nLab Rudolf Haag

Rudolf Haag (1922-2016) was a mathematical physicist working in the context of AQFT.

• Wikipedia entry

• MathGenealogy page

• inSpire page

Selected writings

On the foundations of algebraic quantum field theory, introducing the Haag-Kastler axioms:

• Rudolf Haag, Daniel Kastler, An algebraic approach to quantum field theory, Journal of Mathematical Physics, Bd.5, 1964, S.848-861 (doi:10.1063/1.1704187, spire:9124)

following

• Rudolf Haag, Discussion des “axiomes” et des propriétés asymptotiques d’une théorie des champs locales avec particules composées, Les Problèmes Mathématiques de la Théorie Quantique des Champs, Colloque Internationaux du CNRS LXXV (Lille 1957), CNRS Paris (1959), 151.

translated to English as:

• Rudolf Haag, Discussion of the ‘axioms’ and the asymptotic properties of a local field theory with composite particles, EPJ H 35, 243–253 (2010) (doi:10.1140/epjh/e2010-10041-3)

Introducing what came to be called DHR superselection theory in algebraic quantum field theory (and the Doplicher-Roberts reconstruction theorem)

• Sergio Doplicher, Rudolf Haag, John E. Roberts: Fields, observables and gauge transformations I, Commun.Math. Phys. 13 (1969) 1–23 [doi:10.1007/BF01645267]

• Sergio Doplicher, Rudolf Haag, John E. Roberts: Fields, observables and gauge transformations II, Commun. Math. Phys. 15 (1969) 173–200 [doi:10.1007/BF01645674]

and relating to particle statistics (parastatistics) in view of causal locality:

• Sergio Doplicher, Rudolf Haag, John E. Roberts: Local observables and particle statistics I, Commun.Math. Phys. 23 (1971) 199–230 [doi:10.1007/BF01877742, euclid:cmp/1103857630]

• Sergio Doplicher, Rudolf Haag, John E. Roberts: Local observables and particle statistics I, Commun.Math. Phys. 35 (1974) 49–85 [doi:10.1007/BF01646454]

Textbook account of AQFT:

• Rudolf Haag, Local Quantum Physics – Fields, Particles, Algebras Springer (1992) 2nd., rev. and enlarged ed. Springer (1996) (ISBN 978-3-642-61458-3)

Introducing the Haag–Łopuszański–Sohnius theorem:

• Rudolf Haag, Jan Łopuszański, Martin Sohnius, All possible generators of supersymmetries of the S-matrix, Nuclear Physics B, 88: 257–274 (1975) (doi:10.1016/0550-3213(75)90279-5, spire:90850)

On mathematical physics:

• Some people and some problems met in half a century of commitment to mathematical physics, Personal recollection, The European Physical Journal H November 2010, Volume 35, Issue 3, pp 263-307 (web)

related $n$Lab entries

• Haag-Kastler axioms, AQFT

• DHR superselection theory

• Haag–Łopuszański–Sohnius theorem

category: people