Spontaneous Symmetry Breaking and Nambu–Goldstone Bosons in Quantum Many-Body Systems

Spontaneous symmetry breaking is a general principle that constitutes the underlying concept of a vast number of physical phenomena ranging from ferromagnetism and superconductivity in condensed matter physics to the Hig
Spontaneous symmetry breaking is a general principle that constitutes the underlying concept of a vast number of physical phenomena ranging from ferromagnetism and superconductivity in condensed matter physics to the Higgs mechanism in the standard model of elementary particles. I focus on manifestations of spontaneously broken symmetries in systems that are not Lorentz invariant, which include both nonrelativistic systems as well as relativistic systems at nonzero density, providing a self-contained review of the properties of spontaneously broken symmetries specific to such theories. Topics covered include: (i) Introduction to the mathematics of spontaneous symmetry breaking and the Goldstone theorem. (ii) Minimization of Higgs-type potentials for higher-dimensional representations. (iii) Counting rules for Nambu–Goldstone bosons and their dispersion relations. (iv) Construction of effective Lagrangians. Specific examples in both relativistic and nonrelativistic physics are worked out in detail.
show moreshow less

Download full text files

Export metadata

  • Export Bibtex
  • Export RIS

Additional Services

    Share in Twitter Search Google Scholar
Metadaten
Author:Tomáš Brauner
URN:urn:nbn:de:hebis:30:3-253115
DOI:http://dx.doi.org/10.3390/sym2020609
ISSN:2073-8994
Parent Title (English):Symmetry
Publisher:Molecular Diversity Preservation International (MDPI)
Place of publication:Basel
Document Type:Article
Language:English
Date of Publication (online):2010/04/07
Date of first Publication:2010/04/07
Publishing Institution:Univ.-Bibliothek Frankfurt am Main
Release Date:2012/06/27
Tag:Nambu–Goldstone bosons; effective field theory; spontaneous symmetry breaking
Volume:2.2010
Issue:2
Pagenumber:67
First Page:609
Last Page:657
Institutes:Physik
Dewey Decimal Classification:530 Physik
Sammlungen:Universitätspublikationen
Licence (German):License LogoCreative Commons - Namensnennung 3.0

$Rev: 11761 $