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The quantum structure of spacetime at the Planck scale and quantum fields
- S. Doplicher, K. Fredenhagen, John E. Roberts
- Physics
- 1 August 1995
We propose uncertainty relations for the different coordinates of spacetime events, motivated by Heisenberg's principle and by Einstein's theory of classical gravity. A model of Quantum Spacetime is…
Microlocal Analysis and¶Interacting Quantum Field Theories:¶Renormalization on Physical Backgrounds
- R. Brunetti, K. Fredenhagen
- Mathematics
- 12 March 1999
Abstract:We present a perturbative construction of interacting quantum field theories on smooth globally hyperbolic (curved) space-times. We develop a purely local version of the…
The Generally Covariant Locality Principle – A New Paradigm for Local Quantum Field Theory
- R. Brunetti, K. Fredenhagen, R. Verch
- Mathematics
- 19 December 2001
Abstract: A new approach to the model-independent description of quantum field theories will be introduced in the present work. The main feature of this new approach is to incorporate in a local…
Algebraic approach to Quantum Field Theory
- R. Brunetti, K. Fredenhagen
- Physics
- 22 November 2004
Locality and the structure of particle states
- D. Buchholz, K. Fredenhagen
- Physics
- 1 March 1982
Starting from the principle of locality of observables we derive localization properties of massive particle states which hold in all models of relativistic quantum theory, including gauge theories.…
The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes
- R. Brunetti, K. Fredenhagen, M. Köhler
- Mathematics
- 27 October 1995
Quantum fields propagating on a curved spacetime are investigated in terms of microlocal analysis. We discuss a condition on the wave front set for the correspondingn-point distributions, called…
Spacetime quantization induced by classical gravity
- S. Doplicher, K. Fredenhagen, John E. Roberts
- Physics
- 30 June 1994
Superselection sectors with braid group statistics and exchange algebras
- K. Fredenhagen, K. Rehren, B. Schroer
- Mathematics
- 1 June 1989
The theory of superselection sectors is generalized to situations in which normal statistics has to be replaced by braid group statistics. The essential role of the positive Markov trace of algebraic…
Causal perturbation theory in terms of retarded products, and a proof of the Action Ward Identity
- M. Duetsch, K. Fredenhagen
- Mathematics
- 22 March 2004
In the framework of perturbative algebraic quantum field theory a local construction of interacting fields in terms of retarded products is performed, based on earlier work of Steinmann. In our…
Superselection sectors with braid group statistics and exchange algebras. 2. Geometric aspects and conformal covariance
- K. Fredenhagen, K. Rehren, B. Schroer
- Mathematics
- 1 December 1992
The general theory of superselection sectors is shown to provide almost all the structure observed in two-dimensional conformal field theories. Its application to two-dimensional conformally…
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