Kontsevich’s Deformation Quantization and Quantum Field Theory

Released on by Nima Moshayedi
preview-18

  • Kontsevich’s Deformation Quantization and Quantum Field Theory Book Detail

  • Author : Nima Moshayedi
  • Release Date : 2022-08-11
  • Publisher : Springer Nature
  • Genre : Mathematics
  • Pages : 345
  • ISBN 13 : 303105122X
  • File Size : 46,46 MB
DOWNLOAD BOOK

Kontsevich’s Deformation Quantization and Quantum Field Theory by Nima Moshayedi PDF Summary

Book Description: 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.

Disclaimer: www.yourbookbest.com does not own Kontsevich’s Deformation Quantization and Quantum Field Theory books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Formality Theory

Formality Theory

File Size : 36,36 MB
Total View : 3147 Views
DOWNLOAD

This book is a survey of the theory of formal deformation quantization of Poisson manifolds, in the formalism developed by Kontsevich. It is intended as an educ