dc.contributor.author | Tranberg, Anders | |
dc.contributor.author | Millington, P | |
dc.contributor.author | Mou, Zonggang | |
dc.contributor.author | Saffin, Paul M. | |
dc.date.accessioned | 2021-12-22T12:29:31Z | |
dc.date.available | 2021-12-22T12:29:31Z | |
dc.date.created | 2021-12-07T12:40:49Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Millington, P., Mou, Z-G., Saffin, P.M., Tranberg, A. (2021) Statistics on Lefschetz thimbles: Bell/Leggett-Garg inequalities and the classical-statistical approximation. Journal of High Energy Physics (JHEP), 77 (2021) | en_US |
dc.identifier.issn | 1126-6708 | |
dc.identifier.uri | https://hdl.handle.net/11250/2835389 | |
dc.description.abstract | Inspired by Lefschetz thimble theory, we treat Quantum Field Theory as a statistical theory with a complex Probability Distribution Function (PDF). Such complex-valued PDFs permit the violation of Bell-type inequalities, which cannot be violated by a real-valued, non-negative PDF. In this paper, we consider the Classical-Statistical approximation in the context of Bell-type inequalities, viz. the familiar (spatial) Bell inequalities and the temporal Leggett-Garg inequalities. We show that the Classical-Statistical approximation does not violate temporal Bell-type inequalities, even though it is in some sense exact for a free theory, whereas the full quantum theory does. We explain the origin of this discrepancy, and point out the key difference between the spatial and temporal Bell-type inequalities. We comment on the import of this work for applications of the Classical-Statistical approximation. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Springer Nature Switzerland AG | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.subject | fysikk | en_US |
dc.title | Statistics on Lefschetz thimbles: Bell/Leggett-Garg inequalities and the classical-statistical approximation | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | © The Authors | en_US |
dc.subject.nsi | VDP::Matematikk og Naturvitenskap: 400::Fysikk: 430 | en_US |
dc.source.journal | Journal of High Energy Physics (JHEP) | en_US |
dc.identifier.doi | 10.1007/JHEP03(2021)077 | |
dc.identifier.cristin | 1965543 | |
dc.source.articlenumber | 77 (2021) | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |