skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Generalized surface tension bounds in vacuum decay

Abstract

Coleman and De Luccia (CDL) showed that gravitational effects can prevent the decay by bubble nucleation of a Minkowski or AdS false vacuum. In their thin-wall approximation this happens whenever the surface tension in the bubble wall exceeds an upper bound proportional to the difference of the square roots of the true and false vacuum energy densities. Recently it was shown that there is another type of thin-wall regime that differs from that of CDL in that the radius of curvature grows substantially as one moves through the wall. Not only does the CDL derivation of the bound fail in this case, but also its very formulation becomes ambiguous because the surface tension is not well defined. We propose a definition of the surface tension and show that it obeys a bound similar in form to that of the CDL case. We then show that both thin-wall bounds are special cases of a more general bound that is satisfied for all bounce solutions with Minkowski or AdS false vacua. We discuss the limit where the parameters of the theory attain critical values and the bound is saturated. The bounce solution then disappears and a static planar domain wall solution appearsmore » in its stead. The scalar field potential then is of the form expected in supergravity, but this is only guaranteed along the trajectory in field space traced out by the bounce.« less

Authors:
; ;
Publication Date:
Research Org.:
Columbia Univ., New York, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1422864
Alternate Identifier(s):
OSTI ID: 1503891
Grant/Contract Number:  
SC0011941
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 4; 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

Masoumi, Ali, Paban, Sonia, and Weinberg, Erick J. Generalized surface tension bounds in vacuum decay. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.97.045017.
Masoumi, Ali, Paban, Sonia, & Weinberg, Erick J. Generalized surface tension bounds in vacuum decay. United States. doi:10.1103/PhysRevD.97.045017.
Masoumi, Ali, Paban, Sonia, and Weinberg, Erick J. Tue . "Generalized surface tension bounds in vacuum decay". United States. doi:10.1103/PhysRevD.97.045017.
@article{osti_1422864,
title = {Generalized surface tension bounds in vacuum decay},
author = {Masoumi, Ali and Paban, Sonia and Weinberg, Erick J.},
abstractNote = {Coleman and De Luccia (CDL) showed that gravitational effects can prevent the decay by bubble nucleation of a Minkowski or AdS false vacuum. In their thin-wall approximation this happens whenever the surface tension in the bubble wall exceeds an upper bound proportional to the difference of the square roots of the true and false vacuum energy densities. Recently it was shown that there is another type of thin-wall regime that differs from that of CDL in that the radius of curvature grows substantially as one moves through the wall. Not only does the CDL derivation of the bound fail in this case, but also its very formulation becomes ambiguous because the surface tension is not well defined. We propose a definition of the surface tension and show that it obeys a bound similar in form to that of the CDL case. We then show that both thin-wall bounds are special cases of a more general bound that is satisfied for all bounce solutions with Minkowski or AdS false vacua. We discuss the limit where the parameters of the theory attain critical values and the bound is saturated. The bounce solution then disappears and a static planar domain wall solution appears in its stead. The scalar field potential then is of the form expected in supergravity, but this is only guaranteed along the trajectory in field space traced out by the bounce.},
doi = {10.1103/PhysRevD.97.045017},
journal = {Physical Review D},
number = 4,
volume = 97,
place = {United States},
year = {2018},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.97.045017

Save / Share:

Works referenced in this record:

Supergravity domain walls
journal, April 1997


New Kaluza-Klein instantons and the decay of AdS vacua
journal, July 2017


Non-perturbative stability of supergravity and superstring vacua
journal, January 1993


Local and global gravitational aspects of domain wall space-times
journal, September 1993

  • Cvetič, Mirjam; Griffies, Stephen; Soleng, Harald H.
  • Physical Review D, Vol. 48, Issue 6
  • DOI: 10.1103/PhysRevD.48.2613

A new proof of the positive energy theorem
journal, September 1981

  • Witten, Edward
  • Communications in Mathematical Physics, Vol. 80, Issue 3
  • DOI: 10.1007/BF01208277

Domain walls, near-BPS bubbles, and probabilities in the landscape
journal, October 2006

  • Ceresole, Anna; Dall’Agata, Gianguido; Giryavets, Alexander
  • Physical Review D, Vol. 74, Issue 8
  • DOI: 10.1103/PhysRevD.74.086010

Fake supergravity and domain wall stability
journal, May 2004


Gravitationally repulsive domain wall
journal, August 1984


Stability and instability of scalar fields coupled to gravity
journal, April 1986


Action integrals and partition functions in quantum gravity
journal, May 1977


Fate of stringy AdS vacua and the weak gravity conjecture
journal, July 2017


The string landscape, black holes and gravity as the weakest force
journal, June 2007


Positive energy without supersymmetry
journal, August 1984


Effect of gravity on false-vacuum decay rates for O(4)-symmetric bubble nucleation
journal, November 1991


Static domain walls in N = 1 supergravity
journal, August 1992


Gravitational effects on and of vacuum decay
journal, June 1980


Modeling the fifth dimension with scalars and gravity
journal, July 2000


Hidden Supersymmetry of Domain Walls and Cosmologies
journal, May 2006


Gravitational field of vacuum domain walls and strings
journal, February 1981


A new gravitational energy expression with a simple positivity proof
journal, June 1981


Regulating Eternal Inflation II: The Great Divide
journal, August 2006


Universal isolation in the AdS landscape
journal, December 2016


Gravitational stabilization of scalar potentials
journal, June 1985


Tunneling from a Minkowski vacuum to an AdS vacuum: A new thin-wall regime
journal, July 2016


Probabilities in the landscape: The decay of nearly flat space
journal, August 2006

  • Bousso, Raphael; Freivogel, Ben; Lippert, Matthew
  • Physical Review D, Vol. 74, Issue 4, Article No. 046008
  • DOI: 10.1103/PhysRevD.74.046008

A swamp of non-SUSY vacua
journal, November 2017

  • Danielsson, U. H.; Dibitetto, G.; Vargas, S. C.
  • Journal of High Energy Physics, Vol. 2017, Issue 11, Article No. 152
  • DOI: 10.1007/JHEP11(2017)152