鲁道夫·哈格1922—2016

Rudolf Haag (17 August 1922 – 5 January 2016) was a German theoretical physicist, who mainly dealt with fundamental questions of quantum field theory. He was one of the founders of the modern formulation of quantum field theory, and he identified the formal structure in terms of the principle of locality and local observables. He also made important advances in the foundations of quantum statistical mechanics.

Biography

Rudolf Haag was born on 17 August 1922, in Tübingen, a university town in the middle of Baden-Württemberg. His family belonged to the cultured middle class. Haag's mother was the writer and politician Anna Haag. His father, Albert Haag, was a teacher of mathematics at a Gymnasium. After finishing high-school in 1939, he visited his sister in London shortly before the beginning of World War II. He was interned as an enemy alien and spent the war in a camp of German civilians in Manitoba. There he used his spare-time after the daily compulsory labour to study physics and mathematics as an autodidact.

After the war, Haag returned to Germany and enrolled at the Technische Hochschule Stuttgart in 1946, where he graduated as a physicist in 1948. In 1951, he received his doctorate at the Ludwig-Maximilians-Universität München under the supervision of Fritz Bopp and became his assistant until 1956. In April 1953, he joined the CERN theoretical study group in Copenhagen directed by Niels Bohr. After a year, he returned to his assistant position in Munich and completed the German habilitation in 1954. From 1956 to 1957, he worked with Werner Heisenberg at the Max Planck Institute for Physics in Göttingen.

From 1957 to 1959, he was a visiting professor at Princeton University and from 1959 to 1960 he worked at Aix-Marseille University. He became a professor of Physics at the University of Illinois Urbana-Champaign in 1960. In 1965, he and Res Jost founded the journal Communications in Mathematical Physics. Haag remained the first editor-in-chief until 1973. In 1966, he accepted the professorship position for theoretical physics at the University of Hamburg, where he stayed until he retired in 1987. After retirement, he worked on the concept of the quantum physical event.

Scientific career

At the beginning of his career, Haag contributed significantly to the concepts of quantum field theory, including Haag's theorem, from which follows that the interaction picture of quantum mechanics does not exist in quantum field theory. A new approach to the description of scattering processes of particles became necessary. In the following years Haag developed what is known as Haag–Ruelle scattering theory.

During this work, he realized that the rigid relationship between fields and particles that had been postulated up to that point, did not exist, and that the particle interpretation should be based on Albert Einstein's principle of locality, which assigns operators to regions of spacetime. These insights found their final formulation in the Haag–Kastler axioms for local observables of quantum field theories. This framework uses elements of the theory of operator algebras and is therefore referred to as algebraic quantum field theory or, from the physical point of view, as local quantum physics.

This concept proved fruitful for understanding the fundamental properties of any theory in four-dimensional Minkowski space. Without making assumptions about non-observable charge-changing fields, Haag, in collaboration with Sergio Doplicher and John E. Roberts, elucidated the possible structure of the superselection sectors of the observables in theories with short-range forces. Sectors can always be composed with one another, each sector satisfies either para-Bose or para-Fermi statistics and for each sector there is a conjugate sector. These insights correspond to the additivity of charges in the particle interpretation, to the Bose–Fermi alternative for particle statistics, and to the existence of antiparticles.

Honors and awards

In 1970, Haag received the Max Planck Medal for outstanding achievements in theoretical physics and in 1997 the Henri Poincaré Prize for his fundamental contributions to quantum field theory as one of the founders of the modern formulation. Since 1980, Haag was a member of the German National Academy of Sciences Leopoldina and since 1981 of the Göttingen Academy of Sciences. Since 1979, he was a corresponding member of the Bavarian Academy of Sciences and since 1987 of the Austrian Academy of Sciences.