Fractal structure of the effective action in (quasi)planar models with long-range interactions

E. V. Gorbar, V. P. Gusynin, V. A. Miransky, I. A. Shovkovy

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


We derive the effective potential for composite fields in a class of (quasi)planar models with long-range interactions. This class of models can be relevant for high temperature superconductors and graphite. The fractal structure of the effective potential is revealed and its physical interpretation is presented. It is argued that the multi-branched fractal structure of the potential reflects the presence of an infinite tower of excitonic bound states that occur as a result of the long-range interactions.

Original languageEnglish (US)
Pages (from-to)472-477
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number5-6
StatePublished - Jul 14 2003
Externally publishedYes


  • Composite operators
  • Dynamical symmetry breaking
  • Effective action
  • High-T superconductors
  • Long-range interaction

ASJC Scopus subject areas

  • General Physics and Astronomy


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