Volume 46, Number 3, May I 1999
|319 - 325
|The physics of elementary particles and fields
|01 September 2002
Four-dimensional gonihedric gauge spin system
The Niels Bohr Institute, University of Copenhagen
Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark
2 Physics Department, National Technical University Zografou Campus, 15780 Athens, Greece
3 National Research Center Demokritos - Ag. Paraskevi, GR-15310 Athens, Greece
Accepted: 19 February 1999
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.
PACS: 11.15.Ha – Lattice gauge theory / 12.40.Ee – Statistical models / 11.25.Pm – Noncritical string theory
© EDP Sciences, 1999
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