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Related papers: Exact one-loop false vacuum decay rate

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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 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 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 develop a method for accurately calculating vacuum decay rates beyond the thin-wall regime in a pure scalar field theory at the one-loop level of the effective action. It accounts for radiative effects resulting from quantum corrections…

High Energy Physics - Phenomenology · Physics 2024-02-22 Wen-Yuan Ai , Jean Alexandre , Sarben Sarkar

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 present a fully analytical calculation of the false vacuum decay rate for a self-interacting scalar field in the thin-wall approximation. We obtain the bounce solution, together with the Euclidean action, counter-terms and…

High Energy Physics - Theory · Physics 2023-04-07 Marco Matteini , Miha Nemevšek , Lorenzo Ubaldi

We evaluate the one-loop prefactor in the false vacuum decay rate in a theory of a self interacting scalar field in 3+1 dimensions. We use a numerical method, established some time ago, which is based on a well-known theorem on functional…

High Energy Physics - Theory · Physics 2009-11-10 Jurgen Baacke , George Lavrelashvili

We examine the computation of the nucleation barrier used in the expression for false vacuum decay rates in finite temperature field theory. By a detailed analysis of the determinantal prefactor, we show that the correct bounce solution…

High Energy Physics - Phenomenology · Physics 2009-10-22 M. Gleiser , G. C. Marques , R. O. Ramos

We consider radiative corrections to false vacuum decay in a four-dimensional scalar field theory with cubic and quartic potential. Using planar thin wall approximation we were able to get analytical expression for the decay rate up to two…

High Energy Physics - Phenomenology · Physics 2019-03-28 M. A. Bezuglov , A. I. Onishchenko

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

We compute bounce solutions describing false vacuum decay in a Phi**4 model in two dimensions in the Hartree approximation, thus going beyond the usual one-loop corrections to the decay rate. We use zero energy mode functions of the…

High Energy Physics - Theory · Physics 2009-11-10 Jurgen Baacke , Nina Kevlishvili

We perform a precise calculation of the decay rate of the electroweak vacuum in the standard model as well as in models beyond the standard model. We use a recently-developed technique to calculate the decay rate of a false vacuum, which…

High Energy Physics - Phenomenology · Physics 2018-06-20 So Chigusa , Takeo Moroi , Yutaro Shoji

We use some exact results in the scalar field theory to revise the analysis by Coleman and Callan about the false vacuum decay and propose a simple non-perturbative formalism. We introduce exact Green's function which incorporates…

High Energy Physics - Theory · Physics 2024-01-22 Marco Frasca , Anish Ghoshal , Nobuchika Okada

We study false vacuum decay for a gauged complex scalar field in a polynomial potential with nearly degenerate minima. Radiative corrections to the profile of the nucleated bubble as well as the full decay rate are computed in the planar…

High Energy Physics - Theory · Physics 2020-10-07 Wen-Yuan Ai , Juan S. Cruz , Bjorn Garbrecht , Carlos Tamarit

We present a general numerical method for computing precisely the false vacuum decay rate, including the prefactor due to quantum fluctuations about the classical bounce solution, in a self-interacting scalar field theory modeling the…

High Energy Physics - Theory · Physics 2009-11-11 Gerald V. Dunne , Hyunsoo Min

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

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

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

We derive simple expressions to regularise functional determinants from fluctuations of fields with spin 0, 1/2, and 1. These are important for the precise dimensionful determination of false vacuum decay rates. We work in $D = 4$ Euclidean…

High Energy Physics - Phenomenology · Physics 2025-04-04 Pietro Baratella , Miha Nemevšek , Yutaro Shoji , Katarina Trailović , Lorenzo Ubaldi

We present a systematic framework for calculating the vacuum decay rate in D-dimensional electroweak theories, providing a unified treatment of quantum fluctuations for scalar, fermion, and gauge boson fields via a combined WKB expansion…

High Energy Physics - Phenomenology · Physics 2026-01-21 Jingwei Wang , Ligong Bian
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