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  • 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.
  • 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. (en)
Title
  • Spontaneous Symmetry Breaking and Nambu-Goldstone Bosons in Quantum Many-Body Systems
  • Spontaneous Symmetry Breaking and Nambu-Goldstone Bosons in Quantum Many-Body Systems (en)
skos:prefLabel
  • Spontaneous Symmetry Breaking and Nambu-Goldstone Bosons in Quantum Many-Body Systems
  • Spontaneous Symmetry Breaking and Nambu-Goldstone Bosons in Quantum Many-Body Systems (en)
skos:notation
  • RIV/61389005:_____/10:00439643!RIV15-AV0-61389005
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  • I
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  • 289340
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  • RIV/61389005:_____/10:00439643
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  • spontaneous symmetry breaking; Nambu-Goldstone bosons; effective field theory (en)
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  • CH - Švýcarská konfederace
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  • [3B188A11099A]
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  • Symmetry-Basel
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  • 2
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  • Brauner, Tomáš
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  • 000208831700007
issn
  • 2073-8994
number of pages
http://bibframe.org/vocab/doi
  • 10.3390/sym2020609
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