Quantum Fields – from Fundamental Concepts to Phenomenological Questions

Session

Structural Aspects of Quantum Field Theory

Sep 26, 2018, 3:00 PM

02.430 (Mainz Institute for Theoretical Physics, Johannes Gutenberg University)

41. Universality in the epsilon-expansion

Dr Alessandro Codello

9/26/18, 3:00 PM

After reviewing the Functional reformulation of the standard Perturbative RG (FPRG), I'll describe the classification of universality classes in arbitrary dimension within the epsilon-expansion and the relative determination of CFT data. In the single component case, universality classes are represented by renormalizable scalar QFTs with self-interacting potentials of highest monomial φ^m...

42. Multi-critical multi-field models: a CFT approach in leading order.

Dr Gian Paolo Vacca (INFN)

9/26/18, 3:45 PM

I present general results for the multi-critical multi-field models in d>2 recently obtained using CFT+Schwinger-Dyson methods without assuming any symmetry. Results in the leading non trivial order are derived consistently for several conformal data in full agreement with functional perturbative RG methods. I also discuss the special cases of Potts models with S_q symmetry having critical...