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The tunneling potential method to calculate the action for vacuum decay is an alternative to the Euclidean bounce method that has a number of attractive features. In this paper we extend the formalism to general spacetime dimension $d>2$…

High Energy Physics - Theory · Physics 2023-02-22 J. R. Espinosa , J. -F. Fortin

In a pioneering paper on the role of gravity on false vacuum decay, Coleman and De Luccia showed that a strong gravitational field can stabilize the false vacuum, suppressing the formation of true vacuum bubbles. This result is obtained for…

High Energy Physics - Phenomenology · Physics 2016-12-21 Vincenzo Branchina , Emanuele Messina , Dario Zappala

We study the decay of the false vacuum in the regime where the quantum field theory analysis is not valid, since gravitational effects become important. This happens when the height of the barrier separating the false and the true vacuum is…

High Energy Physics - Theory · Physics 2024-10-11 Viatcheslav F. Mukhanov , Yaron Oz , Alexander S. Sorin

Using numerical and analytic methods, we study quantum tunneling from a Minkowski false vacuum to an anti-de Sitter true vacuum. Scanning the parameter space of theories with quartic and non-polynomial potentials, we find that for any given…

High Energy Physics - Theory · Physics 2016-07-26 Ali Masoumi , Sonia Paban , Erick J. Weinberg

We consider vacuum decay in the presence of a non-minimal coupling to gravity. We extend the usual thin-wall solution to include the non-minimal coupling. We also perform a full numerical study and discuss the validity of the new thin-wall…

High Energy Physics - Phenomenology · Physics 2016-11-03 Olga Czerwińska , Zygmunt Lalak , Marek Lewicki , Paweł Olszewski

Using a new approach to the analysis of false vacuum decay based on the so-called tunneling potential, we develop a general method to find scalar potentials with a false vacuum with exactly solvable decay at the semi-classical level,…

High Energy Physics - Theory · Physics 2021-09-15 J. R. Espinosa , J. -F. Fortin , J. Huertas

If a theory has more than one classically stable vacuum, quantum tunneling and thermal jumps make the transition between the vacua possible. The transition happens through a first order phase transition started by nucleation of a bubble of…

High Energy Physics - Theory · Physics 2015-05-26 Ali Masoumi

We investigate the properties of vacuum decay taking into account a non-minimal coupling to gravity. We extend the standard thin-wall solution to include the non-minimal coupling and verify its validity by comparison with a full numerical…

High Energy Physics - Phenomenology · Physics 2017-01-23 Olga Czerwińska , Zygmunt Lalak , Marek Lewicki , Paweł Olszewski

We study the problem of false vacuum decay in arbitrary dimensions, in the presence of gravity, and compute the transition probability within the thin-wall approximation, generalising the results of Coleman and de Luccia. In the particular…

High Energy Physics - Theory · Physics 2025-12-16 Ignatios Antoniadis , Daniele Bielli , Auttakit Chatrabhuti , Hiroshi Isono

We use a field theoretic generalization of the Wigner-Weisskopf method to study the stability of the Bunch-Davies vacuum state for a massless, conformally coupled interacting test field in de Sitter space. We find that in $\lambda \phi^4$…

Cosmology and Nongalactic Astrophysics · Physics 2011-05-17 Daniel Boyanovsky , Richard Holman

Recently, the calculation of tunneling actions, that control the exponential suppression of the decay of metastable vacua, has been reformulated as an elementary variational problem in field space. This paper extends this formalism to…

High Energy Physics - Theory · Physics 2019-11-13 J. R. Espinosa

We find the novel effect on the decay of a false vacuum in view of quantum field theory, which is induced by a field coupling to the scalar field related to a first-order phase transition. This effect of the environment can never be…

High Energy Physics - Phenomenology · Physics 2010-09-13 Shigeki Matsumoto , Keiko I. Nagao , Makoto Nakamura , Masato Senami

A recent analysis of the false-vacuum decay in non-perturbative regimes is here extended in the presence of Einstein gravity, computing the corresponding effective potential and decay rate. We consider a $\lambda \phi^4$ scalar field theory…

High Energy Physics - Theory · Physics 2026-02-17 Gianluca Calcagni , Marco Frasca , Anish Ghoshal

Consistency of the unconventional view of de Sitter space as a quantum theory of gravity with a finite number of degrees of freedom requires that Coleman-De Luccia tunneling rates to vacua with negative cosmological constant should be…

High Energy Physics - Theory · Physics 2016-07-07 José R. Espinosa , Jean-François Fortin , Maxime Trépanier

We review the description of tunnelling phenomena in the semi-classical approximation in ordinary quantum mechanics and in quantum field theory. In particular, we describe in detail the calculation, up to the first quantum corrections, of…

High Energy Physics - Phenomenology · Physics 2022-08-30 Federica Devoto , Simone Devoto , Luca Di Luzio , Giovanni Ridolfi

False vacuum decay in field theory may be formulated as a boundary value problem in Euclidean space. In a previous work, we studied its solution in single scalar field theories with quadratic gravity and used it to find obstructions to…

General Relativity and Quantum Cosmology · Physics 2022-02-22 Silvia Vicentini , Massimiliano Rinaldi

We present a fast and efficient method for studying vacuum stability constraints in multi-scalar theories beyond the Standard Model. This method is designed for a reliable use in large scale parameter scans. The minimization of the scalar…

High Energy Physics - Phenomenology · Physics 2019-05-01 Wolfgang G. Hollik , Georg Weiglein , Jonas Wittbrodt

We explore the symmetry reduced form of a non-perturbative solution to the constraints of quantum gravity corresponding to quantum de Sitter space. The system has a remarkably precise analogy with the non-relativistic formulation of a…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Andrew Randono

We study the effects of a fixed de Sitter geometry background in scenarios of false vacuum decay. It is currently understood that bubble nucleation processes associated with first order phase transitions are particularly important in…

General Relativity and Quantum Cosmology · Physics 2022-09-12 Juan S. Cruz , Stephan Brandt , Maximilian Urban

We present new solutions of vacuum decay in non-Minkowski spacetimes. On a de Sitter background, the tunneling between vacuum states with a nonvanishing energy difference has been considered, whereas in the special case of degenerate vacua…

General Relativity and Quantum Cosmology · Physics 2010-04-20 Friedemann Queisser
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