2006/12/31 by Felix Finster · 1 citation
Physics and Astronomy · Mathematics · #math-ph #hep-th #math.MP
paper · pdf · doi:10.1063/1.2888187
published as J. Math. Phys.49:032304, 2008 · 66 pages, LaTeX, 8 figures, minor improvements (published version)
arxiv created 2008/03/04 · arxiv updated 2014/11/18
We construct families of fermionic projectors with spherically symmetric regularization, which satisfy the condition of a distributional M P-product. The method is to analyze regularization tails with a power-law or logarithmic scaling in composite expressions in the fermionic projector. The resulting regularizations break the Lorentz symmetry and give rise to a multi-layer structure of the fermionic projector near the light cone. The remaining freedom for the regularization parameters and the consequences for the normalization of the fermionic states are discussed.