Topological phase transitions in two-dimensional systems with internal symmetries

Details Topological phase transitions in two-dimensional systems with internal symmetries Topological phase transitions in two-dimensional systems with internal symmetries

1999-07-27

arxiv.org/abs/hep-th/9907195v1

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 2 figures, 1 table; a talk given at seminar "Topological Defects in Non-Equilibrium Systems and Condensed Matter", M

Scientific paper

10.1134/1.559059

Possible generalizations of the topological (or Berezinskii-Kosterlitz-Thouless) phase transition on multicomponent 2D systems with nontrivial vector homotopic group pi_1 are considered. Relations between Ginzburg-Landau like theories, non-linear sigma-models on maximal Cartan subgroups of simple compact Lie groups and generalized sine-Gordon type theories are discussed. D-dimensional non-linear sigma-model admitting topological excitations with logarithmic energies are constructed.

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