Lecture Event
SFB-Seminar Research Project C5
Maxim Zabzine (Uppsala University); Gerald Dunne ( University of Connecticut)
6 May 2014, 15:00 – 17:30
The main idea of Berline-Vergne and Atiyan-Bott localisation formulas is that the certain multidimensional
integral can be evaluated exactly by summing up a number of fixed points contributions. I will discuss how
these ideas can be generalized to infinite dimensional setup in the context of quantum field theory. As an
illustration I will discuss briefly the example of 3D Chern-Simons theory.
"Resurgent" semiclassical analysis, a systematic unification of
perturbative and non-perturbative sectors, can be applied to resolve
fundamental problems in quantum theories with degenerate minima.
Expansions about different saddle points are quantitatively related to one
another in a precise manner. Illustrations include double-well and
periodic potentials in QM, and asymptotically free QFTs such as CPN and
Yang-Mills, where this resurgent approach yields a new semiclassical
interpretation of IR renormalons.
| 6 May 2014 | |
| 15:00 – 16:00 | Talk Prof. Maxim Zabzine (Uppsala University) Localization in quantum field theory |
| 16:00 – 16:30 | Break |
| 16:30 – 17:30 | Talk Prof. Gerald Dunne ( University of Connecticut) Resurgence and Non-Perturbative Physics |
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