Advances in Algebraic Quantum Field Theory

✍ Scribed by Romeo Brunetti, Claudio Dappiaggi, Klaus Fredenhagen, Jakob Yngvason (Editors)

• Publisher: Springer International Publishing
• Year: 2015
• Tongue: English
• Leaves: 460
• Series: Mathematical Physics Studies
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

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

✦ Subjects

Quantum Field Theories, String Theory; Mathematical Physics; Mathematical Methods in Physics