nLab Klaus Fredenhagen

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Selected writings

On anyons:

• Klaus Fredenhagen, Karl-Henning Rehren, Bert Schroer, Superselection sectors with braid group statistics and exchange algebras – I: General theory, Comm. Math. Phys. Volume 125, Number 2 (1989), 201-226. (euclid:cmp/1104179464)

• Klaus Fredenhagen, Karl-Henning Rehren, Bert Schroer, Superselection sectors with braid group statistics and exchange algebras – II: Geometric aspects and conformal covariance, Reviews in Mathematical PhysicsVol. 04, No. spec01, pp. 113-157 (1992) (doi:10.1142/S0129055X92000170 pdf)

• Klaus Fredenhagen, Matthias Gaberdiel and Stefan M. Rüger, Scattering states of plektons (particles with braid group statistics) in 2+1 dimensional quantum field theory, Communications in Mathematical Physics 175 (1996) 319–335 [doi:10.1007/BF02102411]

On superselection sectors:

• Klaus Fredenhagen: Superselection Sectors, lecture notes, Hamburg (1994/5) [pdf, pdf]

Examples of non-perturbative interacting scalar field theory in any spacetime dimension (in particular in $d \geq 4$):

• Detlev Buchholz, Klaus Fredenhagen, A $C^\ast$-algebraic approach to interacting quantum field theories, Commun. Math. Phys. 377 (2020) 947–969 [arXiv:1902.06062, doi:10.1007/s00220-020-03700-9]

On the locally covariant pAQFT approach to effective quantum gravity and applications to experiment:

• Romeo Brunetti, Klaus Fredenhagen, Kasia Rejzner, Locally covariant approach to effective quantum gravity, in Handbook of Quantum Gravity, Springer (2023) [arXiv:2212.07800]

On algebraic quantum field theory:

• Detlev Buchholz, Klaus Fredenhagen, Algebraic quantum field theory: objectives, methods, and results, in Encyclopedia of Mathematical Physics 2nd ed, Elsevier (2024) [arXiv:2305.12923]

Related pages

• AQFT, local net of observables

• AQFT on curved spacetimes

• locally covariant perturbative quantum field theory

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