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

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

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

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
Volume313
Issue number5-6
DOIs
StatePublished - Jul 14 2003
Externally publishedYes

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fractals
interactions
towers
high temperature superconductors
graphite
composite materials

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Fractal structure of the effective action in (quasi)planar models with long-range interactions. / Gorbar, E. V.; Gusynin, V. P.; Miransky, V. A.; Shovkovy, Igor.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 313, No. 5-6, 14.07.2003, p. 472-477.

Research output: Contribution to journalArticle

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