Oberwolfach Reports


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Volume 14, Issue 3, 2017, pp. 2539–2599
DOI: 10.4171/OWR/2017/41

Published online: 2018-07-04

Mathematical Questions and Challenges in Quantum Electrodynamics and its Applications

Volker Bach[1], Miguel Ballesteros[2], Dirk-André Deckert[3] and Israel Michael Sigal[4]

(1) Technische Universität Braunschweig, Germany
(2) Universidad Nacional Autónoma de México, México D.F., Mexico
(3) Ludwig-Maximilians-Universität München, Germany
(4) University of Toronto, Canada

Quantum field theory (QFT) may be considered one of the most fundamental frameworks of theoretical physics. Quantum Electrodynamics (QED) is the part of QFT that describes the interaction between matter and light. Although it is one of the experimentally best tested theories, it yet faces many open mathematical questions and challenges. The mathematical rigorous framework of QED and the implications deriving from it is the topic of Workshop 1737 held at MFO from September 11 through 15, 2017, bringing together mathematicians and theoretical physicists to discuss topics such as high- and low-energy QED, external field QED, quantum optics, many-boson and many-fermion systems, transport properties in condensed matter.

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Bach Volker, Ballesteros Miguel, Deckert Dirk-André, Sigal Israel Michael: Mathematical Questions and Challenges in Quantum Electrodynamics and its Applications. Oberwolfach Rep. 14 (2017), 2539-2599. doi: 10.4171/OWR/2017/41