Seminarium KMMF "Teoria Dwoistości"
sala 1.02, ul. Pasteura 5
2024-01-25 (10:15) 
Nicola Pinamonti (Genova)
Local solutions of RG flow equations and the Nash-Moser theorem
During this talk we shall discuss the derivation of a functionalRenormalisation Group equation for the effective action of aninteracting quantum field theory in the Lorentzian setting when a localregulator consisting in the addition of a mass is employed. The flowequation for mass rescalings is then studied using the renown Nash-Mosertheorem and hence, a proof of existence of solutions is obtained in that context.