An introduction to spontaneous symmetry breaking

Perhaps the most important aspect of symmetry in physics is the idea that a state does not need to have the same symmetries as the theory that describes it. This phenomenon is known as spontaneous symmetry breaking. In these lecture notes, starting from a careful definition of symmetry in physics...

Full description

Bibliographic Details
Main Author: Aron J. Beekman, Louk Rademaker, Jasper van Wezel
Format: Article
Language:English
Published: SciPost 2019-12-01
Series:SciPost Physics Lecture Notes
Online Access:https://scipost.org/SciPostPhysLectNotes.11
id doaj-3c511691c0db4af2b7e9dbb30bbbcfd5
record_format Article
spelling doaj-3c511691c0db4af2b7e9dbb30bbbcfd52021-04-19T11:32:52ZengSciPostSciPost Physics Lecture Notes2590-19902019-12-011110.21468/SciPostPhysLectNotes.11An introduction to spontaneous symmetry breakingAron J. Beekman, Louk Rademaker, Jasper van WezelPerhaps the most important aspect of symmetry in physics is the idea that a state does not need to have the same symmetries as the theory that describes it. This phenomenon is known as spontaneous symmetry breaking. In these lecture notes, starting from a careful definition of symmetry in physics, we introduce symmetry breaking and its consequences. Emphasis is placed on the physics of singular limits, showing the reality of symmetry breaking even in small-sized systems. Topics covered include Nambu-Goldstone modes, quantum corrections, phase transitions, topological defects and gauge fields. We provide many examples from both high energy and condensed matter physics. These notes are suitable for graduate students.https://scipost.org/SciPostPhysLectNotes.11
collection DOAJ
language English
format Article
sources DOAJ
author Aron J. Beekman, Louk Rademaker, Jasper van Wezel
spellingShingle Aron J. Beekman, Louk Rademaker, Jasper van Wezel
An introduction to spontaneous symmetry breaking
SciPost Physics Lecture Notes
author_facet Aron J. Beekman, Louk Rademaker, Jasper van Wezel
author_sort Aron J. Beekman, Louk Rademaker, Jasper van Wezel
title An introduction to spontaneous symmetry breaking
title_short An introduction to spontaneous symmetry breaking
title_full An introduction to spontaneous symmetry breaking
title_fullStr An introduction to spontaneous symmetry breaking
title_full_unstemmed An introduction to spontaneous symmetry breaking
title_sort introduction to spontaneous symmetry breaking
publisher SciPost
series SciPost Physics Lecture Notes
issn 2590-1990
publishDate 2019-12-01
description Perhaps the most important aspect of symmetry in physics is the idea that a state does not need to have the same symmetries as the theory that describes it. This phenomenon is known as spontaneous symmetry breaking. In these lecture notes, starting from a careful definition of symmetry in physics, we introduce symmetry breaking and its consequences. Emphasis is placed on the physics of singular limits, showing the reality of symmetry breaking even in small-sized systems. Topics covered include Nambu-Goldstone modes, quantum corrections, phase transitions, topological defects and gauge fields. We provide many examples from both high energy and condensed matter physics. These notes are suitable for graduate students.
url https://scipost.org/SciPostPhysLectNotes.11
work_keys_str_mv AT aronjbeekmanloukrademakerjaspervanwezel anintroductiontospontaneoussymmetrybreaking
AT aronjbeekmanloukrademakerjaspervanwezel introductiontospontaneoussymmetrybreaking
_version_ 1721521284087545856