Evaluation of entanglement entropy in high energy elastic scattering
| Autor: | Shigenori Seki, Robi Peschanski |
|---|---|
| Přispěvatelé: | Institut de Physique Théorique - UMR CNRS 3681 (IPHT), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Université Paris-Saclay-Commissariat à l'énergie atomique et aux énergies alternatives (CEA) |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
High Energy Physics - Theory
High energy p p: scattering elastic scattering FOS: Physical sciences Quantum entanglement 01 natural sciences Phenomenological aspects of field theory symbols.namesake High Energy Physics - Phenomenology (hep-ph) Quantum mechanics 0103 physical sciences entropy: entanglement Entropy (energy dispersal) 010306 general physics Elastic scattering Physics energy: high 010308 nuclear & particles physics [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] Hilbert space two-particle general methods Elastic collision regularization High Energy Physics - Phenomenology High Energy Physics - Theory (hep-th) [PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph] symbols |
| Zdroj: | Physical Review Physical Review D Physical Review D, American Physical Society, 2019, 100 (7), pp.076012. ⟨10.1103/PhysRevD.100.076012⟩ Phys.Rev.D Phys.Rev.D, 2019, 100 (7), pp.076012. ⟨10.1103/PhysRevD.100.076012⟩ |
| ISSN: | 1550-7998 1550-2368 |
| DOI: | 10.1103/PhysRevD.100.076012⟩ |
| Popis: | Entanglement of the two scattered particles is expected to occur in elastic collisions, even at high energy where they are in competition with inelastic ones. We study how to evaluate quantitatively the corresponding entanglement entropy $S_{\rm EE}.$ For this sake, we regularize the divergences occurring in the formal derivation of $S_{\rm EE}$ using a regularization procedure acting on the two-particle Hilbert space of final states. A quantitative application is performed in proton-proton collisions at collider energies, comparing the results of $S_{\rm EE}$ with two different cut-offs and with a volume-regularization obtained by a prescription fixing the finite two-body Hilbert space volume. A significant entanglement is found which persists even at the highest available energies. Comment: 18 pages, 1 figure; v2: footnote 1 added in Sec.2.1, comments on spin added in Sec. 4, refs added, typos corrected, version for publication |
| Databáze: | OpenAIRE |
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