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Cavitation and bubble dynamics are central concepts in engineering, the natural sciences, and the mathematics of fluid mechanics. Due to the nonlinear nature of their dynamics, the governing equations are not fully solvable. Here, the…

Fluid Dynamics · Physics 2014-10-15 Alexander R. Klotz

The bounce solutions of self-interacting scalar fields coupled to gravity are studied using a semi-classical approach. We found that bounce solutions have a maximum required barrier curvature, in addition to the known minimum required…

General Relativity and Quantum Cosmology · Physics 2018-01-29 Nicholas W. K. Wong , Jiangbin Gong , Yen-Kheng Lim , Qing-hai Wang

We investigate vacuum decays in the early Universe in the presence of curvature perturbations. For sufficiently large perturbations associated with over-densities, we find that the bounce solution develops an oscillating middle stage near…

High Energy Physics - Phenomenology · Physics 2026-04-03 Zi-Yan Yuwen , Rong-Gen Cai , Shao-Jiang Wang

We calculate the velocity and thickness of a bubble wall at the electroweak phase transition in the Minimal Standard Model. We model the wall with semiclassical equations of motion and show that friction arises from the deviation of massive…

High Energy Physics - Phenomenology · Physics 2016-09-01 Guy D. Moore , Tomislav Prokopec

Relativistic bubble walls from cosmological phase transitions (PT) necessarily accumulate expanding shells of particles. We systematically characterize shell properties, and identify and calculate the processes that prevent them from free…

High Energy Physics - Phenomenology · Physics 2024-05-22 Iason Baldes , Maximilian Dichtl , Yann Gouttenoire , Filippo Sala

We examine theoretical uncertainties in state-of-the-art calculations of the bubble wall velocity during first-order cosmological phase transitions. By utilising the software WallGo for two extensions of the Standard Model, we find several…

High Energy Physics - Phenomenology · Physics 2025-12-01 Jorinde van de Vis , Philipp Schicho , Lauri Niemi , Benoit Laurent , Joonas Hirvonen , Oliver Gould

Realizations of scale invariance are studied in the context of a gravitational theory where the action (in the first order formalism) is of the form $S = \int L_{1} \Phi d^{4}x$ + $\int L_{2}\sqrt{-g}d^{4}x$ where $\Phi$ is a density built…

General Relativity and Quantum Cosmology · Physics 2009-10-31 E. I. Guendelman

The effective potential of $\lambda\phi^4_{1+3}$ model with both sign of parameter $m^2$ is evaluated at T=0 by means of a simple but effective method for regularization and renormalization. Then at $T\ne 0$, the effective potential is…

High Energy Physics - Theory · Physics 2007-05-23 Guang-jiong Ni , Su-qing Chen

We consider co--rotational wave maps from (3+1) Minkowski space into the three--sphere. This is an energy supercritical model which is known to exhibit finite time blow up via self-similar solutions. The ground state self--similar solution…

Analysis of PDEs · Mathematics 2011-05-25 Roland Donninger

We present a new approach to studies of bubble dynamics in fluids. Relying on particle-based simulations, this method is general and suitable for cases where the commonly used perfect fluid description fails. We study expanding true vacuum…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-14 Marek Lewicki , Ville Vaskonen , Hardi Veermäe

We study a class of fourth order geometric equations defined on a 4-dimensional compact Riemannian manifold which includes the Q-curvature equation. We obtain sharp estimates on the difference near the blow-up points between a bubbling…

Differential Geometry · Mathematics 2010-06-21 Gilbert Weinstein , Lei Zhang

A gauge-invariant framework for computing bubble nucleation rates at finite temperature in the presence of radiative barriers was presented and advocated for model-building and phenomenological studies in an accompanying article…

High Energy Physics - Phenomenology · Physics 2022-08-10 Joonas Hirvonen , Johan Löfgren , Michael J. Ramsey-Musolf , Philipp Schicho , Tuomas V. I. Tenkanen

We construct various exact analytical solutions of the $SO(3)$ BMN matrix model that correspond to rotating fuzzy spheres and rotating fuzzy tori.These are also solutions of Yang Mills theory compactified on a sphere times time and they are…

High Energy Physics - Theory · Physics 2015-06-16 David Berenstein , Eric Dzienkowski , Robin Lashof-Regas

Using the holographic correspondence as a tool, we determine the steady-state velocity of expanding vacuum bubbles nucleated within chiral finite temperature first-order phase transitions occurring in strongly-coupled large $N$ QCD-like…

High Energy Physics - Phenomenology · Physics 2021-10-06 Francesco Bigazzi , Alessio Caddeo , Tommaso Canneti , Aldo L. Cotrone

We apply the effective potential method to study the vacuum stability of the bounded from above $(-\phi^{6})$ (unstable) quantum field potential. The stability ($\partial E/\partial b=0)$ and the mass renormalization ($\partial^{2}…

High Energy Physics - Theory · Physics 2015-03-17 Abouzeid. M. Shalaby

We present a unified description of first-order cosmological phase transition dynamics that links the phenomenological friction model employed in hydrodynamic simulations to the microscopic treatment based on Boltzmann equations. We derive…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-26 Tomasz Krajewski , Marek Lewicki , Marco Merchand , Ignacy Nałęcz , Mateusz Zych

By means of a relativistic microscopic approach we calculate the expansion velocity of bubbles generated during a first-order electroweak phase transition. In particular, we use the gradient expansion of the Kadanoff-Baym equations to set…

High Energy Physics - Phenomenology · Physics 2015-06-22 Thomas Konstandin , Germano Nardini , Ingo Rues

The autonomous renormalization of the O(N)-symmetric scalar theory is based on an infinite re-scaling of constant fields, whereas finite-momentum modes remain finite. The natural framework for a detailed analysis of this method is a system…

High Energy Physics - Theory · Physics 2009-10-22 Uwe Ritschel

Analytical approximations for ${< \phi^2 >}$ and ${< T^{\mu}_{\nu} >}$ of a quantized scalar field in static spherically symmetric spacetimes are obtained. The field is assumed to be both massive and massless, with an arbitrary coupling…

High Energy Physics - Theory · Physics 2010-11-19 Arkady A. Popov

We consider an interacting theory of an infinite tower of massless higher-spin fields in flat space with cubic vertices and their coupling constants found previously by Metsaev. We compute the one-loop bubble diagram part of the self-energy…

High Energy Physics - Theory · Physics 2016-06-07 Dmitry Ponomarev , Arkady A. Tseytlin
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