24. Nov 2020

On the Coleman correspondence at the free fermion point

VIENNA PROBABILITY SEMINAR

Datum: 24. November 2020 | 16:30 – 17:15
Sprecher: Christian Webb, Aalto University
Veranstaltungsort: Online via Zoom

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

Weitere Informationen:

Datum:
24. November 2020
16:30 – 17:15

Sprecher:
Christian Webb, Aalto University

Veranstaltungsort:
Online via Zoom

Ansprechpartner:

Birgit Oosthuizen-Noczil

Email:
birgit.oosthuizen-noczil@ist.ac.at

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