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"Mathematical Aspects of Quantum Field Theories", les Houches winter schoor, 2015

Reviewed September 13, 2023

Citation: Calaque, Damien, and Thomas Strobl, eds. Mathematical Aspects of Quantum Field Theories. Springer, 2015.

Web: https://link.springer.com/book/10.1007/978-3-319-09949-1

Tags: Expository

To quote the authors, "this volume contains the contributions to the 2012 les Houches winter school in mathematical physics". To quote Jurg Frohlich's foreward, "I feel the title of the School should really read 'highly mathematical aspects of field theories'."

This book has a plethora of good readings and resources about quantum field theory. The organization that runs this winter school is the SwissMAP Research Station; their website is found here. Their work seems to be very much of interest.

The forward by Jurg Frohlich and preface following it are both great accounts of the state of quantum field theory. They are very readable, and helped give me an appreciation of the area. The article

> Thuillier, Frank. "Deligne-Beilinson cohomology in U (1) Chern-Simons theories." Mathematical Aspects of Quantum Field Theories (2015): 233-271.

seems especially relevant to me.