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TMF, 2012, Volume 170, Number 2, Pages 292–303 (Mi tmf6767)  

This article is cited in 1 scientific paper (total in 1 paper)

Imagery of symmetry in current physics

D. V. Shirkov

Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia

Abstract: We consider a remarkable symmetry duality that is broken under a phase transition permitting the appearance of superconductivity and superfluidity. This is a wine-bottle rotation symmetry in a semi-phenomenological description in the spirit of Ginzburg and Landau, while it is a phase symmetry responsible for the conservation of the number of particles (helium atoms, Cooper electron pairs) in Bogoliubov's quantum theory. This duality is interesting in the context of the contraposition of logic and intuition or Science and Art. We also briefly discuss another aspect of distorted symmetry connected with varying the geometry of space–time and with dimensional reduction in particular.

Keywords: spontaneous symmetry breaking, phase transition, symmetry duality, dimensional reduction, grand unification

DOI: https://doi.org/10.4213/tmf6767

Full text: PDF file (841 kB)
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English version:
Theoretical and Mathematical Physics, 2012, 170:2, 239–248

Bibliographic databases:

Received: 12.02.2012

Citation: D. V. Shirkov, “Imagery of symmetry in current physics”, TMF, 170:2 (2012), 292–303; Theoret. and Math. Phys., 170:2 (2012), 239–248

Citation in format AMSBIB
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  • http://mi.mathnet.ru/eng/tmf/v170/i2/p292

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. B. Bobrov, S. A. Triger, “Bose–Einstein condensate and singularities of the frequency dispersion of the permittivity in a disordered Coulomb system”, Theoret. and Math. Phys., 193:3 (2018), 404–414  mathnet  crossref  mathscinet  adsnasa  isi  elib
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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