Couverture / Jaquette

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.

Fonctionnalité

Reference book on Algebraic Quantum Field Theory: from an introduction to the field up to the most recent advanced topics

Written and edited by leading experts in the field

Provides mathematicians with concrete applications for their techniques such as for example microlocal analysis or infinite dimensional calculus

Includes supplementary material: sn.pub/extras

Table des matières

Structural aspects of quantum field theory.- Introduction to Algebraic Quantum Field Theory.- Algebraic Quantum Field Theory on curved backgrounds.- QED and infrared sectors.- Applicative aspects of algebraic quantum field theory.- Hadamard States and Microlocal Analysis.- Applications of algebraic quantum field theory to cosmology.- Conformal Field Theory and its applications.- Supersymmetric algebraic quantum field theory.- Interacting field theories.- Perturbative Algebraic Quantum Field Theory.- Integrable models and construction of interacting quantum field theories.- Kitaev¿s Toric Code model.- Algebraic quantum field theory on non commutative spacetimes.

Détails