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.
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Nuclear and High Energy Physics