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Ultracold atomic gases can undergo phase transitions that mimic relativistic vacuum decay, allowing us to empirically test early-Universe physics in tabletop experiments. We investigate the physics of these analog systems, going beyond…

The computation of the one-loop effective action in a radially symmetric background can be reduced to a sum over partial-wave contributions, each of which is the logarithm of an appropriate one-dimensional radial determinant. While these…

High Energy Physics - Theory · Physics 2008-11-26 Gerald V. Dunne , Jin Hur , Choonkyu Lee

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

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 review the description of tunnelling phenomena in the semi-classical approximation in ordinary quantum mechanics and in quantum field theory. In particular, we describe in detail the calculation, up to the first quantum corrections, of…

High Energy Physics - Phenomenology · Physics 2022-08-30 Federica Devoto , Simone Devoto , Luca Di Luzio , Giovanni Ridolfi

We develop a new real-time approach to vacuum decay based on a reduction to a finite number of degrees of freedom. The dynamics is followed by solving a generalized Schr\"odinger equation. We first apply this method to a real scalar field…

Quantum Physics · Physics 2020-03-04 Florent Michel

We study the effect of the Gauss-Bonnet term on vacuum decay process in the Coleman-De Luccia formalism. The Gauss-Bonnet term has an exponential coupling with the real scalar field, which appears in the low energy effective action of…

High Energy Physics - Theory · Physics 2009-01-16 Rong-Gen Cai , Bin Hu , Seoktae Koh

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

I show that an application of renormalization group arguments may lead to significant corrections to the vacuum decay rate for phase transitions in flat and curved space-time. It can also give some information regarding its dependence on…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. Metaxas

We introduce a new picture of vacuum decay which, in contrast to existing semiclassical techniques, provides a real-time description and does not rely on classically-forbidden tunneling paths. Using lattice simulations, we observe vacuum…

High Energy Physics - Theory · Physics 2019-07-24 Jonathan Braden , Matthew C. Johnson , Hiranya V. Peiris , Andrew Pontzen , Silke Weinfurtner

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

We study the decay of a thermally excited metastable vacuum in classical field theory using real-time numerical simulations. We find a significantly lower decay rate than predicted by standard thermal theory at moderate temperatures,…

High Energy Physics - Theory · Physics 2026-03-31 Dalila Pîrvu , Andrey Shkerin , Sergey Sibiryakov

We suggest a technique that explicitly accounts for the structure of an initial state of quantum field in the semiclassical calculations of path integral in curved space-time, and consider decay of metastable state (conformal vacuum of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 V. A. Rubakov , S. M. Sibiryakov

The tunneling wave function of the universe is calculated exactly for a de Sitter minisuperspace model with a massless conformally coupled scalar field, both by solving the Wheeler-DeWitt equation and by evaluating the Lorentzian path…

General Relativity and Quantum Cosmology · Physics 2019-04-03 Alexander Vilenkin , Masaki Yamada

Temperature plays a crucial role in metastable phenomena, not only by contributing to determine the state (phase) of a system, but also ruling the decay probability to more stable states. Such a situation is encountered in many different…

We investigate the dissipation rate of a scalar field in the vicinity of the phase transition and the ordered phase, specifically within the universality class of model A. This dissipation rate holds significant physical relevance,…

High Energy Physics - Theory · Physics 2024-01-03 Laura Batini , Eduardo Grossi , Nicolas Wink

We consider any pseudo holomorphic integral 2-cycle in an arbitrary almost complex manifold and perform a blow up analysis at an arbitrary point. Building upon a pseudo algebraic blow up (previously introduced by the author) we prove a…

Analysis of PDEs · Mathematics 2015-07-24 Costante Bellettini

We consider the decay of "false kinks," that is, kinks formed in a scalar field theory with a pair of degenerate symmetry-breaking false vacua in 1+1 dimensions. The true vacuum is symmetric. A second scalar field and a peculiar potential…

High Energy Physics - Theory · Physics 2015-07-29 Éric Dupuis , Yan Gobeil , Richard MacKenzie , Luc Marleau , M. B. Paranjape , Y. Ung

We consider the Skyrme model modified by the addition of mass terms which explicitly break chiral symmetry and pick out a specific point on the model's target space as the unique true vacuum. However, they also allow the possibility of…

High Energy Physics - Theory · Physics 2019-02-06 Éric Dupuis , Mareike Haberichter , Richard MacKenzie , M. B. Paranjape , U. A. Yajnik

Scalar field theory with an asymmetric potential is studied at zero temperature and high-temperature for $\phi^6$ potential. The equations of motion are solved numerically to obtain O(4) spherical symmetric and O(3) cylindrical symmetric…

High Energy Physics - Theory · Physics 2015-05-13 Hatem Widyan