The phase diagram of an Ising model on a polymerized random surface

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex file, 10 pages, macros included. Two EPS figures

Scientific paper

10.1016/0370-2693(94)01619-N

We construct a random surface model with a string susceptibility exponent one quarter by taking an Ising model on a random surface and introducing an additional degree of freedom which amounts to allowing certain outgrowths on the surfaces. Fine tuning the Ising temperature and the weight factor for outgrowths we find a triple point where the susceptibility exponent is one quarter. At this point magnetized and nonmagnetized gravity phases meet a branched polymer phase.

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