Dyson's Model of Interacting Brownian Motions at Arbitrary Coupling Strength
نویسنده
چکیده
For Dyson's model of Brownian motions we prove that the uctua-tions are of order one and, in a scaling limit, are governed by an innnite dimensional Ornstein-Uhlenbeck process. This extends a previous result valid only at the free Fermion point = 2. Dyson's model can also be interpreted as a random surface. Our result implies that the surface statistics is governed by a massless Gaussian eld in the scaling limit.
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تاریخ انتشار 2007