Advances in Algebraic Quantum Field Theory (Mathematical Physics Studies)

This text focuses on the algebraic formulation of quantum field theory, from the introductory aspects to the applications to concrete problems of physical interest. The book is divided in thematic chapters covering both introductory and more advanced topics. These include the algebraic, perturbative approach to interacting quantum field theories, algebraic quantum field theory on curved spacetimes (from its structural aspects to the applications in cosmology and to the role of quantum spacetimes), algebraic conformal field theory, the Kitaev's quantum double model from the point of view of local quantum physics and constructive aspects in relation to integrable models and deformation techniques. The book is addressed to master and graduate students both in mathematics and in physics, who are interested in learning the structural aspects and the applications of algebraic quantum field theory. Front Matter....Pages i-xii An Introduction to Algebraic Quantum Field Theory....Pages 1-30 Perturbative Construction of Models of Algebraic Quantum Field Theory....Pages 31-74 Models of Free Quantum Field Theories on Curved Backgrounds....Pages 75-124 Algebraic Quantum Field Theory in Curved Spacetimes....Pages 125-189 Algebraic QFT in Curved Spacetime and Quasifree Hadamard States: An Introduction....Pages 191-251 Cosmological Applications of Algebraic Quantum Field Theory....Pages 253-288 Quantum Spacetime and Algebraic Quantum Field Theory....Pages 289-329 Algebraic Conformal Quantum Field Theory in Perspective....Pages 331-364 Kitaev’s Quantum Double Model from a Local Quantum Physics Point of View....Pages 365-395 Algebraic Constructive Quantum Field Theory: Integrable Models and Deformation Techniques....Pages 397-448 Back Matter....Pages 449-453 "This text focuses on the algebraic formulation of quantum field theory, from the introductory aspects to the applications to concrete problems of physical interest. The book is divided in thematic chapters covering both introductory and more advanced topics. These include the algebraic, perturbative approach to interacting quantum field theories, algebraic quantum field theory on curved spacetimes (from its structural aspects to the applications in cosmology and to the role of quantum spacetimes), algebraic conformal field theory, the Kitaev's quantum double model from the point of view of local quantum physics and constructive aspects in relation to integrable models and deformation techniques." -- Back cover