Four-dimensional gonihedric gauge spin system

Details Four-dimensional gonihedric gauge spin system Four-dimensional gonihedric gauge spin system

1998-10-21

arxiv.org/abs/cond-mat/9810271v1

Europhys.Lett. 46 (1999) 319-325

Physics

Condensed Matter

Statistical Mechanics

12 pages, Latex

Scientific paper

10.1209/epl/i1999-00263-9

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 the pressure $P$. As $k$ increases 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.

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