Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 17: Statistical Physics (General) I

DY 17.6: Talk

Tuesday, April 2, 2019, 11:30–11:45, H19

The Ising model on finite projective geometries — •Kai Klede and Klaus Mecke — Institut für Theoretische Physik 1, FAU Erlangen-Nürnberg

Various attempts to reconcile quantum field theories with general relativity have not yet led to a breakthrough in the construction of a unified theory of quantum gravitation. We investigate a fundamentally new approach to quantum spacetime, using finite projective geometries, that inherently incorporate finite features in the model of spacetime. In order to understand this geometry better, the Ising Model is studied on two dimensional finite projective spaces, over finite fields of prime order. I will discuss in particular numerical results for the critical behavior, suggesting a notion of system size, proportional to the square root of the field order.