@article{1448858,
      recid = {1448858},
      author = {Moshayedi, Nima,},
      title = {Kontsevich's deformation quantization and quantum field  theory /},
      pages = {1 online resource (xiii, 336 pages) :},
      abstract = {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.},
      url = {http://library.usi.edu/record/1448858},
      doi = {https://doi.org/10.1007/978-3-031-05122-7},
}