Factorization Algebras in Quantum Field Theory: Volume 2

ISBN-13: 9781107163157 / Angielski / Twarda / 2021 / 380 str.

Kevin Costello; Owen Gwilliam

Opis

This second volume shows how factorization algebras arise from interacting field theories, both classical and quantum.

Recenzje

'… perfectly suitable for self-study by an interested scholar with little to almost no previous exposure to factorization algebras, or for use as a reference text for a lecture series on the subject.' Domenico Fiorenza, MathSciNet

Spis treści

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.