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Current theories of particle physics lead to the unavoidable conclusion that there must have been several phase transitions in the early universe. Further, in the context of these theories, it is possible that cosmological phase transitions…

High Energy Physics - Phenomenology · Physics 2009-10-31 Tanmay Vachaspati

Symmetry-breaking phase transitions are ubiquitous in condensed matter systems and in quantum field theories. There is also good reason to believe that they feature in the very early history of the Universe. At many such transitions…

Condensed Matter · Physics 2007-05-23 T. W. B. Kibble

Topological defects are ubiquitous in physics. Whenever a symmetry breaking phase transition occurs, topological defects may form. The best known examples are vortex lines in type II super conductors or in liquid Helium, and declination…

Astrophysics · Physics 2011-07-19 R. Durrer , M. Kunz , A. Melchiorri

Many particle physics models of matter admit solutions corresponding to stable or long-lived topological defects. In the context of standard cosmology it is then unavoidable that such defects will form during phase transitions in the very…

High Energy Physics - Phenomenology · Physics 2009-10-31 Robert H. Brandenberger

Topological defects are ubiquitous in condensed-matter physics but only hypothetical in the early universe. In spite of this, even an indirect evidence for one of these cosmic objects would revolutionize our vision of the cosmos. We give…

Astrophysics · Physics 2007-05-23 Alejandro Gangui

Topological defects are produced during phase transitions in the very early Universe. They arise in most unified theories of strong, weak and electromagnetic interactions. These lectures focus on the role of topological defects in…

Astrophysics · Physics 2010-11-01 Robert H. Brandenberger

In the first one of these two lectures, I give an introductory review of phase transitions in finite temperature field theories. I highlight the differences between theories with global and local symmetries, and the similarities between…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Rajantie

The topology of space is usually assumed simply connected, but could be multi-connected. We review in the latter case the possibility that topological defects arising at high energy phase transitions might still be present and find that…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Jean-Philippe Uzan , Patrick Peter

During the past two decades, cosmologists turned to particle physics in order to explore the physics of the very early Universe. The main link between the physics of the smallest and largest structures in the Universe is the idea of…

High Energy Physics - Phenomenology · Physics 2009-10-31 Marcelo Gleiser

In these lectures, I review cosmological phase transitions and the topological aspects of spontaneous symmetry breaking. I then discuss the formation of walls, strings and monopoles during phase transitions including lattice based studies…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tanmay Vachaspati

The study of cosmic phase transitions are of central interest in modern cosmology. In the standard model of cosmology the Universe begins in a very hot state, right after at the end of inflation via the process of reheating/preheating, and…

High Energy Physics - Phenomenology · Physics 2019-12-20 Anupam Mazumdar , Graham White

Evolution of the order parameter in condensed matter analogues of cosmological phase transitions is discussed. It is shown that the density of the frozen-out topological defects is set by the competition between the quench rate -- the rate…

Condensed Matter · Physics 2016-08-31 Wojciech H. Zurek

Topological defects are common in many everyday systems. In general, they appear if a symmetry is broken at a rapid phase transition. In this article, I explain why it is believed that they should have also been formed in the early universe…

Astrophysics · Physics 2007-05-23 A. Rajantie

In the context of current particle physics theories, it is quite likely that topological defects may be present in our universe. An observation of these fossils from the early universe would lead to invaluable insight into cosmology and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tanmay Vachaspati

We provide a pedagogical overview of defect models of structure formation. We first introduce the concept of topological defect, and describe how to classify them. We then show how defects might be produced in phase transitions in the Early…

Astrophysics · Physics 2007-05-23 Joao Magueijo , Robert Brandenberger

In order to understand the origin and evolution of comets, one must decipher the processes that formed and processed cometary ice and dust. Cometary materials have diverse physical and chemical properties and are mixed in various ways.…

Earth and Planetary Astrophysics · Physics 2023-08-23 Olivier Poch , Antoine Pommerol , Nicolas Fray , Bastian Gundlach

As a point of departure it is suggested that Quantum Cosmology is a topological concept independent from metrical constraints. Methods of continuous topological evolution and topological thermodynamics are used to construct a cosmological…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. M. Kiehn

The dramatic confrontation between new observations and theories of the early and recent universe makes cosmology one of the most rapidly advancing fields in the physical sciences. The universe is a unique laboratory in which to probe…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-03 C. J. A. P. Martins

The topic of cosmic strings provides a bridge between the physics of the very small and the very large. They are predicted by some unified theories of particle interactions. If they exist, they may help to explain some of the largest-scale…

High Energy Physics - Phenomenology · Physics 2010-11-01 M. B. Hindmarsh , T. W. B. Kibble

We consider a perfectly homogeneous and isotropic universe which undergoes a sudden phase transition. If the transition produces topological defects, which we assume, perturbations in the geometry and the cosmic fluid also suddenly appear.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Nathalie Deruelle , David Langlois , Jean-Philippe Uzan
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