Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines hep-ph
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 steepest-descent (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 non-perturbative approaches, such as lattice simulations and Hamiltonian truncation methods.
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