picard-Lefschetz theory. As a proof of concept, we illustrate with a simple model how tunneling transition amplitudes can be calculated using the Picard-Lefschetz approach.

Authors:
; ; ;
Publication Date:
Research Org.:
Univ. of Wisconsin, Madison, WI (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1415527
Alternate Identifier(s):
OSTI ID: 1503841
Grant/Contract Number:  
SC0017647
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 2; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Brown, Jon, Cole, Alex, Shiu, Gary, and Cottrell, William. Gravitational decoupling and the Picard-Lefschetz approach. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.97.025002.
Brown, Jon, Cole, Alex, Shiu, Gary, & Cottrell, William. Gravitational decoupling and the Picard-Lefschetz approach. United States. doi:10.1103/PhysRevD.97.025002.
Brown, Jon, Cole, Alex, Shiu, Gary, and Cottrell, William. Wed . "Gravitational decoupling and the Picard-Lefschetz approach". United States. doi:10.1103/PhysRevD.97.025002.
@article{osti_1415527,
title = {Gravitational decoupling and the Picard-Lefschetz approach},
author = {Brown, Jon and Cole, Alex and Shiu, Gary and Cottrell, William},
abstractNote = {In this work, we consider tunneling between nonmetastable states in gravitational theories. Such processes arise in various contexts, e.g., in inflationary scenarios where the inflaton potential involves multiple fields or multiple branches. They are also relevant for bubble wall nucleation in some cosmological settings. However, we show that the transition amplitudes computed using the Euclidean method generally do not approach the corresponding field theory limit as Mp → ∞. This implies that in the Euclidean framework, there is no systematic expansion in powers of GN for such processes. Such considerations also carry over directly to no-boundary scenarios involving Hawking-Turok instantons. In this note, we illustrate this failure of decoupling in the Euclidean approach with a simple model of axion monodromy and then argue that the situation can be remedied with a Lorentzian prescription such as the Picard-Lefschetz theory. As a proof of concept, we illustrate with a simple model how tunneling transition amplitudes can be calculated using the Picard-Lefschetz approach.},
doi = {10.1103/PhysRevD.97.025002},
journal = {Physical Review D},
number = 2,
volume = 97,
place = {United States},
year = {2018},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.97.025002

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Cited by: 4 works
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