Homotopical Quantum Field Theory (eBook)
by Donald Yau (Author)

 69,689 Words
 312 Pages
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 BoardmanVogt 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 selfcontained and is accessible to graduate students.
Contents: Introduction
 Category Theory
 Trees
 Colored Operads
 Constructions on Operads
 BoardmanVogt Construction of Operads
 Algebras over the BoardmanVogt Construction
 Algebraic Quantum Field Theories
 Homotopy Algebraic Quantum Field Theories
 Prefactorization Algebras
 Homotopy Prefactorization Algebras
 Comparing Prefactorization Algebras and AQFT
Readership: Graduate students, mathematicians, mathematical physicists.Algebraic Quantum Field Theory;Prefactorization Algebra;Causality Axiom;TimeSlice Axiom;Operad;Tree;BoardmanVogt Construction;Adjunction;Homotopy Coherent Diagram;AInfinity Algebra;EInfinity Algebra;EInfinity Module00
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 Released: November 11, 2019
 Categories: Science & Nature
 Language: English
 Publisher: World Scientific Publishing Company
 ISBN10: 9811212872
 ISBN13: 9789811212871
Retail Price:
$94.00
BookShout Price:
$94.00
Format: