Kevin Costello, Owen Gwilliam (Amherst University of Massachusetts)

Factorization Algebras in Quantum Field Theory

• Gebundenes Buch

Produktbeschreibung

Ideal for researchers and graduate students at the interface between mathematics and physics, this text develops quantum field theory from the ground up using a rich mix of modern mathematics. It provides a unified approach to deformation quantization, Hochschild homology, vertex algebras, conformal field theory, quantum groups, and gauge theory.

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Produktdetails

• New Mathematical Monographs
• Verlag: Cambridge University Press
• Seitenzahl: 418
• Erscheinungstermin: 23. September 2021
• Englisch
• Abmessung: 235mm x 157mm x 29mm
• Gewicht: 774g
• ISBN-13: 9781107163157
• ISBN-10: 1107163153
• Artikelnr.: 62213728

Autorenporträt

Kevin Costello is Krembil William Rowan Hamilton Chair in Theoretical Physics at the Perimeter Institute for Theoretical Physics, Waterloo, Canada. He is an honorary member of the Royal Irish Academy and a Fellow of the Royal Society. He has won several awards, including the Berwick Prize of the London Mathematical Society (2017) and the Eisenbud Prize of the American Mathematical Society (2020).

Inhaltsangabe

1. Introduction and overview
Part I. Classical Field Theory: 2. Introduction to classical field theory
3. Elliptic moduli problems
4. The classical Batalin-Vilkovisky formalism
5. The observables of a classical field theory
Part II. Quantum Field Theory: 6. Introduction to quantum field theory
7. Effective field theories and Batalin-Vilkovisky quantization
8. The observables of a quantum field theory
9. Further aspects of quantum observables
10. Operator product expansions, with examples
Part III. A Factorization Enhancement of Noether's Theorem: 11. Introduction to Noether's theorems
12. Noether's theorem in classical field theory
13. Noether's theorem in quantum field theory
14. Examples of the Noether theorems
Appendix A. Background
Appendix B. Functions on spaces of sections
Appendix C. A formal Darboux lemma
References
Index.