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We study gauge dependence of gravitational waves produced from a first-order phase transition in classical scale-invariant $U(1)'$ models. Accidental gauge independence of the one-loop effective potential in this class of models is spoiled…

High Energy Physics - Phenomenology · Physics 2017-12-14 Cheng-Wei Chiang , Eibun Senaha

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

We critically examine the magnitude of theoretical uncertainties in perturbative calculations of first-order phase transitions, using the Standard Model effective field theory as our guide. In the usual daisy-resummed approach, we find…

High Energy Physics - Phenomenology · Physics 2021-04-14 Djuna Croon , Oliver Gould , Philipp Schicho , Tuomas V. I. Tenkanen , Graham White

We present a comprehensive analysis of high-temperature vacuum decay and the resulting stochastic gravitational wave (GW) background within the framework of general scale-invariant models. The effective potential is constructed to include…

High Energy Physics - Phenomenology · Physics 2025-10-07 Ahmad Mohamadnejad

In principle, observables as for example the sphaleron rate or the tunneling rate in a first-order phase transition are gauge-independent. However, in practice a gauge dependence is introduced in explicit perturbative calculations due to…

High Energy Physics - Phenomenology · Physics 2012-08-09 Mathias Garny , Thomas Konstandin

We present a new approach to gauge-invariant cosmological perturbations at second order, which is also covariant. We examine two cases in particular for a dust Friedman-Lemaitre-Robertson-Walker model of any curvature: we investigate…

Astrophysics · Physics 2014-10-13 Chris Clarkson

Using the extended ADM-phase space formulation in the canonical framework we analyze the relationship between various gauge choices made in cosmological perturbation theory and the choice of geometrical clocks in the relational formalism.…

General Relativity and Quantum Cosmology · Physics 2018-07-25 Kristina Giesel , Adrian Herzog , Parampreet Singh

We investigate the effect of higher-dimensional marginal operators on the thermodynamics of cosmological phase transitions. Focusing on the Abelian Higgs model, we systematically match these operators, which arise at higher orders in the…

High Energy Physics - Phenomenology · Physics 2025-03-25 Fabio Bernardo , Philipp Klose , Philipp Schicho , Tuomas V. I. Tenkanen

In this work, we investigate the relation between higher-dimensional gauge theories and stochastic gravitational wave (GW) spectrums caused by their potential. It is known that the higher-dimensional gauge theories can induce the…

High Energy Physics - Phenomenology · Physics 2025-02-14 Takuya Hirose , Hiroto Shibuya

We survey systematically the general parametrisations of particle-physics models for a first-order phase transition in the early universe, including models with polynomial potentials both with and without barriers at zero temperature, and…

High Energy Physics - Phenomenology · Physics 2020-08-06 John Ellis , Marek Lewicki , José Miguel No

While the finite-temperature effective potential in a gauge theory is a gauge-dependent quantity, in several instances a first-order phase transition can be triggered by gauge-independent terms. A particularly interesting case occurs when…

High Energy Physics - Phenomenology · Physics 2013-05-30 Carroll L. Wainwright , Stefano Profumo , Michael J. Ramsey-Musolf

Gravitational wave (GW) predictions of cosmological phase transitions are almost invariably evaluated at either the nucleation or percolation temperature. We investigate the effect of the transition temperature choice on GW predictions, for…

High Energy Physics - Phenomenology · Physics 2024-05-22 Peter Athron , Lachlan Morris , Zhongxiu Xu

First-order phase transitions exist in many models beyond the Standard Model and can generate detectable stochastic gravitational waves for a strong one. Using the cosmological observables in big bang nucleosynthesis and cosmic microwave…

High Energy Physics - Phenomenology · Physics 2022-05-25 Yang Bai , Mrunal Korwar

"Physical theories of fundamental significance tend to be gauge theories. These are theories in which the physical system being dealt with is described by more variables than there are physically independent degree of freedom. The…

Classical Physics · Physics 2007-05-23 Germain Rousseaux

Different computational techniques for cosmological phase transition parameters can impact the Gravitational Wave (GW) spectra predicted in a given particle physics model. To scrutinize the importance of this effect, we perform large-scale…

High Energy Physics - Phenomenology · Physics 2025-04-24 Marek Lewicki , Marco Merchand , Laura Sagunski , Philipp Schicho , Daniel Schmitt

Adiabatic perturbations in the cosmology of a quintessential scalar field with exponential potential gravitationally coupled to radiation/matter are investigated in a gauge invariant formalism. The main question addressed in this paper is…

Astrophysics · Physics 2009-11-06 Tassilo Ott

We report on the first 3-dimensional numerical simulations of first-order phase transitions in the early universe to include the cosmic fluid as well as the scalar field order parameter. We calculate the gravitational wave (GW) spectrum…

High Energy Physics - Phenomenology · Physics 2014-01-30 Mark Hindmarsh , Stephan J. Huber , Kari Rummukainen , David J. Weir

Models of particle physics that feature phase transitions typically provide predictions for stochastic gravitational wave signals at future detectors and such predictions are used to delineate portions of the model parameter space that can…

High Energy Physics - Phenomenology · Physics 2021-07-13 Huai-Ke Guo , Kuver Sinha , Daniel Vagie , Graham White

We study the gauge invariant cosmological perturbations up to second order. We show that there are infinite families of gauge invariant variables at both of the first and second orders. The conversion formulae among different families are…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-20 Zhe Chang , Sai Wang , Qing-Hua Zhu

Gravitational waves (GWs) induced by scalar curvature fluctuations are an important source of the cosmological GW background and a crucial counterpart of the primordial black hole scenario. However, doubts have been cast on the…

General Relativity and Quantum Cosmology · Physics 2021-04-14 Guillem Domènech , Misao Sasaki
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