On the Coleman correspondence at the free fermion point – Christian Webb
Christian Webb
Åbo Akademi University, Turku, Finland
https://scholar.google.com/citations?user=nRFtMKEAAAAJ&hl=en
Date(s) : 05/02/2021 iCal
11h00 - 12h00
This talk will be about a model that illustrates that statistical mechanics and field theory can be quite special in two dimensions — even without conformal invariance. More precisely, I will discuss a special case of a prediction of S. Coleman which identifies correlation functions of the massless sine-Gordon model (with suitably chosen parameters) and massive free fermions. This is an instance of bosonization: a (interacting) bosonic field theory is expressed in terms of a (non-interacting) fermionic model. It also demonstrates that despite being a non-trivial (and non-conformal) field theory, the sine-Gordon model at the free fermion point remains integrable (correlation functions are explicit). As a consequence we also obtain exponential decay of correlations for the massless sine-Gordon model at the free fermion point. This is joint work with Roland Bauerschmidt (Cambdridge): https://arxiv.org/pdf/2010.07096.pdf
Emplacement
I2M Chateau-Gombert - CMI, Salle de Séminaire R164 (1er étage)
Catégories
