Dipartimento di Fisica

Descrizione del progetto

Conformal symmetry plays a central role in modern Quantum Field Theories (QFT) and Statistical Mechanics (SM). Since the seminal
work of Belavin Polyakov and Zamolodchikov [BPZ84] thousands of papers explored the many consequences of conformal symmetry
in many different contexts and built a huge amount of knowledge on Conformal Field Theories (CFT). Leveraging these results in
these last years there was a growing interest on the study of CFT perturbations with the hope to shed some light on massive
interacting QFTs of phenomenological interest. In our proposal we plan to address in particular four instances of conformal
perturbations which, for different reasons play a central role in modern QFT. The models that we shall discuss are: Confining gauge
theories in the high temperature regime, QCD like models at finite density, Statistical Mechanics models with disomogeneities and/or
impurities (the so called "trapped models") and massive perturbations of 3d O(N) models. The main goal of our research project is to
study these models with a particular class of Conformal perturbation methods which are able to keep under control the infrared
divergencies which are one of the main problem of any Conformal perturbation approach to QFTs. This property makes this approach
particularly suitable to study perturbed two point functions, which, depending on the particular situation of interest, may give
valuable information say, on the confining potential in Lattice Gauge Theories (LGTs) or on the behaviour of disomogeneous models
as a function of the shape of the trapping potential.