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Related papers: Precise Calculation of the Decay Rate of False Vac…

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We study the gauge invariance of the decay rate of the false vacuum for the model in which the scalar field responsible for the false vacuum decay has gauge quantum number. In order to calculate the decay rate, one should integrate out the…

High Energy Physics - Phenomenology · Physics 2017-05-31 Motoi Endo , Takeo Moroi , Mihoko M. Nojiri , Yutaro Shoji

We discuss an exact false vacuum decay rate at one loop for a real and complex scalar field in a quartic-quartic potential with two tree-level minima. The bounce solution is used to compute the functional determinant from both fluctuations.…

High Energy Physics - Theory · Physics 2020-12-10 Victor Guada , Miha Nemevšek

The decay rate of a false vacuum is studied in gauge theory, paying particular attention to its gauge invariance. Although the decay rate should not depend on the gauge parameter $\xi$ according to the Nielsen identity, the gauge invariance…

High Energy Physics - Phenomenology · Physics 2017-12-06 Motoi Endo , Takeo Moroi , Mihoko M. Nojiri , Yutaro Shoji

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 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 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

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

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

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 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

The decay rate of a metastable vacuum is usually calculated using a semiclassical approximation to the Euclidean path integral. The extension to a complete Euclidean lattice Monte Carlo computation, however, is hampered by analytic…

High Energy Physics - Lattice · Physics 2023-05-30 Jiayu Shen , Patrick Draper , Aida X. El-Khadra

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 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

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 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

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

We investigate the role of nonperturbative, bubble-like inhomogeneities on the decay rate of false-vacuum states in two and three-dimensional scalar field theories. The inhomogeneities are induced by setting up large-amplitude oscillations…

High Energy Physics - Theory · Physics 2008-11-26 Marcelo Gleiser , Barrett Rogers , Joel Thorarinson

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 consider a model where a scalar field develops a metastable vacuum state and weakly interacts with another scalar field. In this situation we find the probability of decay of the false vacuum stimulated by the presence and collisions of…

High Energy Physics - Theory · Physics 2010-04-13 A. Monin , M. B. Voloshin

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
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