Absence of Ground States in the Translation Invariant Massless Nelson Model
In this paper, the translation invariant massless Nelson model with ultraviolet cutoff is investigated. It is proven that the fiber operators does not have a ground state if the interaction is not infrared regular. Similar results have been obtained by other authors under severe assumptions on the r...
Gespeichert in:
| Veröffentlicht in: | Annales Henri Poincaré 2020-08, Vol.21 (8), p.2655-2679 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 2679 |
|---|---|
| container_issue | 8 |
| container_start_page | 2655 |
| container_title | Annales Henri Poincaré |
| container_volume | 21 |
| creator | Dam, Thomas Norman |
| description | In this paper, the translation invariant massless Nelson model with ultraviolet cutoff is investigated. It is proven that the fiber operators does not have a ground state if the interaction is not infrared regular. Similar results have been obtained by other authors under severe assumptions on the regularity of the mass shell. The method introduced in this paper works under very general conditions and relies only on rotation invariance of the mass shell, non-degeneracy of ground states and the HVZ theorem. |
| doi_str_mv | 10.1007/s00023-020-00928-y |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2426811702</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2426811702</sourcerecordid><originalsourceid>FETCH-LOGICAL-c385t-aea5560f9bbdd2128be5f7f040d2e9293154a7031544771ba1283c46cc33dd473</originalsourceid><addsrcrecordid>eNp9kM1OwzAQhC0EEqXwApwscQ6sfxInx6qCUtHCgXK2nMSBVMEpXgepb49LENw47Uo7Mzv6CLlkcM0A1A0CABcJcEgACp4n-yMyYZLLBLKMHf_uQp2SM8QtAOO5KCbkYVaidZWlfUMXvh9cTZ-DCRZp62h4s3TjjcPOhLZ3dOk-jW-NC3RtEDuLSB9th_Gy7mvbnZOTxnRoL37mlLzc3W7m98nqabGcz1ZJJfI0JMaaNM2gKcqyrnnsUdq0UQ1IqLkteCFYKo2Cw5BKsdIcqlYyqyoh6loqMSVXY-7O9x-DxaC3_eBdfKm55FnOmIowpoSPqsr3iN42eufbd-P3moE-QNMjNB2h6W9oeh9NYjRhFLtX6_-i_3F9AeRJbrM</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2426811702</pqid></control><display><type>article</type><title>Absence of Ground States in the Translation Invariant Massless Nelson Model</title><source>SpringerNature Journals</source><creator>Dam, Thomas Norman</creator><creatorcontrib>Dam, Thomas Norman</creatorcontrib><description>In this paper, the translation invariant massless Nelson model with ultraviolet cutoff is investigated. It is proven that the fiber operators does not have a ground state if the interaction is not infrared regular. Similar results have been obtained by other authors under severe assumptions on the regularity of the mass shell. The method introduced in this paper works under very general conditions and relies only on rotation invariance of the mass shell, non-degeneracy of ground states and the HVZ theorem.</description><identifier>ISSN: 1424-0637</identifier><identifier>EISSN: 1424-0661</identifier><identifier>DOI: 10.1007/s00023-020-00928-y</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Classical and Quantum Gravitation ; Dynamical Systems and Ergodic Theory ; Elementary Particles ; Ground state ; Invariants ; Mathematical and Computational Physics ; Mathematical Methods in Physics ; Physics ; Physics and Astronomy ; Quantum Field Theory ; Quantum Physics ; Relativity Theory ; Theoretical</subject><ispartof>Annales Henri Poincaré, 2020-08, Vol.21 (8), p.2655-2679</ispartof><rights>Springer Nature Switzerland AG 2020</rights><rights>Springer Nature Switzerland AG 2020.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c385t-aea5560f9bbdd2128be5f7f040d2e9293154a7031544771ba1283c46cc33dd473</citedby><cites>FETCH-LOGICAL-c385t-aea5560f9bbdd2128be5f7f040d2e9293154a7031544771ba1283c46cc33dd473</cites><orcidid>0000-0003-4481-8421</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00023-020-00928-y$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00023-020-00928-y$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Dam, Thomas Norman</creatorcontrib><title>Absence of Ground States in the Translation Invariant Massless Nelson Model</title><title>Annales Henri Poincaré</title><addtitle>Ann. Henri Poincaré</addtitle><description>In this paper, the translation invariant massless Nelson model with ultraviolet cutoff is investigated. It is proven that the fiber operators does not have a ground state if the interaction is not infrared regular. Similar results have been obtained by other authors under severe assumptions on the regularity of the mass shell. The method introduced in this paper works under very general conditions and relies only on rotation invariance of the mass shell, non-degeneracy of ground states and the HVZ theorem.