Vacuum state of the Dirac field in de Sitter space and entanglement entropy
A bstract We compute the entanglement entropy of a free massive Dirac field between two causally disconnected open charts in de Sitter space. We first derive the Bunch-Davies vacuum mode functions of the Dirac field. We find there exists no supercurvature mode for the Dirac field. We then give the B...
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| Veröffentlicht in: | The journal of high energy physics 2017-03, Vol.2017 (3), p.1-20, Article 68 |
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| container_title | The journal of high energy physics |
| container_volume | 2017 |
| creator | Kanno, Sugumi Sasaki, Misao Tanaka, Takahiro |
| description | A
bstract
We compute the entanglement entropy of a free massive Dirac field between two causally disconnected open charts in de Sitter space. We first derive the Bunch-Davies vacuum mode functions of the Dirac field. We find there exists no supercurvature mode for the Dirac field. We then give the Bogoliubov transformation between the Bunch-Davies vacuum and the open chart vacua that makes the reduced density matrix diagonal. We find that the Dirac field becomes more entangled than a scalar field as
m
2
/H
2
becomes small, and the difference is maximal in the massless limit. |
| doi_str_mv | 10.1007/JHEP03(2017)068 |
| format | Article |
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bstract
We compute the entanglement entropy of a free massive Dirac field between two causally disconnected open charts in de Sitter space. We first derive the Bunch-Davies vacuum mode functions of the Dirac field. We find there exists no supercurvature mode for the Dirac field. We then give the Bogoliubov transformation between the Bunch-Davies vacuum and the open chart vacua that makes the reduced density matrix diagonal. We find that the Dirac field becomes more entangled than a scalar field as
m
2
/H
2
becomes small, and the difference is maximal in the massless limit.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP03(2017)068</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Charts ; Classical and Quantum Gravitation ; Density ; Elementary Particles ; Entanglement ; Entropy ; High energy physics ; Mathematical analysis ; Mathematical models ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; Scalars ; String Theory ; Transformations</subject><ispartof>The journal of high energy physics, 2017-03, Vol.2017 (3), p.1-20, Article 68</ispartof><rights>The Author(s) 2017</rights><rights>Journal of High Energy Physics is a copyright of Springer, 2017.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c494t-4a2d0d8da9c1f4860dcaa128ad4f40970d2031dd6ac3dd69d3d75a59936c7b5c3</citedby><cites>FETCH-LOGICAL-c494t-4a2d0d8da9c1f4860dcaa128ad4f40970d2031dd6ac3dd69d3d75a59936c7b5c3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/JHEP03(2017)068$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://doi.org/10.1007/JHEP03(2017)068$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>314,776,780,860,27901,27902,41096,42165,51551</link.rule.ids></links><search><creatorcontrib>Kanno, Sugumi</creatorcontrib><creatorcontrib>Sasaki, Misao</creatorcontrib><creatorcontrib>Tanaka, Takahiro</creatorcontrib><title>Vacuum state of the Dirac field in de Sitter space and entanglement entropy</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
We compute the entanglement entropy of a free massive Dirac field between two causally disconnected open charts in de Sitter space. We first derive the Bunch-Davies vacuum mode functions of the Dirac field. We find there exists no supercurvature mode for the Dirac field. We then give the Bogoliubov transformation between the Bunch-Davies vacuum and the open chart vacua that makes the reduced density matrix diagonal. We find that the Dirac field becomes more entangled than a scalar field as
m
2
/H
2
becomes small, and the difference is maximal in the massless limit.</description><subject>Charts</subject><subject>Classical and Quantum Gravitation</subject><subject>Density</subject><subject>Elementary Particles</subject><subject>Entanglement</subject><subject>Entropy</subject><subject>High energy physics</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Regular Article - Theoretical Physics</subject><subject>Relativity Theory</subject><subject>Scalars</subject><subject>String Theory</subject><subject>Transformations</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><sourceid>BENPR</sourceid><recordid>eNp1kM1LAzEQxYMoWKtnrwEv9bB2spvdJEep1aoFBT-uISbZumW_TLKH_vemrAcRvMy8gd97DA-hcwJXBIDNH1bLZ8hmKRB2CQU_QBMCqUg4ZeLwlz5GJ95vAUhOBEzQ47vSw9BgH1SwuCtx-LT4pnJK47KytcFVi43FL1UI1mHfK22xag22bVDtprZNFPvDdf3uFB2Vqvb27GdP0dvt8nWxStZPd_eL63WiqaAhoSo1YLhRQpOS8gKMVoqkXBlaUhAMTAoZMaZQOotTmMywXOVCZIVmH7nOpmg25vau-xqsD7KpvLZ1rVrbDV4SLjLO8zQlEb34g267wbXxu0gxBpTnLI_UfKS067x3tpS9qxrldpKA3Jcrx3LlvlwZy40OGB0-ku3Gul-5_1i-AcA4euE</recordid><startdate>20170301</startdate><enddate>20170301</enddate><creator>Kanno, Sugumi</creator><creator>Sasaki, Misao</creator><creator>Tanaka, Takahiro</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20170301</creationdate><title>Vacuum state of the Dirac field in de Sitter space and entanglement entropy</title><author>Kanno, Sugumi ; 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High Energ. Phys</stitle><date>2017-03-01</date><risdate>2017</risdate><volume>2017</volume><issue>3</issue><spage>1</spage><epage>20</epage><pages>1-20</pages><artnum>68</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>A
bstract
We compute the entanglement entropy of a free massive Dirac field between two causally disconnected open charts in de Sitter space. We first derive the Bunch-Davies vacuum mode functions of the Dirac field. We find there exists no supercurvature mode for the Dirac field. We then give the Bogoliubov transformation between the Bunch-Davies vacuum and the open chart vacua that makes the reduced density matrix diagonal. We find that the Dirac field becomes more entangled than a scalar field as
m
2
/H
2
becomes small, and the difference is maximal in the massless limit.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP03(2017)068</doi><tpages>20</tpages><oa>free_for_read</oa></addata></record> |
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| language | eng |
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| source | DOAJ Directory of Open Access Journals; EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection; Springer Nature OA Free Journals |
| subjects | Charts Classical and Quantum Gravitation Density Elementary Particles Entanglement Entropy High energy physics Mathematical analysis Mathematical models Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory Scalars String Theory Transformations |
| title | Vacuum state of the Dirac field in de Sitter space and entanglement entropy |
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