Probabilistic Theories of Critical Phenomena, and the Dimer Model

by Ms Nahid Ghodratipour (Sharif University of Technology and IPM)

Wednesday 17 Jan 2018, 15:30 → 16:30 Asia/Tehran

Particles and Accelerators School Seminar Room (Larak)

The probabilistic theories of critical phenomena have been undergoing intense development during the last two decades. Drawing on ideas from statistical physics, many 2D critical lattice models are conjectured or even proved to have conformally invariant scaling limits. We begin by reviewing some fundamental random objects including curves, loop ensembles and surfaces, which arise universally and canonically in these systems, and explain how they are related to many contexts in physics. We then introduce the planar (double-)dimer model as a statistical mechanical model of random 2-dimentional interfaces, and present some results which support the conformal invariance of the scaling limit of this model.