Prof. Dr. Klaus Fredenhagen


II. Institut für Theoretische Physik
Universität Hamburg
Luruper Chaussee 149
22761 Hamburg

Office: 2a/609

Phone: + 49 - (0)40 8998-2275

Fax: + 49 - (0)40 8998-2267

E-mail: klaus.fredenhagen(a)

Algebraic Quantum Field Theory

Quantum Field Theory (QFT) is the general framework for the description of the physics of relativistic quantum systems, notably of elementary particles. It is the synthesis of Quantum Theory and Special Relativity, supplemented by the principle of Locality in space and time, and by the Spectral Condition in energy and momentum. Algebraic QFT (AQFT) emphasizes the role of algebraic relations among observables which determine, rather than quantum fields proper, a physical system.

Books on AQFT

  • R. Haag: Local Quantum Physics, Springer Verlag 1992
  • H. Araki: Mathematical Theory of Quantum Fields, Oxford University Press 1999
  • H. Baumg√§rtel, M. Wollenberg: Causal Nets of Operator Algebras, Akademie Verlag 1992
  • D. Kastler (ed.): The Algebraic Theory of Superselection Sectors, World Scientific 1990
  • O. Bratteli, D. Robinson: Operator Algebras and Quantum Statistical Mechanics, Volumes I and II, Springer Verlag 2002.