Finster, Felix and Roeken, Christian (2019) The Fermionic Signature Operator in the Exterior Schwarzschild Geometry. ANNALES HENRI POINCARE, 20 (10). pp. 3389-3418. ISSN 1424-0637, 1424-0661
Full text not available from this repository. (Request a copy)Abstract
The structure of the solution space of the Dirac equation in the exterior Schwarzschild geometry is analyzed. Representing the space-time inner product for families of solutions with variable mass parameter in terms of the respective scalar products, a so-called mass decomposition is derived. This mass decomposition consists of a single mass integral involving the fermionic signature operator as well as a double integral which takes into account the flux of Dirac currents across the event horizon. The spectrum of the fermionic signature operator is computed. The corresponding generalized fermionic projector states are analyzed.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | NONPERTURBATIVE CONSTRUCTION; DIRAC PARTICLES; SPACE-TIMES; SCATTERING; PROJECTOR; STATES; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 30 Mar 2020 06:46 |
| Last Modified: | 06 Apr 2020 06:31 |
| URI: | https://pred.uni-regensburg.de/id/eprint/26175 |
Actions (login required)
 |
View Item |
