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書名 Geometric analysis and applications to quantum field theory [electronic resource] / Peter Bouwknegt, Siye Wu, editors
出版項 Boston : Birkhäuser, ©2002
國際標準書號 9781461200673 (electronic bk.)
1461200679 (electronic bk.)
book jacket
說明 1 online resource (ix, 203 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
系列 Progress in mathematics ; v. 205
Progress in mathematics (Boston, Mass.) ; v. 205
附註 Includes bibliographical references
Semiclassical approximation in Chern-Simons gauge theory / David H. Adams -- The Knizhnik-Zamolodchikov equations / Peter Bouwknegt -- Loop groups and quantum fields / Alan L. Carey and Edwin Langmann -- Some applications of variational calculus in Hermitian geometry / Adam Harris -- Monopoles / Michael K. Murray -- Gromov-witten invariants and quantum cohomology / Yongbin Ruan -- The geometry and physics of the Seiberg-Witten equations / Siye Wu
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digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL
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
Description based on print version record
鏈接 Print version: (DLC) 2002020200 (OCoLC)48920357
主題 Geometry
Quantum field theory
Mathematical physics
Champs, Théorie quantique des
Physique mathématique
Gewone differentiaalvergelijkingen. gtt
Geometrische Analysis -- Quantenfeldtheorie -- Aufsatzsammlung. swd
Quantenfeldtheorie -- Geometrische Analysis -- Aufsatzsammlung. swd
Geometry. fast (OCoLC)fst00940864
Mathematical physics. fast (OCoLC)fst01012104
Quantum field theory. fast (OCoLC)fst01085105
Electronic books
Alt Author Bouwknegt, P
Wu, Siye
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