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We derive fermionic Green's functions in the background of the Euclidean solitons describing false vacuum decay in a prototypal Higgs-Yukawa theory. In combination with appropriate counterterms for the masses, couplings and wave-function…

High Energy Physics - Theory · Physics 2018-10-29 Wen-Yuan Ai , Bjorn Garbrecht , Peter Millington

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 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 introduce a Green's function method for handling radiative effects on false vacuum decay. In addition to the usual thin-wall approximation, we achieve further simplification by treating the bubble wall in the planar limit. As an…

High Energy Physics - Theory · Physics 2015-06-03 Bjorn Garbrecht , Peter Millington

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 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

In field theories where a metastable false vacuum state arises as a result of radiative corrections, the calculation of the rate of false vacuum decay by bubble nucleation depends on the effective potential and the other functions that…

High Energy Physics - Phenomenology · Physics 2009-10-28 Dimitrios Metaxas , Erick J. Weinberg

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 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 consider radiative corrections to false vacuum decay within the framework of quantum mechanics for the general potential of the form 1/2 M q^2 (q-A)(q-B), where M , A and B are arbitrary parameters. For this type of potential we provide…

High Energy Physics - Phenomenology · Physics 2017-08-15 M. A. Bezuglov , A. I. Onishchenko

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

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 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 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 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

Recently it was discovered that the Standard Model vacuum may suffer an essential metastability near the Planck scale. In this regard it makes sense to study in more detail the decay processes of the metastable vacuum and to develop methods…

High Energy Physics - Phenomenology · Physics 2019-03-27 M. A. Bezuglov , A. I. Onishchenko

With the Higgs mass now measured at the sub-percent level, the potential metastability of the electroweak vacuum of the Standard Model (SM) motivates renewed study of false vacuum decay in quantum field theory. In this note, we describe an…

High Energy Physics - Phenomenology · Physics 2017-08-24 Bjorn Garbrecht , Peter Millington

We consider a formalism to describe the false-vacuum decay of a scalar field in gauge theories in non-perturbative regimes. We find that the larger the gauge coupling with respect to the self-coupling of the scalar, the shallower the local…

High Energy Physics - Theory · Physics 2024-03-07 Gianluca Calcagni , Marco Frasca , Anish Ghoshal

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
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