Geometric Analysis and Applications to Quantum Field Theory

Siye Wu

ISBN 10: 1461265975 / ISBN 13: 9781461265979

Editore: Birkhäuser Boston, Birkhäuser Boston, 2012

Riguardo questo articolo

Druck auf Anfrage Neuware - Printed after ordering - In the last decade there has been an extraordinary confluence ofideas in mathematics and theoretical physics brought about bypioneering discoveries in geometry and analysis. The various chaptersin this volume, treating the interface of geometric analysis andmathematical physics, represent current research interests. Nosuitable 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-Zamolodchikovequations in conformal field theory (P. Bouwknegt)\* Application of the representation theory of loop groups to simplemodels in quantum field theory and to certain integrable systems (A.L.Carey and E. Langmann)\* A study of variational methods in Hermitian geometry from theviewpoint of the critical points of action functionals together withphysical 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 inthe above-mentioned areas will benefit from the user-friendlyintroductory style of each chapter as well as the comprehensivebibliographies provided for each topic. Prerequisite knowledge isminimal since sufficient background material motivates each chapter.

Codice articolo 9781461265979

Dati bibliografici

• Titolo: Geometric Analysis and Applications to Quantum Field Theory
• Editore: Birkhäuser Boston, Birkhäuser Boston
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 1461265975
• ISBN 13: 9781461265979
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 13 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 13 millimetri di profondità
• Peso: 341 grammi

Descrizione articolo

Riassunto

In recent years, there has been tremendous progress at the interface of geometry and mathematical physics. The chapters in this volume represent current research interests and provide surveys of recent progress without assuming too much prerequisite knowledge. Sufficient background motivates each chapter and comprehensive bibliographies are included making the material accessible to graduate students and researchers. No suitable succint account of the material is available elsewhere.

Contenuti

Preface * D. H. Adams: Semiclassical Approximation in Chern--Simons Gauge Theory * P. Bouwknegt: The Knizhnik--Zamolodchikov Equations * A. L. Carey and E. Langmann: Loop Groups and Quantum Fields * A. Harris: Some Applications of Variational Calculus in Hermitian Geometry * M. K. Murray: Monopoles * Y. Ruan: Gromov--Witten Invariants and Quantum Cohomology * S. Wu: The Geometry and Physics of the Seiberg--Witten Equations