3 papers
hep-th1998
Hyperbolic Numbers and the Dirac Spinor
Francesco Antonuccio
A representation of the Lorentz group is given in terms of 4 X 4 matrices defined over the hyperbolic number system. The transformation properties of the corresponding four compone…
hep-th1998
How `Complex' is the Dirac Equation?
Francesco Antonuccio
A representation of the Lorentz group is given in terms of 4 X 4 matrices defined over a simple non-division algebra. The transformation properties of the corresponding four compon…
hep-lat1995
Adjoint 2D QCD and Pure 3D QCD: A Comparison of Spectra
F. Antonuccio, S. Dalley
We briefly review the 1+1-dimensional SU(N) gauge theory minimally coupled to an adjoint scalar, based upon a dimensional reduction of 2+1-dimensional pure gauge theory, which appr…