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Spins, Dimers and emerging Gaussian Free Fields

  • Date November 26, 2017
  • Hour 3 pm
  • Room GSSI Main Lecture Hall
  • Speaker Vieri Mastropietro (University of Milan)

ABSTRACT

Universality is a basic property of statistical physics.It has been mathematically established in exactly solvable 2D Ising or dimer models, where it appears related to an emerging Gaussian description (see e.g.Kenyon, Okounkov, Sheffield '06 for dimers), but very few results are known when integrability is broken. The introduction of Renormalization Group methods allows to rigorously establish universality and the emerging Gaussian free field description also in absence of integrability, like in interacting Ising models, Vertex and interacting dimers. Applications to condensed matter problems, like fermionic edge states in topological insulators, will be also described.