Numerical study of field theories coupled to 2D quantum gravity

S. M. Catterall, J. B. Kogut, R. L. Renken

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

We study the scaling properties of models which, being formulated on dynamical lattices, include a coupling to afluctuating metric. The first of these deals with a set of bosonic fields whose action may be written in terms of an extrinsic curvature. We present evidence for a 'crumpling' transition, estimate certain critical exponents and discuss possible condinuum limits. The second study concerns fermionic fields, represent here as Ising spins. A careful finite size scaling study is performed yielding exponents in agreement with analytical predictions. We further study the equation of state and the intrinsic spin-spin correlation function.

Original languageEnglish (US)
Pages (from-to)69-86
Number of pages18
JournalNuclear Physics B (Proceedings Supplements)
Volume25
Issue numberPART 1
DOIs
StatePublished - Jan 1992

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ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics

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