The conformal bootstrap. (English) Zbl 1359.81165
Polchinski, Joseph (ed.) et al., TASI 2015. New frontiers in fields and strings. Proceedings of the 2015 Theoretical Advanced Study Institute in elementary particle physics, Boulder, CO, USA, June 1–26, 2015. Hackensack, NJ: World Scientific (ISBN 978-981-3149-43-4/hbk; 978-981-3149-45-8/ebook). 1-74 (2017).
Summary: These notes are from courses given at TASI and the Advanced Strings School in summer 2015. Starting from principles of quantum field theory and the assumption of a traceless stress tensor, we develop the basics of conformal field theory, including conformal Ward identities, radial quantization, reection positivity, the operator product expansion, and conformal blocks. We end with an introduction to numerical bootstrap methods, focusing on the 2d and 3d Ising models.
For the entire collection see [Zbl 1359.81008].
For the entire collection see [Zbl 1359.81008].
MSC:
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
