101 citations · 180 across the 8 of their papers we have counts for
8 papers
Star Products and Geometric Algebra
Peter Henselder, Allen C. Hirshfeld, Thomas Spernat
The formalism of geometric algebra can be described as deformed super analysis. The deformation is done with a fermionic star product, that arises from deformation quantization of…
Cliffordization, Spin and Fermionic Star Products
Allen C. Hirshfeld, Peter Henselder, Thomas Spernat
Deformation quantization is a powerful tool for quantizing theories with bosonic and fermionic degrees of freedom. The star products involved generate the mathematical structures w…
Deformation quantization in the teaching of quantum mechanics
Allen C. Hirshfeld, Peter Henselder
We discuss the deformation quantization approach for the teaching of quantum mechanics. This approach has certain conceptual advantages which make its consideration worthwhile. In…
Star products and perturbative quantum field theory
Allen C. Hirshfeld, Peter Henselder
We discuss the application of the deformation quantization approach to perturbative quantum field theory. We show that the various forms of Wick's theorem are a direct consequence…
The partition function of the linear Poisson-sigma model on arbitrary surfaces
Allen C. Hirshfeld, Thomas Schwarzweller
We perform the calculation of the partition function of the Poisson-sigma model on the world sheet with the topology of a two-dimensional disc. Considering the special case of a li…
Poisson-Sigma Models
Allen C. Hirshfeld, Thomas Schwarzweller
We investigate the Poisson-Sigma model on the classical and quantum level. In the classical analysis we show how this model includes various known two-dimensional field theories. T…