Statut  Confirmé 
Série  IPHTHEP 
Domaines  hepph 
Date  Mardi 22 Mai 2018 
Heure  16:00 
Institut  IPHT 
Salle  Salle Claude Itzykson, Bât. 774 
Nom de l'orateur  Marco Serone 
Prenom de l'orateur  
Addresse email de l'orateur  
Institution de l'orateur  SISSA, Italie 
Titre  $lambda phi^4$ Theory I: The Symmetric Phase Beyond NNNNNNNNLO 
Résumé  Perturbative series in quantum field theory associated to certain paths of steepestdescent (so called Lefschetz thimbles) can be shown to be Borel resummable. This allows us to show that a large class of scalar field theories in $d$\textless $4$ are Borel resummable. As an example we study in detail the $\lambda \phi^4$ theory in two dimensions in the $Z_2$ symmetric phase. We extend the results for the perturbative expansion of several quantities up to N$^8$LO and show how the behavior of the theory at strong coupling can be recovered successfully using known resummation techniques. The results are in very good agreement (and with comparable precision) with those obtained by other nonperturbative approaches, such as lattice simulations and Hamiltonian truncation methods. 
Numéro de preprint arXiv  
Commentaires  
Fichiers attachés 
Pour obtenir l' affiche de ce séminaire : [ Postscript  PDF ]

[ English version ] 