ELFT HÍRADÓ

[Balog Janos <balog.janos AT wigner.mta.hu>]

RMI Elméleti Osztály Szemináriuma
Tisztelettel meghívjuk



                             Ines Aniceto
                        (University of Lisbon)



                "Resurgent Analysis in Quantum Theories: Perturbative 
Theory and Beyond"


                címmel tartandó szemináriumára.


Kivonat:

In order to study the weakly coupled regime of some given quantum 
theory we often make use of perturbative expansions of the physical 
quantities of interest. But such expansions are often divergent, with 
zero radius of convergence, and defined only as asymptotic series. In 
fact, this divergence is connected to the existence of nonperturbative 
contributions, i.e. instanton effects that cannot be simply captured by 
a perturbative analysis. The theory of resurgence is a mathematical tool 
which allows us to effectively study this connection and its 
consequences. Moreover, it allows us to construct a full 
non-perturbative solution from perturbative data. In this talk, I will 
review the essential role of resurgence theory in the description of the 
analytic solution behind the asymptotic series. I will then relate 
resurgence to the so-called Stokes phenomena and phase transitions using 
the quartic integral example, and will further discuss some major 
applications of this construction.



Helye: Wigner FK RMI III.ép. Tanácsterem
Ideje: 2014. március 28. péntek du. 14:00 óra



Szívesen látunk minden érdeklődőt.
                                            Balog János