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These lectures, presented at the 2022 TASI summer school, give an introductory overview of first-order phase transitions in the early Universe, baryogenesis, and the resulting gravitational wave phenomenology. We introduce thermal field…

High Energy Physics - Phenomenology · Physics 2023-09-18 Djuna Croon

The next generation of gravitational wave detectors holds out the prospect of detecting a stochastic gravitational background generated in the very early universe. In this article, we review the various cosmological processes which can lead…

Astrophysics · Physics 2010-04-06 R. A. Battye , E. P. S. Shellard

We propose a new scenario for the early universe where there is a smooth transition between an early de Sitter-like phase and a radiation dominated era. In this model, the matter content is modelled by a new type of generalised Chaplygin…

Cosmology and Nongalactic Astrophysics · Physics 2010-03-16 Mariam Bouhmadi-Lopez , Pedro Frazao , Alfredo B. Henriques

We extend analytic formulas for the gravitational-wave (GW) spectrum from first-order phase transitions to include cosmic expansion under the thin-wall and envelope approximations. We demonstrate that even for strongly supercooled…

General Relativity and Quantum Cosmology · Physics 2026-01-23 Masaki Yamada

A stochastic background of gravitational waves can be generated during a cosmological first order phase transition, at least by two distinct mechanisms: collisions of true vacuum bubbles and turbulence in the cosmic fluid. I compare these…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Alberto Nicolis

First order phase transitions (FOPTs) constitute an active area of contemporary research as a promising cosmological source of observable gravitational waves. The spacetime dynamics of the background scalar field undergoing the phase…

High Energy Physics - Phenomenology · Physics 2025-01-14 Bibhushan Shakya

Recent evidence for the stochastic gravitational wave backgorund reported by the pulsar timing arrays (PTA) can be interpreted as a signal from the cosmological phase transition. We use up-to-date models of the gravitational wave power…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-14 T. Boyer , A. Neronov

The LIGO observatories can potentially detect stochastic gravitational waves arising from phase transitions which happened in the early universe at temperatures around $T\sim 10^{8}$ GeV. This provides an extraordinary opportunity for…

High Energy Physics - Phenomenology · Physics 2020-05-20 Benedict von Harling , Alex Pomarol , Oriol Pujolas , Fabrizio Rompineve

Gravitational waves signatures from dynamical scalar field configurations provide a compelling observational window on the early universe. Here we identify intriguing connections between dark matter and scalars fields that emit…

High Energy Physics - Phenomenology · Physics 2021-07-13 Amit Bhoonah , Joseph Bramante , Simran Nerval , Ningqiang Song

In this work we highlight an important perspective for the complete understanding of the stochastic gravitational background structure. The stochastic gravitational wave background is perhaps the most important current and future tool…

General Relativity and Quantum Cosmology · Physics 2024-07-02 S. D. Odintsov , V. K. Oikonomou

Flavourful extensions of the Standard Model aimed at explaining its fermionic mass structure typically rely on symmetries, broken at high-energy scales far beyond the reach of foreseeable direct collider searches. We illustrate, using a…

High Energy Physics - Phenomenology · Physics 2025-12-03 Anna Chrysostomou , Alan S. Cornell , Luc Darmé , Aldo Deandrea , Thibault Demartini

We estimate the gravitational wave spectra generated in strongly supercooled phase transitions by bubble collisions and fluid motion. We derive analytically in the thin-wall approximation the efficiency factor that determines the share of…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-03 Marek Lewicki , Ville Vaskonen

Cosmological first-order phase transitions are a well-motivated source of stochastic gravitational waves (GWs), but most predictions are made based on the highly idealized model of perfectly spherical vacuum bubbles, neglecting thermal…

High Energy Physics - Phenomenology · Physics 2026-01-23 Ligong Bian , Guangshang Chen , Song Li , Hongxin Wang , Yang Xiao , Jin Min Yang , Yang Zhang

In many particle physics models, domain wall can form during the phase transition process after discrete symmetry breaking. We study the scenario within a complex singlet extended Standard Model framework, where a strongly first order phase…

High Energy Physics - Phenomenology · Physics 2020-05-20 Ruiyu Zhou , Jing Yang , Ligong Bian

Using a holographic derivation of a quantum effective action for a scalar operator at strong coupling, we compute quasi-equilibrium parameters relevant for the gravitational wave signal from a first order phase transition in a simple dual…

High Energy Physics - Theory · Physics 2022-03-31 Fëanor Reuben Ares , Oscar Henriksson , Mark Hindmarsh , Carlos Hoyos , Niko Jokela

We provide a review on the state-of-the-art of gravitational waves induced by primordial fluctuations, so-called induced gravitational waves. We present the intuitive physics behind induced gravitational waves and we revisit and unify the…

General Relativity and Quantum Cosmology · Physics 2021-11-08 Guillem Domènech

While first order phase transitions (FOPTs) have been extensively studied as promising cosmological sources of gravitational waves, the phenomenon of particle production from the dynamics of the background field during FOPTs has received…

High Energy Physics - Phenomenology · Physics 2025-01-14 Henda Mansour , Bibhushan Shakya

An explicit realistic model featuring a supercooled phase transition, which allows us to explain the background of gravitational waves recently detected by pulsar timing arrays, is constructed. In this model the phase transition corresponds…

High Energy Physics - Phenomenology · Physics 2024-04-17 Alberto Salvio

We conducted three-dimensional lattice simulations to study the density perturbation and gravitational waves (GWs) during first-order phase transition (FOPT). We find that for phase transition strength $\alpha > 1$, the forward motion of…

High Energy Physics - Phenomenology · Physics 2026-04-13 Jintao Zou , Zhiqing Zhu , Zizhuo Zhao , Ligong Bian

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