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In the standard lore the decay of the false vacuum of a single-field potential is described by a semi-classical Euclidean bounce configuration that can be found using overshoot/undershoot algorithms, and whose action suppresses…

High Energy Physics - Theory · Physics 2025-06-09 J. R. Espinosa , T. Konstandin

Vacuum decay in de Sitter space is a process of great physical interest, as it allows to rule out cosmological models in the early and current Universe. Its rate may be described in terms of an instanton in Euclidean space called bounce and…

General Relativity and Quantum Cosmology · Physics 2022-05-24 Silvia Vicentini

The decay rate of a false vacuum is determined by the minimal action solution of the tunnelling field: bounce. In this Letter, we focus on models with scalar fields which have a canonical kinetic term in $N(>2)$ dimensional Euclidean space,…

High Energy Physics - Phenomenology · Physics 2018-03-06 Ryosuke Sato , Masahiro Takimoto

Some false vacua do not decay via bounces. This usually happens when a flat direction of the tunneling action due to scale invariance is lifted to a sloping valley by a scale breaking perturbation, pushing the bounce off to infinity. We…

High Energy Physics - Theory · Physics 2021-12-22 J. R. Espinosa , J. Huertas

We consider a single real scalar field in flat spacetime with a polynomial potential up to $\phi^4$, that has a local minimum, the false vacuum, and a deeper global minimum, the true vacuum. When the vacua are almost degenerate we are in…

High Energy Physics - Theory · Physics 2025-04-04 Marco Matteini , Miha Nemevšek , Yutaro Shoji , Lorenzo Ubaldi

We revisit the problem of decay of a metastable vacuum induced by the presence of a particle. For the bosons of the `master field' the problem is solved in any number of dimensions in terms of the spontaneous decay rate of the false vacuum,…

High Energy Physics - Theory · Physics 2008-11-26 A. Gorsky , M. B. Voloshin

We investigate the bounce solutions in vacuum decay problems. We show that it is possible to have a stable false vacuum in a potential that is unbounded from below.

High Energy Physics - Theory · Physics 2019-05-22 J. A. González , A. Bellorín , Mónica A. García-Ñustes , L. E. Guerrero , S. Jiménez , Juan F. Marín , L. Vázquez

The standard bounce formalism for calculating the decay rate of a metastable vacuum cannot be applied to theories in which the symmetry breaking is due to radiative corrections, because in such theories the tree-level action has no bounce…

High Energy Physics - Phenomenology · Physics 2009-10-22 Erick J. Weinberg

Metastable states decay at zero temperature through quantum tunneling at an exponentially small rate, which depends on the Coleman-de Luccia instanton, also known as bounce. In some theories, the bounce may not exist or its on-shell action…

General Relativity and Quantum Cosmology · Physics 2022-03-15 Silvia Vicentini , Massimiliano Rinaldi

We use the anti-de Sitter/conformal field theory (AdS/CFT) correspondence to find the least bounce action in an AdS false vacuum state, i.e., the most probable decay process of the metastable AdS vacuum within the Euclidean formalism by…

High Energy Physics - Theory · Physics 2023-08-07 Naritaka Oshita , Yutaro Shoji , Masahide Yamaguchi

We derive a closed-form false vacuum decay rate at one loop in the thin wall limit, where the true and false vacua are nearly degenerate. We obtain the bounce configuration in $D$ dimensions, together with the Euclidean action with a higher…

High Energy Physics - Theory · Physics 2025-04-04 Aleksandar Ivanov , Marco Matteini , Miha Nemevšek , Lorenzo Ubaldi

We derive the first positivity bounds for low-energy Effective Field Theories (EFTs) that are not invariant under Lorentz boosts. "Positivity bounds" are the low-energy manifestation of certain fundamental properties in the UV -- to date…

High Energy Physics - Theory · Physics 2022-07-12 Tanguy Grall , Scott Melville

Chaotic quantum systems at finite energy density are expected to act as their own heat baths, rapidly dephasing local quantum superpositions. We argue that in fact this dephasing is subexponential for chaotic dynamics with conservation laws…

We compute bounce solutions describing false vacuum decay in a Phi**4 model in four dimensions with quantum back-reaction. The back-reaction of the quantum fluctuations on the bounce profiles is computed in the one-loop and Hartree…

High Energy Physics - Theory · Physics 2014-11-18 Jurgen Baacke , Nina Kevlishvili

We develop a new method for estimating the decay probability of the false vacuum via regularized instantons. Namely, we consider the case where the potential is either unbounded from below or the second minimum corresponding to the true…

High Energy Physics - Theory · Physics 2022-08-10 V. F. Mukhanov , A. S. Sorin

I have calculated the exponential suppression factor in the decay rate of the false vacuum (per unit volume) for a real scalar field at finite temperature, in the presence of gravity, in the thin-wall approximation. Temperatures are assumed…

High Energy Physics - Theory · Physics 2007-05-23 Lee C. Loveridge

The rate and manner of vacuum decay are calculated in an explicit flux compactification, including all thick-wall and gravitational effects. For landscapes built of many units of a single flux, the fastest decay is usually to discharge just…

High Energy Physics - Theory · Physics 2011-09-26 Adam R. Brown , Alex Dahlen

Consider the dynamics of a gas bubble in an inviscid, compressible liquid with surface tension. Kinematic and dynamic boundary conditions couple the bubble surface deformation dynamics with the dynamics of waves in the fluid. This system…

Analysis of PDEs · Mathematics 2015-03-14 A. M. Shapiro , M. I. Weinstein

We reconsider the toy model studied in [1] of a spatially closed Friedmann-Lemaitre universe, driven by a massive scalar field, which deflates quasi-exponentially, bounces and then enters a period of standard inflation. We find that the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Nathalie Deruelle , Andreas Streich

We explore the possibility of avoiding cosmological singularity with a bounce solution in the early Universe. The main finding is that simple and well-known semiclassical correction, which describes the mixing of radiation and gravity in…

General Relativity and Quantum Cosmology · Physics 2024-10-07 Wagno Cesar e Silva , Ilya L. Shapiro
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