Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-LPTHE
Subjects hep-th
Date Thursday 23 January 2025
Time 11:00
Institute LPTHE
Seminar Room LPTHE library
Speaker's Last Name Mazac
Speaker's First Name Dalimil
Speaker's Email Address dalimil [dot] mazac [at] ipht [dot] fr
Speaker's Institution IPhT
Title The 1d Ising model with 1/r^1.99 interaction
Abstract I will discuss the classical 1d Ising model with long-range interactions decaying as 1/r^{q}. When 1 < q < 2, this model exhibits a second-order phase transition, described by a family of 1d CFTs. When 3/2 < q < 2, these CFTs are interacting and are perhaps the simplest CFTs not yet solved analytically. It has been a longstanding open problem to solve the critical dynamics near q=2. In my talk, I will resolve it by introducing a new continuum decription of the model, in terms of fractional Brownian motion coupled to a two-level system. At q=2, the new description is equivalent to a boundary condition for the 2d free scalar, and is weakly coupled near q=2. It enables us to compute a wealth of CFT data, both using the field theory, and the analytic conformal bootstrap.
arXiv Preprint Number 2412.12243
Comments Based on work with Dario Benedetti, Edoardo Lauria and Philine van Vliet https://arxiv.org/abs/2412.12243.
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