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The finite-temperature effective potential customarily employed to describe the physics of cosmological phase transitions often relies on specific gauge choices, and is manifestly not gauge-invariant at finite order in its perturbative…

High Energy Physics - Phenomenology · Physics 2011-08-09 Carroll Wainwright , Stefano Profumo , Michael J. Ramsey-Musolf

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

In this paper we consider a minimal classically conformal U(1) model of fermionic dark matter. We calculate the one loop effective potential which generates the mass scale quantum mechanically via dimensional transmutaion in the spirit of…

High Energy Physics - Phenomenology · Physics 2024-12-10 Valentin V. Khoze , Daniel L. Milne

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

In a vacuum first-order phase transition, gravitational waves are generated from collision of bubbles of the true vacuum. The spectrum from such collisions takes the form of a broken power law. We consider a toy model for such a phase…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-03 Daniel Cutting , Elba Granados Escartin , Mark Hindmarsh , David J. Weir

We investigate first order phase transitions arising from hidden sectors which are in thermal equilibrium with the Standard Model bath in the Early Universe. Focusing on two simplified scenarios, an higgsed U(1) and a two scalar singlet…

High Energy Physics - Phenomenology · Physics 2020-10-12 Aleksandr Azatov , Daniele Barducci , Francesco Sgarlata

In a wide class of new physics models, there exist scalar fields that obtain vacuum expectation values of high energy scales. We study the possibility that the standard model Higgs field has experienced first order phase transition at the…

High Energy Physics - Phenomenology · Physics 2016-05-23 Ryusuke Jinno , Kazunori Nakayama , Masahiro Takimoto

In this review we look into the gauge-dependence of scalar-induced gravitational waves (SIGWs) that are second-order tensors produced by first-order scalar-modes. The method includes deriving the background, first- and second-order Einstein…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Anjali Abirami Kugarajh

We investigate in details the gravitational wave (GW) from the first-order phase transition (PT) in the extended standard model of particle physics with a dimension-six operator, which is capable of exhibiting the recently discovered slow…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-08 Rong-Gen Cai , Misao Sasaki , Shao-Jiang Wang

A tensor-type cosmological perturbation, defined as a transverse and traceless spatial fluctuation, is often interpreted as the gravitational waves. While decoupled from the scalar-type perturbations in linear order, the tensor…

Cosmology and Nongalactic Astrophysics · Physics 2017-06-28 Jai-chan Hwang , Donghui Jeong , Hyerim Noh

We study the cosmological history of the classical conformal $B-L$ gauge extension of the standard model, in which the physical scales are generated via the Coleman-Weinberg-type symmetry breaking. Especially, we consider the thermal phase…

High Energy Physics - Phenomenology · Physics 2017-02-01 Ryusuke Jinno , Masahiro Takimoto

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 discuss gravitational waves in an electroweakly interacting vector dark matter model. In the model, the electroweak gauge symmetry is extended to SU(2)$_0 \times$ SU(2)$_1 \times$SU(2)$_2 \times$ U(1)$_Y$ and spontaneously broken into…

High Energy Physics - Phenomenology · Physics 2024-06-14 Tomohiro Abe , Katsuya Hashino

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

At second-order, scalar perturbations can source traceless and transverse perturbations to the metric, called induced gravitational waves (IGW). The apparent gauge-dependence of the IGW obscures the interpretation of the stochastic…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-09 James Gurian , Donghui Jeong , Jai-chan Hwang , Hyerim Noh

We revisit and clarify the gauge dependence of gravitational waves generated at second order from scalar perturbations. In a universe dominated by a perfect fluid with a constant equation-of-state parameter $w$, we compute the energy…

General Relativity and Quantum Cosmology · Physics 2020-04-29 Keitaro Tomikawa , Tsutomu Kobayashi

This project is aimed at studying the first-order phase transitions, that is presumed to have ensued in the early universe, and its consequences on the primordial gravitational waves. The effects of bubble nucleation, growth, and…

General Relativity and Quantum Cosmology · Physics 2026-03-12 Yashmitha Kumaran

In this letter we explore the dependence on the gauge fixing condition of several quantities in the U(1) Higgs model at finite temperature and chemical potential. We compute the effective potential at the one loop level, using a gauge…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Loewe , S. Mendizabal , R. A. Santos

We investigate the gravitational wave background from a first order phase transition in a matter-dominated universe, and show that it has a unique feature from which important information about the properties of the phase transition and…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-29 Gabriela Barenboim , Wan-Il Park

We investigate the gauge invariance of the second order gravitational waves induced by the first order scalar perturbations by following the Lie derivative method. It is shown explicitly that the second order gravitational waves are gauge…

General Relativity and Quantum Cosmology · Physics 2020-09-30 Zhe Chang , Sai Wang , Qing-Hua Zhu
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