XIX AVOGADRO MEETING on Strings, Supergravity and Gauge Theories

Free energy on the sphere for non-abelian gauge theories

20 dic 2023, 14:40

10m

Padova, Scuola della Carità

Gong Show talk Gong Show

Relatore

Fabiana De Cesare (Istituto Nazionale di Fisica Nucleare)

Descrizione

We compute the Sd partition function of the fixed point of non-abelian gauge theories in continuous d, using the ϵ-expansion around d = 4. We obtain the result up to NLO, i.e. including two-loop vacuum diagrams. Depending on the sign of the one-loop beta function, there is a fixed point with real gauge coupling in d > 4 or d < 4. In the first case, we extrapolate to d = 5 to test a recently proposed construction of the UV fixed point of 5d SU(2) Yang-Mills via a susy-breaking deformation of the E1 SCFT. In the second case, we extrapolate to d = 3 to test whether QCD3 with gauge group SU(nc) and nf fundamental matter fields flows to a CFT or to a symmetry-breaking case.