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Homotopical quantum field theory / Donald Yau.

Math/Physics/Astronomy Library QA612.7 .Y38 2020
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Format:
Book
Author/Creator:
Yau, Donald Y. (Donald Ying), 1977- author.
Contributor:
Rosengarten Family Fund.
Language:
English
Subjects (All):
Homotopy theory.
Quantum field theory--Mathematics.
Quantum field theory.
Physical Description:
xi, 298 pages : illustrations ; 25 cm
Place of Publication:
Hackensack, New Jersey : World Scientific, [2020]
Summary:
"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"-- Provided by publisher.
Contents:
Category theory
Trees
Colored operads
Constructions on operads
Boardman-Vogt construction of operads
Algebras over the Boardman-Vogt construction
Algebraic quantum field theories
Homotopy algebraic quantum field theories
Prefactorization algebras
Homotopy prefactorization algebras
Comparing prefactorization algebras and AQFT.
Notes:
Includes bibliographical references and index.
Local Notes:
Acquired for the Penn Libraries with assistance from the Rosengarten Family Fund.
ISBN:
9789811212857
9811212856
OCLC:
1138122690
Publisher Number:
99996451050

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