Four-dimensional gonihedric gauge spin system

Author： Ambjørn J. Koutsoumbas G. Savvidy G. K.

E-ISSN： 1286-4854|46|3|319-325

ISSN： 0295-5075

Source： EPL (EUROPHYSICS LETTERS), Vol.46, Iss.3, 2010-03, pp. : 319-325

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Abstract

We perform Monte Carlo simulations of a four-dimensional gauge-invariant spinsystem which describes random surfaces with gonihedric action. We develop the analogy between the flat-crumpled phase transition of the lattice surface model andthe 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.