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We quantitatively characterize the metastability in a multi-phase lattice Boltzmann model. The structure factor of density fluctuations is theoretically obtained and numerically verified to a high precision, for all simulated wave-vectors…

Statistical Mechanics · Physics 2022-12-20 Matteo Lulli , Luca Biferale , Giacomo Falcucci , Mauro Sbragaglia , Dong Yang , Xiaowen Shan

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

In many systems, nucleation of a stable solid may occur in the presence of other (often more than one) metastable phases. These may be polymorphic solids or even liquid phases. In such cases, nucleation of the solid phase from the melt may…

Materials Science · Physics 2013-04-08 Mantu Santra , Rakesh S. Singh , Biman Bagchi

The decay of a metastable false vacuum by bubble nucleation is studied in the high temperature limit of the gauge theory in which an SO(3) gauge symmetry is spontaneously broken to an SO(2). The effects of internal symmetry are so drastic…

High Energy Physics - Phenomenology · Physics 2009-10-31 Yoonbai Kim , Seung Joo Lee , Kei-ichi Maeda , Nobuyuki Sakai

Given a scalar field with metastable minima, bubbles nucleate quantum mechanically. When bubbles collide, energy stored in the bubble walls is converted into kinetic energy of the field. This kinetic energy can facilitate the classical…

High Energy Physics - Theory · Physics 2009-12-31 Richard Easther , John T. Giblin , Lam Hui , Eugene A. Lim

We revisit the perturbative expansion at high temperature and investigate its convergence by inspecting the renormalisation scale dependence of the effective potential. Although at zero temperature the renormalisation group improved…

High Energy Physics - Phenomenology · Physics 2021-06-24 Oliver Gould , Tuomas V. I. Tenkanen

We generalize the standard computation of homogeneous nucleation theory at zero temperature to a scenario in which the bubble shape is determined self-consistently with its quantum fluctuations. Studying two scalar models in 1+1 dimensions,…

High Energy Physics - Phenomenology · Physics 2009-11-10 Y. Bergner , Luis M. A. Bettencourt

The decay of a metastable system is described by extending Kramers' method to the quantal regime. For temperatures above twice the crossover value we recover the result known from applying Euclidean path integrals to solvable models. Our…

Nuclear Theory · Physics 2009-10-22 Helmut Hofmann , Gert-Ludwig Ingold , Markus H. Thoma

Variational perturbation theory is used to determine the decay rates of metastable states across a cubic barrier of arbitrary height. For high barriers, a variational resummation procedure is applied to the complex energy eigenvalues…

Quantum Physics · Physics 2016-08-15 H. Kleinert , I. Mustapic

We study the Electroweak phase transition with the Standard Model effective field theory at finite temperature and finite density. Utilizing the dimensional reduction approach, we construct the tree dimensional thermal effective field…

High Energy Physics - Phenomenology · Physics 2024-07-03 Renhui Qin , Ligong Bian

We investigate the role played by fast quenching on the decay of metastable (or false vacuum) states. Instead of the exponentially-slow decay rate per unit volume, $\Gamma_{\rm HN} \sim \exp[-E_b/k_BT]$ ($E_b$ is the free energy of the…

High Energy Physics - Phenomenology · Physics 2011-07-19 Marcelo Gleiser , Rafael Howell

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 consider multiple non-interacting quantum mechanical two-level systems coupled to a common bosonic bath and study its quantum phase transition with Monte Carlo simulations using a continuous imaginary time cluster algorithm. The common…

Statistical Mechanics · Physics 2014-12-10 André Winter , Heiko Rieger

We investigate metastability in the two dimensional Ising model in a square with free boundary conditions at low temperatures. Starting with all spins down in a small positive magnetic field, we show that the exit from this metastable phase…

Statistical Mechanics · Physics 2015-06-25 E. N. M. Cirillo , J. L. Lebowitz

We develop a method for the construction of the effective potential at high temperatures based on the effective field theory approach and renormalization group. It allows one to sum up the leading logarithms in all orders of perturbation…

High Energy Physics - Phenomenology · Physics 2009-10-28 K. Farakos , K. Kajantie , K. Rummukainen , M. Shaposhnikov

The Euclidean action is calculated in the thin-wall approximation for a first-order vacuum phase transition in which the bubble appears symmetrically around either a global monopole or a gauge cosmic string. The bubble is assumed to be much…

General Relativity and Quantum Cosmology · Physics 2009-10-28 William A. Hiscock

The vacuum decay in the early Universe should be gauge-invariant. In this work, we study the gauge dependence of the vacuum decay occurring through a first-order phase transition and the associated gravitational wave production. We…

High Energy Physics - Phenomenology · Physics 2026-01-12 Jie Liu , Renhui Qin , Ligong Bian

The decay of metastable states is dominated by quantum tunneling at low temperatures and by thermal activation at high temperatures. The escape rate of a particle out of a square well is calculated within a semi-classical approximation and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Denis A. Gorokhov , Rava A. da Silveira

Focusing on supercooled phase transitions in models with classical scale symmetry, we formulate a state-of-the art framework for computing the bubble-nucleation rate, accounting for the presence of various energy scales. In particular, we…

High Energy Physics - Phenomenology · Physics 2025-11-14 Maciej Kierkla , Philipp Schicho , Bogumila Swiezewska , Tuomas V. I. Tenkanen , Jorinde van de Vis

In a recently proposed Higgs-Seesaw model the observed scale of dark energy results from a metastable false vacuum energy associated with mixing of the standard model Higgs particle and a scalar associated with new physics at the GUT or…

High Energy Physics - Phenomenology · Physics 2014-04-23 Lawrence M. Krauss , Andrew J. Long