[MaPhySto logo]
Centre for Mathematical Physics and Stochastics
Department of Mathematical Sciences, University of Aarhus

Funded by The Danish National Research Foundation

MPS-RR 1998-26
October 1998

Four-dimensional gonihedric gauge spin system


Jan Ambjørn

G. Koutsoumbas, G. K. Savvidy


We perform Monte Carlo simulations of a four-dimensional gauge invariant spin system which describes random surfaces with gonihedric action. We develop the analogy between the flat-crumpled phase transition of the lattice surface model and the liquid-gas phase transition of non-ideal gases, and identify the self-intersection coupling constant k of the surface model with pressure P. As k increaes the system moves to a critical point in complete analogy with the situation for non-ideal gases, where the liquid and the gas phases approach each other with increasing P. We measure vacuum expectation values of various operators and the corresponding critical indices.

Availability: [ gzipped ps-file ] [ pdf-file ]

[ Help on down-loading/viewing/printing ]

This paper has now been published in Europhys. Lett. 46 (1999), no. 3, 319--325