Seminario INFN
Mercoledì 5 Luglio 2017
Ore 15:30 Aula Feymann
Relatore: Alessandro Codello - CP-3 Origins, University of Southern Denmark, Odense - Denmark
Abstract:
I'll describe the family of renormalizable scalar QFTs with self-interacting potentials of highest monomial φ^m below their upper critical dimensions dc = 2m/(m -2),
and study them using a combination of CFT constraints, Schwinger-Dyson equation and the free theory behavior at the upper critical dimension.
For even integers m ≥ 4 these theories coincide with the Landau-Ginzburg description of multi-critical phenomena and interpolate with the unitary minimal models
in d = 2, while for odd m the theories are non-unitary and start at m = 3 with the Lee-Yang universality class. For all the even potentials and for the Lee-Yang universality class,
I show how the assumption of conformal invariance is enough to compute the scaling dimensions of the local operators φ^k and of some families of structure constants at leading order.
