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The quantum structure of spacetime at the Planck scale and quantum fields

- S. Doplicher, K. Fredenhagen, J. 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… Expand

Microlocal Analysis and¶Interacting Quantum Field Theories:¶Renormalization on Physical Backgrounds

- R. Brunetti, K. Fredenhagen
- Physics, 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… Expand

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.… Expand

The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes

- R. Brunetti, K. Fredenhagen, M. Köhler
- Mathematics, Physics
- 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… Expand

Algebraic approach to Quantum Field Theory

- R. Brunetti, K. Fredenhagen
- Physics, Mathematics
- 22 November 2004

We provide a short introduction to the main features of the algebraic approach to quantum field theories.

Spacetime quantization induced by classical gravity

- S. Doplicher, K. Fredenhagen, J. E. Roberts
- Physics
- 30 June 1994

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

- 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… Expand

The Generally Covariant Locality Principle – A New Paradigm for Local Quantum Field Theory

- R. Brunetti, K. Fredenhagen, R. Verch
- Mathematics, Physics
- 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… Expand

Causal perturbation theory in terms of retarded products, and a proof of the Action Ward Identity

- M. Duetsch, K. Fredenhagen
- Mathematics, Physics
- 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… Expand

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