Resurgence and trans-series in quantum field theory

Note: 3:30 PM
Speaker: Gerald Dunne, University of Connecticut

When: March 25, 2015 (Wed), 03:30PM to 04:30PM (add to my calendar)
Location: PRB 595

This event is part of the HET Seminar Series.

Abstract: Resurgent asymptotic analysis using trans-series is a formalism that systematically unifies perturbative and non-perturbative physics. One of the more remarkable features of resurgence is the capacity to relate fluctuations about different non-perturbative sectors in a precise quantitative manner. It has recently been applied to a wide variety of problems in physics, including asymptotically free quantum field theories, matrix models, SUSY theories, Chern-Simons theories, topological string theory, and exact quantization conditions in quantum mechanics. In this talk I will present a general review of the basic ideas underlying resurgence and describe some applications.