Logo

Algebraic Quantum Field Theory: An Introduction

Small book cover: Algebraic Quantum Field Theory: An Introduction

Algebraic Quantum Field Theory: An Introduction
by

Publisher: arXiv.org
Number of pages: 47

Description:
We give a pedagogical introduction to algebraic quantum field theory (AQFT), with the aim of explaining its key structures and features. Topics covered include: algebraic formulations of quantum theory and the GNS representation theorem, the appearance of unitarily inequivalent representations in QFT (exemplified by the van Hove model), the main assumptions of AQFT and simple models thereof, the spectrum condition, etc.

Home page url

Download or read it online for free here:
Download link
(510KB, PDF)

Similar books

Book cover: Quantum Field Theory on Noncommutative SpacesQuantum Field Theory on Noncommutative Spaces
by - arXiv
An introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity. Topics covered include the Weyl-Wigner correspondence, noncommutative Feynman diagrams, etc.
(12331 views)
Book cover: The Monte Carlo Method in Quantum Field TheoryThe Monte Carlo Method in Quantum Field Theory
by - arXiv
This series of six lectures is an introduction to using the Monte Carlo method to carry out nonperturbative studies in quantum field theories. Path integrals in quantum field theory are reviewed, and their evaluation is presented.
(9468 views)
Book cover: Introductory Lectures on Topological Quantum Field TheoryIntroductory Lectures on Topological Quantum Field Theory
by - arXiv.org
These notes offer a lightening introduction to topological quantum field theory in its functorial axiomatisation assuming no or little prior exposure. We highlight the algebraic formulation emerging from a formal generators-and-relations description.
(5507 views)
Book cover: Quantum Field Theory as a Faithful Image of NatureQuantum Field Theory as a Faithful Image of Nature
by - arXiv
This book can be used as a textbook on quantum field theory for students of physics or as a monograph for philosophers and physicists interested in the epistemological foundations of particle physics. The reader is stimulated to critical thinking ...
(7169 views)