Virtual SP Seminar: Tuesday 21 April at 11 am - Marcos Marino

[ICTP/CM]

Virtual Joint ICTP/SISSA Statistical Physics Seminar

When: Tuesday, 21 April 2020 at 11 a.m.
Where: Join Zoom Meeting https://zoom.us/j/799099444

Meeting ID: 799-099-444

Speaker: Marcos Mariño (Geneve University, Switzerland)

Title - Resurgence and Non-Perturbative Physics: Applications in 
Condensed Matter

Abstract: It is often said that perturbation theory is insufficient to 
understand many physical problems, and that non-perturbative effects are 
needed. It turns out that making this statement precise requires the 
mathematical framework of resurgence theory, in which perturbative 
series are extended to so-called trans-series, and non-perturbative 
effects can be detected by looking at perturbation theory at large 
orders. In this talk I will first review the basics of the theory of 
resurgence, and then present some of its recent applications to 
condensed matter systems. In particular, I will argue that the 
superconducting gap can be understood in terms of the Borel 
singularities of the perturbative series in the normal state, and is 
similar to the renormalon singularity of quantum chromodynamics.