Factorization Algebras in Quantum Field Theory: Volume 1
Author:   Kevin Costello ,  Owen Gwilliam
Publisher:   Cambridge University Press
Volume:   31
ISBN:  

9781107163102


Pages:   398
Publication Date:   15 December 2016
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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Factorization Algebras in Quantum Field Theory: Volume 1


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Author:   Kevin Costello ,  Owen Gwilliam
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Volume:   31
Dimensions:   Width: 15.20cm , Height: 2.50cm , Length: 22.90cm
Weight:   0.750kg
ISBN:  

9781107163102


ISBN 10:   1107163102
Pages:   398
Publication Date:   15 December 2016
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1. Introduction; Part I. Prefactorization Algebras: 2. From Gaussian measures to factorization algebras; 3. Prefactorization algebras and basic examples; Part II. First Examples of Field Theories: 4. Free field theories; 5. Holomorphic field theories and vertex algebras; Part III. Factorization Algebras: 6. Factorization algebras - definitions and constructions; 7. Formal aspects of factorization algebras; 8. Factorization algebras - examples; Appendix A. Background; Appendix B. Functional analysis; Appendix C. Homological algebra in differentiable vector spaces; Appendix D. The Atiyah–Bott Lemma; References; Index.

Reviews

'Because the subject of this book touches many advanced leading theories of quantum physics which utilize heavily mathematical machineries from a diverse range of mathematical topics, the background material needed for this book is immense. So it is very helpful and much appreciated that a 103-page four-section appendix is included in this 387-page book, to provide a very well-organized and fairly detailed review of relevant mathematical background topics, including simplicial techniques, colored operads/multicategories and their algebras, differential graded (dg) Lie algebras and their cohomology, sheaves/cosheaves, formal Hodge theory, and 'convenient, differentiable, or bornological' topological vector spaces facilitating the homological algebra for infinite-dimensional vector spaces.' Albert Sheu, Zentralblatt MATH


Author Information

Kevin Costello is the Krembil Foundation William Rowan Hamilton Chair in Theoretical Physics at the Perimeter Institute in Waterloo, Ontario. Owen Gwilliam is a postdoctoral fellow at the Max Planck Institute for Mathematics in Bonn.

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