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Factorization Algebras in Quantum Field Theory

✍ Scribed by Kevin Costello; Owen Gwilliam

Publisher
CUP
Year
2021
Tongue
English
Leaves
417
Category
Library
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✦ Synopsis

Over two volumes, the authors develop factorization algebras, creating an essential reference for graduates and researchers.

✦ Table of Contents

Dedication
Contents
Contents of Volume 1
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 THE NOETHER THEOREM
11 Introduction to the Noether Theorems
12 The Noether Theorem in Classical Field Theory
13 The Noether 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

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