Rudolf Haag

Rudolf Haag ( born August 17, 1922 in Tübingen ) is a German theoretical physicist who mainly dealing with axiomatic quantum field theory.

Life

Hague's father was a high school teacher of mathematics, his mother the novelist and politician Anna Haag. As Hague was staying in England at the beginning of World War II, he was interned during the war in Canada, where he continued taught himself. He studied from 1946 at Stuttgart University (then Institute of Technology), where he earned his graduate degree in physics in 1948. He was born in 1951 in Munich doctorate at Fritz Bopp ( The correspondence convenient method in the theory of elementary particles) and his habilitation in 1954 ( to relativistic quantum theory of interacting particles ). 1951 to 1953 he was an assistant at the University of Munich ( 1954 Adjunct ) and 1953/54, in the theory group of CERN, which was still in Copenhagen at that time. 1956/1957 he worked at the Max Planck Institute for Physics in Göttingen. After visiting professorships at Princeton University and Marseille from 1960 to 1966 he was professor of physics at the University of Illinois at Urbana- Champaign. After that, he was until his retirement Professor of Theoretical Physics at the University of Hamburg, where he founded a school of mathematical treatment of quantum field theory. In 1987 he retired from the University. In 1965, he was with Res Jost founder of the leading journal for mathematical physics, " Communications in Mathematical Physics ".

In 1970 he received the Max Planck Medal and 1997 the Henri Poincaré Prize. He is a member of the German Academy of Sciences Leopoldina ( since 1980) and the Academy of Sciences in Göttingen as well as a corresponding member of the Bavarian Academy of Sciences and the Austrian Academy of Sciences.

Among his students Detlev Buchholz, Klaus Fredenhagen, Bert Schroer, Huzihiro Araki, Ewa Trych - Pohlmeyer and Volker Enß.

Work

Hague gave a mathematical formulation of quantum field theory with the Haag- Kastler axioms, also known as algebraic quantum field theory. This approach uses the language of C * - algebras and operator designated by the Hague School "Local Quantum Physics". Partly this algebraic approach was motivated by the haagsche theorem. The theorem states that for interacting quantum fields (which are in quantum field theory operators) is no Fock space representation of the canonical commutator or Antikommutatorrelationen, as these inevitably would be unitarily equivalent to the free fields. Of the theorem follows in particular the inconsistency of the interaction picture are mostly used in textbooks for interacting relativistic quantum fields. Practically, there was the first in the divergence of the perturbative development, were the first to Silvan S. Schweber and Arthur Strong Wightman on a model of Léon Van Hove in 1955, which they attributed directly to the existence of infinitely many unitarily inequivalent representations. Hague was then with David Ruelle, a mathematical formulation of scattering theory in relativistic quantum field theory ( " Haag- Ruelle theory" ).

The Hague - Lopuszanski - Sohnius theorem from 1975 classified the possible supersymmetries of the S matrix, which are not covered by the Coleman - Mandula theorem.

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