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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

We study zero-temperature false vacuum decay in $D$ compact spatial dimensions and show that for volumes below a critical value a new bounce solution, different from Coleman's celebrated $O(D)$ bubble, mediates the decay process, and…

High Energy Physics - Theory · Physics 2026-05-13 Saquib Hassan , John March-Russell

The vacuum decay in a de Sitter universe is studied within semiclassical approximation for the class of effective inflaton potentials whose curvature at the top is close to a critical value. By comparing the actions of the Hawking - Moss…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Michal Demetrian

At present, cosmological observations set the most stringent bound on the neutrino mass scale. Within the standard cosmological model ($\Lambda$CDM), the Planck collaboration reports $\sum m_\nu < 0.12\,\text{eV}$ at 95% CL. This bound,…

High Energy Physics - Phenomenology · Physics 2021-09-06 Miguel Escudero , Jacobo Lopez-Pavon , Nuria Rius , Stefan Sandner

In the presence of fermionic matter the topologically distinct vacua of the standard model are metastable and can decay by tunneling through the sphaleron barrier. This process annihilates one fermion per doublet due to the anomalous…

High Energy Physics - Phenomenology · Physics 2016-09-01 Joerg Schaldach , Peter Sieber , Dmitri Diakonov , Klaus Goeke

In the standard procedure for calculating the decay rate of a metastable vacuum the solution of the classical Euclidean equation of motion of the background field is needed. On the other hand radiative corrections have to be taken into…

High Energy Physics - Phenomenology · Physics 2009-10-30 Arnd Surig

We investigate the bounce realization arising from the application of the holographic principle in the early universe, inspired by its well-studied late-time application. We first consider as Infrared cutoffs the particle and future event…

General Relativity and Quantum Cosmology · Physics 2019-10-28 Shin'ichi Nojiri , Sergei D. Odintsov , Emmanuel N. Saridakis

We consider the decay of a false vacuum in circumstances where the methods suggested by Coleman run into difficulties. We find that in these cases quantum fluctuations play a crucial role. Namely, they naturally induce both an ultraviolet…

High Energy Physics - Theory · Physics 2021-08-04 Viatcheslav Mukhanov , Eliezer Rabinovici , Alexander Sorin

A mechanism for lifting the cosmological upper bound on the axion decay constant, $f_a$, is proposed. It entails the near masslessness of the radial mode whose vacuum expectation value is $f_a$. Energy in the coherent oscillations of the…

High Energy Physics - Phenomenology · Physics 2011-05-12 S. M. Barr

The probability of destruction of a metastable vacuum state by the field of a highly virtual particle with energy $E$ is calculated for a (3+1) dimensional theory in the leading WKB approximation in the thin-wall limit. It is found that the…

High Energy Physics - Phenomenology · Physics 2009-10-22 M. B. Voloshin

Bounce-averaged theories provide a framework for simulating relatively slow processes, such as collisional transport and quasilinear diffusion, by averaging these processes over the fast periodic motions of a particle on a closed orbit.…

Plasma Physics · Physics 2025-07-02 I. E. Ochs

The 'thin-wall approximation' gives a simple estimate of the decay rate of an unstable quantum field. Unfortunately, the approximation is uncontrolled. In this paper I show that there are actually two different thin-wall approximations and…

High Energy Physics - Theory · Physics 2018-11-28 Adam R. Brown

The false vacuum decay has been a central theme in physics for half a century with applications to cosmology and to the theory of fundamental interactions. This fascinating phenomenon is even more intriguing when combined with the…

Statistical Mechanics · Physics 2021-11-19 Gianluca Lagnese , Federica Maria Surace , Márton Kormos , Pasquale Calabrese

We study the decay rate of a false vacuum in gauge theory at the one-loop level. We pay particular attention to the case where the bounce consists of an arbitrary number of scalar fields. With a multi-field bounce, which has a curved…

High Energy Physics - Phenomenology · Physics 2020-12-02 So Chigusa , Takeo Moroi , Yutaro Shoji

We study radiative corrections to the decay rate of false vacua, paying particular attention to the renormalization-scale dependence of the decay rate. The decay rate exponentially depends on the bounce action. The bounce action itself is…

High Energy Physics - Phenomenology · Physics 2016-02-17 Motoi Endo , Takeo Moroi , Mihoko M. Nojiri , Yutaro Shoji

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 study a gauge theory model where there is an intermediate symmetry breaking to a meta- stable vacuum that breaks a simple gauge group to a U (1) factor. Such models admit the existence of meta-stable magnetic monopoles, which we dub…

High Energy Physics - Theory · Physics 2014-11-21 Brijesh Kumar , M. B. Paranjape , U. A. Yajnik

The decays of pseudoscalar mesons to real and virtual photons as well as neutrino-antineutrino pairs are considered in the framework of the dispersive method based on Anomaly Sum Rules. The contribution of singlet channel involving the new…

High Energy Physics - Phenomenology · Physics 2025-12-19 Xurong Chen , Sergey Khlebtsov , Armen Oganesian , Oleg Teryaev

The decay of a metastable false vacuum by bubble nucleation is studied in the high temperature limit of the gauge theory in which an SO(3) gauge symmetry is spontaneously broken to an SO(2). The effects of internal symmetry are so drastic…

High Energy Physics - Phenomenology · Physics 2009-10-31 Yoonbai Kim , Seung Joo Lee , Kei-ichi Maeda , Nobuyuki Sakai

The bounce solutions of self-interacting scalar fields coupled to gravity are studied using a semi-classical approach. We found that bounce solutions have a maximum required barrier curvature, in addition to the known minimum required…

General Relativity and Quantum Cosmology · Physics 2018-01-29 Nicholas W. K. Wong , Jiangbin Gong , Yen-Kheng Lim , Qing-hai Wang