Status  Confirmed 
Seminar Series  IPHTHEP 
Subjects  hepph 
Date  Tuesday 22 May 2018 
Time  16:00 
Institute  IPHT 
Seminar Room  Salle Claude Itzykson, Bât. 774 
Speaker's Last Name  Marco Serone 
Speaker's First Name  
Speaker's Email Address  
Speaker's Institution  SISSA, Italie 
Title  $lambda phi^4$ Theory I: The Symmetric Phase Beyond NNNNNNNNLO 
Abstract  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. 
arXiv Preprint Number  
Comments  
Attachments 
To Generate a poster for this seminar : [ Postscript  PDF ]

[ English version ] 