Finster, Felix and Lottner, Magdalena and Sobolev, Alexander v (2024) The fermionic entanglement entropy and area law for the relativistic Dirac vacuum state. ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 28 (6). ISSN 1095-0761, 1095-0753
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We consider the fermionic entanglement entropy for the free Dirac field in a bounded spatial region of Minkowski spacetime. In order to make the system ultraviolet finite, a regularization is introduced. An area law is proven in the limiting cases where the volume tends to infinity and/or the regularization length tends to zero. The tech- nical core of the paper is to generalize a theorem of Harold Widom to pseudo-differential operators whose principal symbols develop a specific discontinuity at a single point.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 28 Jul 2025 08:20 |
| Last Modified: | 28 Jul 2025 08:20 |
| URI: | https://pred.uni-regensburg.de/id/eprint/63817 |
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