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  • Homotopical Quantum Field Theory by Yau Donald book cover
  • Homotopical Quantum Field Theory by Yau Donald book cover
  • Homotopical Quantum Field Theory by Yau Donald book cover
  • Homotopical Quantum Field Theory by Yau Donald book cover
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Homotopical Quantum Field Theory

by Yau Donald

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Two homotopy-based approaches to quantum field theory

$127.13 USD
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Hardcover New English

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AlbakiReads Editorial

Two homotopy-based approaches to quantum field theory

Homotopical Quantum Field Theory develops definitions of homotopy algebraic quantum field theory and homotopy prefactorization algebra through a coend definition of the Boardman–Vogt construction for colored operads. Chapters on category theory, trees, and operads provide the groundwork for its treatment of homotopy coherent structures. The book also compares the two approaches at the operad level, making their relationship part of the mathematical discussion. Its stated self-contained scope places foundational material alongside the more specialized constructions.

Good fit for readers who enjoy

  • Graduate students studying mathematical approaches to quantum field theory
  • Readers working with operads and homotopy algebra
  • Researchers interested in prefactorization algebras

Themes

Homotopy algebraic quantum field theoryHomotopy prefactorization algebrasColored operads and the Boardman–Vogt constructionHomotopy coherent structures

Based on publisher information and book metadata.

Book overview

This book provides a general and powerful definition of homotopy algebraic quantum field theory and homotopy prefactorization algebra using a new coend definition of the Boardman-Vogt construction for a colored operad. All of their homotopy coherent structures are explained in details, along with a comparison between the two approaches at the operad level. With chapters on basic category theory, trees, and operads, this book is self-contained and is accessible to graduate students.

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