Semiclassical approach to heterogeneous vacuum decay

Grinstein, Benjamin; Murphy, Christopher W.

doi:10.1007/JHEP12(2015)063

Title: Semiclassical approach to heterogeneous vacuum decay

Abstract

We derive the decay rate of an unstable phase of a quantum field theory in the presence of an impurity in the thin-wall approximation. This derivation is based on the how the impurity changes the (flat spacetime) geometry relative to case of pure false vacuum. Two examples are given that show how to estimate some of the additional parameters that enter into this heterogeneous decay rate. This formalism is then applied to the Higgs vacuum of the Standard Model (SM), where baryonic matter acts as an impurity in the electroweak Higgs vacuum. We find that the probability for heterogeneous vacuum decay to occur is suppressed with respect to the homogeneous case. That is to say, the conclusions drawn from the homogeneous case are not modified by the inclusion of baryonic matter in the calculation. On the other hand, we show that Beyond the Standard Model physics with a characteristic scale comparable to the scale that governs the homogeneous decay rate in the SM, can in principle lead to an enhanced decay rate.

Authors:

Grinstein, Benjamin ^[1]; Murphy, Christopher W. ^[2]

University of California, San Diego, La Jolla, CA (United States). Department of Physics
Scuola Normale Superiore, Pisa (Italy)

Publication Date:: Thu Dec 10 00:00:00 EST 2015

Research Org.:: University of California, San Diego, La Jolla, CA (United States). Department of Physics

Sponsoring Org.:: USDOE

OSTI Identifier:: 1434586

Grant/Contract Number:: SC0009919

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 12; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Higgs Physics; Standard Model; Beyond Standard Model

Citation Formats


                    Grinstein, Benjamin, and Murphy, Christopher W. Semiclassical approach to heterogeneous vacuum decay.  United States: N. p., 2015. 
Web.  doi:10.1007/JHEP12(2015)063.

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                    Grinstein, Benjamin, & Murphy, Christopher W. Semiclassical approach to heterogeneous vacuum decay.  United States.  https://doi.org/10.1007/JHEP12(2015)063

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                    Grinstein, Benjamin, and Murphy, Christopher W. Thu .  
"Semiclassical approach to heterogeneous vacuum decay".  United States.  https://doi.org/10.1007/JHEP12(2015)063.  https://www.osti.gov/servlets/purl/1434586.

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@article{osti_1434586,

  title        = {Semiclassical approach to heterogeneous vacuum decay},

  author       = {Grinstein, Benjamin and Murphy, Christopher W.},

  abstractNote = {We derive the decay rate of an unstable phase of a quantum field theory in the presence of an impurity in the thin-wall approximation. This derivation is based on the how the impurity changes the (flat spacetime) geometry relative to case of pure false vacuum. Two examples are given that show how to estimate some of the additional parameters that enter into this heterogeneous decay rate. This formalism is then applied to the Higgs vacuum of the Standard Model (SM), where baryonic matter acts as an impurity in the electroweak Higgs vacuum. We find that the probability for heterogeneous vacuum decay to occur is suppressed with respect to the homogeneous case. That is to say, the conclusions drawn from the homogeneous case are not modified by the inclusion of baryonic matter in the calculation. On the other hand, we show that Beyond the Standard Model physics with a characteristic scale comparable to the scale that governs the homogeneous decay rate in the SM, can in principle lead to an enhanced decay rate.},

  doi          = {10.1007/JHEP12(2015)063},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 12,

  volume       = 2015,

  place        = {United States},

  year         = {Thu Dec 10 00:00:00 EST 2015},

  month        = {Thu Dec 10 00:00:00 EST 2015}

}

Copy to clipboard

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Title: Semiclassical approach to heterogeneous vacuum decay

Abstract

Citation Formats

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On the metastability of the Standard Model vacuum journal, August 2001

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On stability of electroweak vacuum during inflation journal, June 2015

