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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Factorization Algebras in Quantum Field Theory

Factorization Algebras in Quantum Field Theory

Costello, Kevin
Gwilliam, Owen

Hardcover

Series: New Mathematical Monographs, Book 41

General Mathematics

ISBN10: 1107163153
ISBN13: 9781107163157
Publisher: Cambridge University Press
Published: Sep 23 2021
Pages: 418
Weight: 1.72
Height: 1.06 Width: 6.00 Depth: 9.00
Language: English
Factorization algebras are local-to-global objects that play a role in classical and quantum field theory that is similar to the role of sheaves in geometry: they conveniently organize complicated information. Their local structure encompasses examples like associative and vertex algebras; in these examples, their global structure encompasses Hochschild homology and conformal blocks. In this second volume, the authors show how factorization algebras arise from interacting field theories, both classical and quantum, and how they encode essential information such as operator product expansions, Noether currents, and anomalies. Along with a systematic reworking of the Batalin-Vilkovisky formalism via derived geometry and factorization algebras, this book offers concrete examples from physics, ranging from angular momentum and Virasoro symmetries to a five-dimensional gauge theory.

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