Bootstrapping controversial phase transitions

by Tomoki Ohtsuki (Kavli Institute for the Physics and Mathematics of the Universe)

Monday 18 May 2015, 13:30 → 14:30 Asia/Tokyo

Main Research bldg. 433 (RIKEN Wako)

Date: May 18 (Mon)
Time: 13:30 -
Place: Main Research bldg. 433
Speaker: Tomoki Ohtsuki (Kavli Institute for the Physics and Mathematics of the Universe)

Title: Bootstrapping controversial phase transitions

Abstract: d=3 O(n)xO(m) symmetric Landau-Ginzburg models have rich physical realizations. They include anti-ferromagnetic spin systems placed on triangular lattices and 2-flavor QCD chiral phase transition, provided the axial anomaly is negligible. Despite their physical importance, studying the renormalization group (RG) flow of these systems are notoriously hard and there are serious controversies over the nature of their phase transitions: depending on the methods (e.g. perturbative RG series, functional RG equation, lattice Monte-Carlo, …), one obtains different answer regarding the presence of IR-stable fixed points.
 
Recently the conformal bootstrap program has been attracting growing attention as a way to study d>2 conformal field theories (CFTs) in a completely non-perturbative fashion. Indeed the "solution" obtained by the method offers the most precise estimate for the 3d Ising model critical exponents. In this talk, I will discuss what we can learn about the above-mentioned problem from bootstrap techniques, based on arXiv:1404.0489 and 1407.6195 with Yu Nakayama.

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