K. Fredenhagen

Publications135
h-index39
Citations7,199
Highly Influential Citations346
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The quantum structure of spacetime at the Planck scale and quantum fields
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… Expand
Microlocal Analysis and¶Interacting Quantum Field Theories:¶Renormalization on Physical Backgrounds
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… Expand
Locality and the structure of particle states
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.… Expand
The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes
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… Expand
Algebraic approach to Quantum Field Theory
We provide a short introduction to the main features of the algebraic approach to quantum field theories.
Spacetime quantization induced by classical gravity
We propose spacetime uncertainty relations motivated by Heisenberg's uncertainty principle and by Einstein's theory of classical gravity. Quantum spacetime is described by a non-commutative algebra… Expand
Communications in Mathematical Physics The Generally Covariant Locality Principle – A New Paradigm for Local Quantum Field Theory
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 sense the… Expand
Superselection sectors with braid group statistics and exchange algebras
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… Expand
The Generally Covariant Locality Principle – A New Paradigm for Local Quantum Field Theory
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… Expand
Causal perturbation theory in terms of retarded products, and a proof of the Action Ward Identity
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… Expand
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