Convexity, gauge-dependence and tunneling rates
Open accessAbstract
We clarify issues of convexity, gauge-dependence and radiative corrections in relation to tunneling rates. Despite the gauge dependence of the effective action at zero and finite temperature, it is shown that tunneling and nucleation rates remain independent of the choice of gauge-fixing. Taking as a starting point the functional that defines the transition amplitude from a false vacuum onto itself, it is shown that decay rates are exactly determined by a non-convex, false vacuum effective action evaluated at an extremum. The latter can be viewed as a generalized bounce configuration, and gauge-independence follows from the appropriate Nielsen identities. This holds for any election of gauge-fixing that leads to an invertible Faddeev-Popov matrix.
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Tunnelling between degenerate vacua is at the origin of convexity of the effective potential and restoration of a symmetric true vacuum.
“while the second is at the origin of convexity of the effective potential [2-11] and therefore restoration of a symmetric true vacuum.”
From Double-well instantons in finite volume (2024) · cites this paper as [10]
In the discussion of the true-vacuum effective potential (page not identified in our copy), the paper links its convexity to summing contributions associated with multiple local vacua and includes tunnelling sectors. It says those tunnelling contributions can be nonperturbatively suppressed; it does not say tunnelling is the origin of convexity or that convexity restores a symmetric true vacuum. (LLM, conf=0.85)
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Bezuglov, M. A. (2018) · EPJ Web of Conferences · doi:10.1051/epjconf/201817709001 · Cited by 7 · see citing works
Double-well instantons in finite volume
Ai, W.-Y., Alexandre, J., Carosi, M., Garbrecht, B., & Pla, S. (2024) · Journal of High Energy Physics · doi:10.1007/jhep05(2024)099 · Cited by 6 · see citing works
Null energy condition violation: Tunneling versus the Casimir effect
Alexandre, J., & Backhouse, D. (2023) · Physical Review D · doi:10.1103/physrevd.107.085022 · Cited by 6 · see citing works
Cosmic bounce and phantom-like equation of state from tunnelling
Alexandre, J., & Pla, S. (2023) · Journal of High Energy Physics · doi:10.1007/jhep05(2023)145 · Cited by 6 · see citing works
Non-perturbative aspects of galileon duality
Millington, P., Niedermann, F., & Padilla, A. (2018) · The European Physical Journal C · doi:10.1140/epjc/s10052-018-6029-0 · Cited by 6 · see citing works
Quantum and gradient corrections to false vacuum decay on a de Sitter background
Cruz, J. S., Brandt, S., & Urban, M. (2022) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.106.065001 · Cited by 6 · see citing works
One-loop tunneling-induced energetics
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Radiative corrections to false vacuum decay in quantum mechanics
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Saving the universe with finite volume effects
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The limits of the strong CP problem
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Self-citationTunneling-induced cosmic bounce in the presence of anisotropies
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Effective potential in non-perturbative gauge theories
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Gauge invariance of the vector meson mass in the Coleman-Weinberg model
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Gauge-independence of tunneling rates
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Self-citationMapping 1 + 1-dimensional black hole thermodynamics to finite volume effects
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Tunneling and the Casimir effect on a D -dimensional sphere
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Spontaneous symmetry breaking or notPreprint
Alexandre, J. (2016) · arXiv (Cornell University) · Cited by 1 · see citing works
NNLO corrections to false vacuum decay rate in thin-wall approximationPreprint
Bezuglov, M. A., & Онищенко, А. И. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1903.10864 · Cited by 1 · see citing works
First-Order Cosmological Phase Transition
Gouttenoire, Y. (2022) · Springer theses · doi:10.1007/978-3-031-11862-3_6
BubbleDet: A Python package to compute functional determinants for bubble nucleation
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- Authors
- Plascencia, A. D., & Tamarit, C.
- Affiliations
- Durham University (GB)
- Corresponding author
- Tamarit, Carlos
- Venue
- Journal of High Energy Physics
- Published
- 2016-10
- Volume
- 2016
- Issue
- 10
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2534405390
- Cited by
- 64
- References
- 69
- Citations by year
- 2025: 3 · 2024: 4 · 2023: 8 · 2022: 6 · 2021: 7 · 2020: 2 · 2019: 6 · 2018: 14 · 2017: 10 · 2016: 4
- FWCI
- 5.48
- Type
- journal article
- Language
- en
- Open access
- diamond
- doi.org
- Licence
- cc-by
- Locations
- Journal of High Energy Physics (publishedVersion, cc-by)
- arXiv (Cornell University) (publishedVersion)
- Durham Research Online (Durham University) (acceptedVersion, cc-by)
- arXiv (Cornell University)
- Funders
- Ministerio de Ciencia e Innovación (FPA2011-24568)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Keywords
- false vacuum decay, tunneling rate, nucleation rate, gauge dependence, gauge fixing, effective action, convexity, Nielsen identities, radiative corrections, finite temperature, quantum tunneling
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