# Seminar on Quantum Field Theory, Gravitation, and Elementary Particles

Prof. S. Hollands
Prof. R. Verch

Organization:
Dr. J. Zahn

Monday, 15:15 – 16:45 (1 hour talk, followed by questions), seminar room 114 ITP
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# Schedule for the summer term 2019:

Date Speaker Title (hover/click for abstract)
01.04. Henning Bostelmann (York)
08.04. Moritz Thurmair (ITP)
15.04. Reinhard Meinel (Jena)
22.04. public holiday
29.04. Alexander Stottmeister (Münster)
06.05. Vincenzo Morinelli (Roma Tor Vergata)
13.05. Alessandro Giuliani (Roma Tre)
20.05. no seminar
27.05. no seminar
03.06. Christian Jäkel (Sao Paolo)
10.06. public holiday
17.06. no seminar
24.06. Valter Moretti (Trento)
25.06. 09:15 Christiaan van de Ven (Trento)
01.07.
08.07.

## Schedules of past terms:

Abstract: In the last few years, the methods of constructive Fermionic Renormalization Group have successfully been applied to the study of the scaling limit of several two-dimensional statistical mechanics models at the critical point, including: weakly non-planar 2D Ising models, Ashkin-Teller, 8-Vertex, and close-packed interacting dimer models. In this talk, I will focus on the illustrative example of the interacting dimer model and review some of the universality results derived in this context. In particular, I will discuss a proof of the massless Gaussian free field (GFF) behavior of the height fluctuations, in the generic case of non-zero average tilt for the height profile. It turns out that GFF behavior is connected with a remarkable identity (Kadanoff' or Haldane' relation) between an amplitude and an anomalous critical exponent, characterizing the large distance behavior of the dimer-dimer correlations. Based on joint works with V. Mastropietro and F. Toninelli.