The Fermionic Entanglement Entropy and Area Law for the Relativistic Dirac Vacuum State
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866910753669251072 |
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| author | Finster, Felix Lottner, Magdalena Sobolev, Alexander V. |
| author_facet | Finster, Felix Lottner, Magdalena Sobolev, Alexander V. |
| contents | 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 technical 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_03493 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Fermionic Entanglement Entropy and Area Law for the Relativistic Dirac Vacuum State Finster, Felix Lottner, Magdalena Sobolev, Alexander V. Mathematical Physics Spectral Theory Quantum Physics 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 technical 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. |
| title | The Fermionic Entanglement Entropy and Area Law for the Relativistic Dirac Vacuum State |
| topic | Mathematical Physics Spectral Theory Quantum Physics |
| url | https://arxiv.org/abs/2310.03493 |