Geometric Analysis and Applications to Quantum Field Theory

. Ed(s): Bouwknegt, P.; Wu, S.

ISBN 10: 0817642870 / ISBN 13: 9780817642877

Published by Birkhauser Boston Inc, 2002

About this Item

Treating the interface of geometric analysis and mathematical physics, this title covers such topics as: a self-contained derivation of the partition function of Chern-Simons gauge theory in the semiclassical approximation; algebraic and geometric aspects of the Knizhnik-Zamolodchikov equations in conformal field theory; and, more. Editor(s): Bouwknegt, P.; Wu, S. Series: Progress in Mathematics. Num Pages: 207 pages, biography. BIC Classification: PBMS; PHQ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 14. Weight in Grams: 498. . 2002. Hardback. . . . . Books ship from the US and Ireland.

Seller Inventory # V9780817642877

Bibliographic Details

• Title: Geometric Analysis and Applications to Quantum Field Theory
• Publisher: Birkhauser Boston Inc
• Publication Date: 2002
• Language: English
• ISBN 10: 0817642870
• ISBN 13: 9780817642877
• Binding: Hardcover
• Condition: New

About this title

Synopsis

In the last decade there has been an extraordinary confluence of ideas in mathematics and theoretical physics brought about by pioneering discoveries in geometry and analysis. The various chapters in this volume, treating the interface of geometric analysis and mathematical physics, represent current research interests. No suitable succinct account of the material is available elsewhere. Key topics include: * A self-contained derivation of the partition function of Chern- Simons gauge theory in the semiclassical approximation (D.H. Adams) * Algebraic and geometric aspects of the Knizhnik-Zamolodchikov equations in conformal field theory (P. Bouwknegt) * Application of the representation theory of loop groups to simple models in quantum field theory and to certain integrable systems (A.L. Carey and E. Langmann) * A study of variational methods in Hermitian geometry from the viewpoint of the critical points of action functionals together with physical backgrounds (A. Harris) * A review of monopoles in nonabelian gauge theories (M.K. Murray) * Exciting developments in quantum cohomology (Y. Ruan) * The physics origin of Seiberg-Witten equations in 4-manifold theory (S. Wu) Graduate students, mathematicians and mathematical physicists in the above-mentioned areas will benefit from the user-friendly introductory style of each chapter as well as the comprehensive bibliographies provided for each topic. Prerequisite knowledge is minimal since sufficient background material motivates each chapter.