We propose uncertainty relations for the different coordinates of spacetime events, motivated by Heisenbergâ€™s principle and by Einsteinâ€™s theory of classical gravity. A model of Quantum Spacetime isâ€¦ (More)

We present a perturbative construction of interacting quantum field theories on smooth globally hyperbolic (curved) space-times. We develop a purely local version of theâ€¦ (More)

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 corresponding n-point distributions, calledâ€¦ (More)

Interacting fields can be constructed as formal power series in the framework of causal perturbation theory. The local field algebrÃ£ F (O) is obtained without performing the adiabatic limit; theâ€¦ (More)

The perturbative treatment of quantum field theory is formulated within the framework of algebraic quantum field theory. We show that the algebra of interacting fields is additive, i.e. fullyâ€¦ (More)

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 [36]. In ourâ€¦ (More)

We give a definition of admissible counterterms appropriate for massive quantum field theories on the noncommutative Minkowski space, based on a suitable notion of locality. We then define productsâ€¦ (More)

A new formalism for the perturbative construction of algebraic quantum eld theory is developed. The formalism allows the treatment of low dimensional theories and of non-polynomial interactions. Weâ€¦ (More)

It is shown that the violation of unitarity observed in space/time noncommu-tative field theories is due to an improper definition of quantum field theory on noncommutative spacetime. Quantum fieldâ€¦ (More)