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Distinguishing whether a system supports alternate low-energy (locally stable) states -- stable (true vacuum) versus metastable (false vacuum) -- by direct observation can be difficult when the lifetime of the state is very long but…

Statistical Mechanics · Physics 2024-12-17 Gianluca Lagnese , Federica Maria Surace , Sid Morampudi , Frank Wilczek

We investigate quantum tunneling in the theory of a complex scalar field with a global $U(1)$ symmetry when the charge density of the initial configuration does not vanish. We discuss the possible final configurations and set up the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Kimyeong Lee

The decay rate for a particle in a metastable cubic potential is investigated in the quantum regime by the Euclidean path integral method in semiclassical approximation. The imaginary time formalism allows one to monitor the system as a…

Statistical Mechanics · Physics 2008-04-22 Marco Zoli

We study the decay of general initial states out of a metastable potential well in quantum mechanics. We provide a closed-form expression for the probability current that tunnels through the barrier in terms of the resonant states into…

Quantum Physics · Physics 2026-05-07 Oliver Janssen , Matthew Kleban , Cameron Norton

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

In contrast to the complex $\phi^4$ model, vortex-antivortex collisions in the complex $\phi^6$ theory reveal a resonant structure due to the existence of a remarkably stable, long-lived, large amplitude oscillon in the broken vacuum.…

High Energy Physics - Theory · Physics 2026-03-31 D. Canillas Martínez , A. González-Parra , D. Miguélez-Caballero , A. Wereszczynski

The necessary and sufficient condition for the false vacuum decay in a de Sitter universe via Coleman - de Luccia instanton is applied on the scalar field with quasi - exponential potential.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Michal Demetrian

We consider a finite-size spherical bubble with a nonequilibrium value of the $q$-field, where the bubble is immersed in an infinite vacuum with the constant equilibrium value $q_{0}$ for the $q$-field (this $q_{0}$ has already cancelled an…

General Relativity and Quantum Cosmology · Physics 2019-11-04 F. R. Klinkhamer , O. P. Santillan , G. E. Volovik , A. Zhou

This is the first in a series of papers where we study the dynamics of a bubble wall beyond usual approximations, such as the assumptions of spherical bubbles and infinitely thin walls. In this paper, we consider a vacuum phase transition.…

General Relativity and Quantum Cosmology · Physics 2023-06-28 Ariel Mégevand , Federico Agustín Membiela

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

Techniques from effective field theory are applied to nuclear rotation. This approach exploits the spontaneous breaking of rotational symmetry and the separation of scale between low-energy Nambu-Goldstone rotational modes and high-energy…

Nuclear Theory · Physics 2011-07-15 T. Papenbrock

In quantum field theory it is believed that the spontaneous decay of excited atomic or molecular level is due to the interaction with continuum of field modes. Besides, the atom makes a transition from upper level to lower one so that the…

Spectral Theory · Mathematics 2022-02-22 E. A. Ianovich

We discuss the response of a quantum system to a time-dependent perturbation with spectrum \Phi(\omega). This is characterised by a rate constant D describing the diffusion of occupation probability between levels. We calculate the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Michael Wilkinson , Bernhard Mehlig , Doron Cohen

We propose a simple non-perturbative formalism for false vacuum decay using functional methods. We introduce the quasi-stationary effective action, a bounce action that non-perturbatively incorporates radiative corrections and is robust to…

High Energy Physics - Theory · Physics 2023-07-11 Djuna Croon , Eleanor Hall , Hitoshi Murayama

A free-theory vacuum state of an interacting field theory, e.g. quantum gravity, is unstable at tree level in general due to spontaneous emission of Fock-space particles in any spacetime with no global timelike Killing vectors, such as de…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Atsushi Higuchi

Classical-statistical lattice simulations provide a useful approximation to out-of-equilibrium quantum field theory, but only for systems exhibiting large occupation numbers, and only for phenomena that are not intrinsically quantum…

High Energy Physics - Lattice · Physics 2022-10-19 Anders Tranberg , Gerhard Ungersbäck

We present a new method for calculating the bubble nucleation rate in first order phase transitions non-perturbatively on the lattice. The method takes into account all fluctuations and the full dynamical pre-factor. We also present results…

High Energy Physics - Lattice · Physics 2007-05-23 Guy D. Moore , Kari Rummukainen , Anders Tranberg

A new approach to vacuum decay in quantum field theory, based on a simple variational formulation in field space using a tunneling potential, is ideally suited to study the effects of gravity on such decays. The method allows to prove in…

High Energy Physics - Theory · Physics 2020-08-05 J. R. Espinosa

The fluctuation determinant which determines the preexponential factor of the transition rate for minimal bubbles is computed for the electroweak theory with $\sin \Theta_W = 0$. As the basic action we use the three-dimensional…

High Energy Physics - Phenomenology · Physics 2016-09-01 J. Baacke

We present an inflationary universe model which utilizes two coupled real scalar fields. The inflation field $\phi$ experiences a first order phase transition and its potential dominates the energy density of the Universe during the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Fred C. Adams , Katherine Freese