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Moshayedi

Kontsevich's Deformation Quantization and Quantum Field Theory

Medium: Buch
ISBN: 978-3-031-05121-0
Verlag: Springer International Publishing
Erscheinungstermin: 13.08.2022
Lieferfrist: bis zu 10 Tage

This book provides an introduction to deformation quantization and its relation to quantum field theory, with a focus on the constructions of Kontsevich and Cattaneo & Felder. This subject originated from an attempt to understand the mathematical structure when passing from a commutative classical algebra of observables to a non-commutative quantum algebra of observables. Developing deformation quantization as a semi-classical limit of the expectation value for a certain observable with respect to a special sigma model, the book carefully describes the relationship between the involved algebraic and field-theoretic methods. The connection to quantum field theory leads to the study of important new field theories and to insights in other parts of mathematics such as symplectic and Poisson geometry, and integrable systems. Based on lectures given by the author at the University of Zurich, the book will be of interest to graduate students in mathematics or theoretical physics. Readers will be able to begin the first chapter after a basic course in Analysis, Linear Algebra and Topology, and references are provided for more advanced prerequisites.


Produkteigenschaften


  • Artikelnummer: 9783031051210
  • Medium: Buch
  • ISBN: 978-3-031-05121-0
  • Verlag: Springer International Publishing
  • Erscheinungstermin: 13.08.2022
  • Sprache(n): Englisch
  • Auflage: 1. Auflage 2022
  • Serie: Lecture Notes in Mathematics
  • Produktform: Kartoniert
  • Gewicht: 534 g
  • Seiten: 336
  • Format (B x H x T): 155 x 235 x 20 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

- 1. Introduction. - 2. Foundations of Differential Geometry. - 3. Symplectic Geometry. - 4. Poisson Geometry. - 5. Deformation Quantization. - 6. Quantum Field Theoretic Approach to Deformation Quantization.