</description><subject>Classical and Quantum Gravitation</subject><subject>Dynamical Systems and Ergodic Theory</subject><subject>Elementary Particles</subject><subject>Ground state</subject><subject>Invariants</subject><subject>Mathematical and Computational Physics</subject><subject>Mathematical Methods in Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Relativity Theory</subject><subject>Theoretical</subject><issn>1424-0637</issn><issn>1424-0661</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp9kM1OwzAQhC0EEqXwApwscQ6sfxInx6qCUtHCgXK2nMSBVMEpXgepb49LENw47Uo7Mzv6CLlkcM0A1A0CABcJcEgACp4n-yMyYZLLBLKMHf_uQp2SM8QtAOO5KCbkYVaidZWlfUMXvh9cTZ-DCRZp62h4s3TjjcPOhLZ3dOk-jW-NC3RtEDuLSB9th_Gy7mvbnZOTxnRoL37mlLzc3W7m98nqabGcz1ZJJfI0JMaaNM2gKcqyrnnsUdq0UQ1IqLkteCFYKo2Cw5BKsdIcqlYyqyoh6loqMSVXY-7O9x-DxaC3_eBdfKm55FnOmIowpoSPqsr3iN42eufbd-P3moE-QNMjNB2h6W9oeh9NYjRhFLtX6_-i_3F9AeRJbrM</recordid><startdate>20200801</startdate><enddate>20200801</enddate><creator>Dam, Thomas Norman</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0003-4481-8421</orcidid></search><sort><creationdate>20200801</creationdate><title>Absence of Ground States in the Translation Invariant Massless Nelson Model</title><author>Dam, Thomas Norman</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c385t-aea5560f9bbdd2128be5f7f040d2e9293154a7031544771ba1283c46cc33dd473</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Classical and Quantum Gravitation</topic><topic>Dynamical Systems and Ergodic Theory</topic><topic>Elementary Particles</topic><topic>Ground state</topic><topic>Invariants</topic><topic>Mathematical and Computational Physics</topic><topic>Mathematical Methods in Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Relativity Theory</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Dam, Thomas Norman</creatorcontrib><collection>CrossRef</collection><jtitle>Annales Henri Poincaré</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Dam, Thomas Norman</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Absence of Ground States in the Translation Invariant Massless Nelson Model</atitle><jtitle>Annales Henri Poincaré</jtitle><stitle>Ann. Henri Poincaré</stitle><date>2020-08-01</date><risdate>2020</risdate><volume>21</volume><issue>8</issue><spage>2655</spage><epage>2679</epage><pages>2655-2679</pages><issn>1424-0637</issn><eissn>1424-0661</eissn><abstract>In this paper, the translation invariant massless Nelson model with ultraviolet cutoff is investigated. It is proven that the fiber operators does not have a ground state if the interaction is not infrared regular. Similar results have been obtained by other authors under severe assumptions on the regularity of the mass shell. The method introduced in this paper works under very general conditions and relies only on rotation invariance of the mass shell, non-degeneracy of ground states and the HVZ theorem.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s00023-020-00928-y</doi><tpages>25</tpages><orcidid>https://orcid.org/0000-0003-4481-8421</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1424-0637 |
| ispartof | Annales Henri Poincaré, 2020-08, Vol.21 (8), p.2655-2679 |
| issn | 1424-0637 1424-0661 |
| language | eng |
| recordid | cdi_proquest_journals_2426811702 |
| source | SpringerNature Journals |
| subjects | Classical and Quantum Gravitation Dynamical Systems and Ergodic Theory Elementary Particles Ground state Invariants Mathematical and Computational Physics Mathematical Methods in Physics Physics Physics and Astronomy Quantum Field Theory Quantum Physics Relativity Theory Theoretical |
| title | Absence of Ground States in the Translation Invariant Massless Nelson Model |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-22T05%3A11%3A30IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Absence%20of%20Ground%20States%20in%20the%20Translation%20Invariant%20Massless%20Nelson%20Model&rft.jtitle=Annales%20Henri%20Poincar%C3%A9&rft.au=Dam,%20Thomas%20Norman&rft.date=2020-08-01&rft.volume=21&rft.issue=8&rft.spage=2655&rft.epage=2679&rft.pages=2655-2679&rft.issn=1424-0637&rft.eissn=1424-0661&rft_id=info:doi/10.1007/s00023-020-00928-y&rft_dat=%3Cproquest_cross%3E2426811702%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2426811702&rft_id=info:pmid/&rfr_iscdi=true |