Finster, Felix (2008) On the regularized fermionic projector of the vacuum. JOURNAL OF MATHEMATICAL PHYSICS, 49 (3): 032304. ISSN 0022-2488, 1089-7658
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We construct families of fermionic projectors with spherically symmetric regularization, which satisfy the condition of a distributional MP-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 multilayer structure of the fermionic projector near the light cone. Furthermore, we construct regularizations which go beyond the distributional MP-product in that they yield additional distributional contributions supported at the origin. The remaining freedom for the regularization parameters and the consequences for the normalization of the fermionic states are discussed. (C) 2008 American Institute of Physics.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DISCRETE SPACE-TIME; PRINCIPLE; GRAVITY; FOAM; |
| Subjects: | 500 Science > 510 Mathematics 500 Science > 530 Physics |
| Divisions: | Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 09 Nov 2020 05:41 |
| Last Modified: | 09 Nov 2020 05:41 |
| URI: | https://pred.uni-regensburg.de/id/eprint/31284 |
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