Concise Formulas for the Area and Volume of a Hyperspherical Cap journal, January 2011

O(3)-invariant tunneling in general relativity journal, June 1988

Gravity and the Stability of the Higgs Vacuum journal, August 2015

Catalyzed decay of a false vacuum in four dimensions journal, February 1994

Vacuum metastability with black holes journal, August 2015

Consistent Use of the Standard Model Effective Potential journal, December 2014

Probable or improbable universe? Correlating electroweak vacuum instability with the scale of inflation journal, January 2015

Stability, Higgs Boson Mass, and New Physics journal, December 2013

Heterogeneous and Homogeneous Nucleation Compared: Rapid Nucleation on Microscopic Impurities journal, March 2006

Cosmological implications of the Higgs mass measurement journal, May 2008

Fate of the false vacuum. II. First quantum corrections journal, September 1977

Investigating the near-criticality of the Higgs boson journal, December 2013

Electroweak Higgs potential and vacuum stability journal, August 1989

Theory of the condensation point journal, January 1967

Fate of the false vacuum: Semiclassical theory journal, May 1977

Formation of Crystal Nuclei in Liquid Metals journal, October 1950

Constraints on the global topology and size of the universe from the cosmic microwave background journal, June 2012

Gravity and false vacuum decay rates: O(3) solutions journal, December 1990

Rate of Nucleation in Condensed Systems journal, January 1949

Cavitation in water: a review journal, November 2006

Bubble nucleation in liquids journal, September 1975

Higgs mass and vacuum stability in the Standard Model at NNLO
journal, August 2012

Spacetime Curvature and the Higgs Stability During Inflation
journal, November 2014

The topology and size of the universe from CMB temperature and polarization data
journal, August 2013

Can cosmic-ray catalysed vacuum decay dominate over tunnelling?
journal, March 1998

Higgs mass implications on the stability of the electroweak vacuum
journal, March 2012

Statistical theory of the decay of metastable states
journal, September 1969

A novel channel for vacuum decay
journal, July 2012

The Homogeneous Nucleation Limits of Liquids
journal, July 1985

On the metastability of the Standard Model vacuum
journal, August 2001

Combined Measurement of the Higgs Boson Mass in $p p$ Collisions at $\sqrt{s} = 7$ and 8 TeV with the ATLAS and CMS Experiments
journal, May 2015

Electroweak Vacuum Stability in Light of BICEP2
journal, May 2014

Black holes as bubble nucleation sites
journal, March 2014

Stabilization of the electroweak vacuum by a scalar threshold effect
journal, June 2012

On stability of electroweak vacuum during inflation
journal, June 2015

Concise Formulas for the Area and Volume of a Hyperspherical Cap
journal, January 2011

O(3)-invariant tunneling in general relativity
journal, June 1988

Gravity and the Stability of the Higgs Vacuum
journal, August 2015

Catalyzed decay of a false vacuum in four dimensions
journal, February 1994

Vacuum metastability with black holes
journal, August 2015

Consistent Use of the Standard Model Effective Potential
journal, December 2014

Probable or improbable universe? Correlating electroweak vacuum instability with the scale of inflation
journal, January 2015

Stability, Higgs Boson Mass, and New Physics
journal, December 2013

Heterogeneous and Homogeneous Nucleation Compared: Rapid Nucleation on Microscopic Impurities
journal, March 2006

Cosmological implications of the Higgs mass measurement
journal, May 2008

Fate of the false vacuum. II. First quantum corrections
journal, September 1977

Investigating the near-criticality of the Higgs boson
journal, December 2013

Electroweak Higgs potential and vacuum stability
journal, August 1989

Theory of the condensation point
journal, January 1967

Fate of the false vacuum: Semiclassical theory
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Formation of Crystal Nuclei in Liquid Metals
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Constraints on the global topology and size of the universe from the cosmic microwave background
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Rate of Nucleation in Condensed Systems
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Cavitation in water: a review
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