Conjugate variables in quantum field theory and a refinement of Pauli’s theorem

For the case of spin zero, we construct conjugate pairs of operators on Fock space. On states multiplied by polarization vectors, coordinate operators Q conjugate to the momentum operators P exist. In the massive case the notion of interest is derived from a geometrical quantity, the massless case i...

Full description

Saved in:
Bibliographic Details
Published in:Physical review. D 2016-09, Vol.94 (6), Article 065008
Main Authors: Pottel, Steffen, Sibold, Klaus
Format: Article
Language:English
Subjects:
Conformal mapping
Conjugates
Field theory
Operators
Quantum field theory
Quantum theory
Wedges
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c275t-2f9d1ba1b726a402d70e2a690544af61cdf7157f94ffef390d40a98fc4ed68523
cites cdi_FETCH-LOGICAL-c275t-2f9d1ba1b726a402d70e2a690544af61cdf7157f94ffef390d40a98fc4ed68523
container_end_page
container_issue 6
container_start_page
container_title Physical review. D
container_volume 94
creator Pottel, Steffen
Sibold, Klaus
description For the case of spin zero, we construct conjugate pairs of operators on Fock space. On states multiplied by polarization vectors, coordinate operators Q conjugate to the momentum operators P exist. In the massive case the notion of interest is derived from a geometrical quantity, the massless case is realized by taking the limit m2→0 on the one hand, on the other, starting with m2=0 directly, from conformal transformations. The norm problem of the states on which the Q’s act is crucial: the states determine eventually how many independent conjugate pairs exist. It is intriguing that (light-) wedge variables and, hence, the wedge-local case seem to be preferred.
doi_str_mv 10.1103/PhysRevD.94.065008
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2116841688</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2116841688</sourcerecordid><originalsourceid>FETCH-LOGICAL-c275t-2f9d1ba1b726a402d70e2a690544af61cdf7157f94ffef390d40a98fc4ed68523</originalsourceid><addsrcrecordid>eNo9kE1OwzAQRi0EElXpBVhZYp0ydpw4XqLyKyFREKytaWzTVInT2kml7rgG1-MkBAVYjOZbPH0zeoScM5gzBunlcn2IL3Z_PVdiDnkGUByRCRcSEgCujv8zg1Myi3EDQ8xBScYm5HnR-k3_jp2lewwVrmobaeXprkff9Q11la0N7da2DQeK3lCkwbrK28b6jraOLrGvq6-PzzhCtjkjJw7raGe_e0rebm9eF_fJ49Pdw-LqMSm5zLqEO2XYCtlK8hwFcCPBcswVZEKgy1lpnGSZdEo4Z12qwAhAVbhSWJMXGU-n5GLs3YZ219vY6U3bBz-c1JyxvBDDFAPFR6oMbYzD63obqgbDQTPQP_b0nz2thB7tpd9tPWVP</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2116841688</pqid></control><display><type>article</type><title>Conjugate variables in quantum field theory and a refinement of Pauli’s theorem</title><source>American Physical Society:Jisc Collections:APS Read and Publish 2023-2025 (reading list)</source><creator>Pottel, Steffen ; Sibold, Klaus</creator><creatorcontrib>Pottel, Steffen ; Sibold, Klaus</creatorcontrib><description>For the case of spin zero, we construct conjugate pairs of operators on Fock space. On states multiplied by polarization vectors, coordinate operators Q conjugate to the momentum operators P exist. In the massive case the notion of interest is derived from a geometrical quantity, the massless case is realized by taking the limit m2→0 on the one hand, on the other, starting with m2=0 directly, from conformal transformations. The norm problem of the states on which the Q’s act is crucial: the states determine eventually how many independent conjugate pairs exist. It is intriguing that (light-) wedge variables and, hence, the wedge-local case seem to be preferred.</description><identifier>ISSN: 2470-0010</identifier><identifier>EISSN: 2470-0029</identifier><identifier>DOI: 10.1103/PhysRevD.94.065008</identifier><language>eng</language><publisher>College Park: American Physical Society</publisher><subject>Conformal mapping ; Conjugates ; Field theory ; Operators ; Quantum field theory ; Quantum theory ; Wedges</subject><ispartof>Physical review. D, 2016-09, Vol.94 (6), Article 065008</ispartof><rights>Copyright American Physical Society Sep 15, 2016</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c275t-2f9d1ba1b726a402d70e2a690544af61cdf7157f94ffef390d40a98fc4ed68523</citedby><cites>FETCH-LOGICAL-c275t-2f9d1ba1b726a402d70e2a690544af61cdf7157f94ffef390d40a98fc4ed68523</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Pottel, Steffen</creatorcontrib><creatorcontrib>Sibold, Klaus</creatorcontrib><title>Conjugate variables in quantum field theory and a refinement of Pauli’s theorem</title><title>Physical review. D</title><description>For the case of spin zero, we construct conjugate pairs of operators on Fock space. On states multiplied by polarization vectors, coordinate operators Q conjugate to the momentum operators P exist. In the massive case the notion of interest is derived from a geometrical quantity, the massless case is realized by taking the limit m2→0 on the one hand, on the other, starting with m2=0 directly, from conformal transformations. The norm problem of the states on which the Q’s act is crucial: the states determine eventually how many independent conjugate pairs exist. It is intriguing that (light-) wedge variables and, hence, the wedge-local case seem to be preferred.</description><subject>Conformal mapping</subject><subject>Conjugates</subject><subject>Field theory</subject><subject>Operators</subject><subject>Quantum field theory</subject><subject>Quantum theory</subject><subject>Wedges</subject><issn>2470-0010</issn><issn>2470-0029</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNo9kE1OwzAQRi0EElXpBVhZYp0ydpw4XqLyKyFREKytaWzTVInT2kml7rgG1-MkBAVYjOZbPH0zeoScM5gzBunlcn2IL3Z_PVdiDnkGUByRCRcSEgCujv8zg1Myi3EDQ8xBScYm5HnR-k3_jp2lewwVrmobaeXprkff9Q11la0N7da2DQeK3lCkwbrK28b6jraOLrGvq6-PzzhCtjkjJw7raGe_e0rebm9eF_fJ49Pdw-LqMSm5zLqEO2XYCtlK8hwFcCPBcswVZEKgy1lpnGSZdEo4Z12qwAhAVbhSWJMXGU-n5GLs3YZ219vY6U3bBz-c1JyxvBDDFAPFR6oMbYzD63obqgbDQTPQP_b0nz2thB7tpd9tPWVP</recordid><startdate>20160909</startdate><enddate>20160909</enddate><creator>Pottel, Steffen</creator><creator>Sibold, Klaus</creator><general>American Physical Society</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20160909</creationdate><title>Conjugate variables in quantum field theory and a refinement of Pauli’s theorem</title><author>Pottel, Steffen ; Sibold, Klaus</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c275t-2f9d1ba1b726a402d70e2a690544af61cdf7157f94ffef390d40a98fc4ed68523</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Conformal mapping</topic><topic>Conjugates</topic><topic>Field theory</topic><topic>Operators</topic><topic>Quantum field theory</topic><topic>Quantum theory</topic><topic>Wedges</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Pottel, Steffen</creatorcontrib><creatorcontrib>Sibold, Klaus</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Physical review. D</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Pottel, Steffen</au><au>Sibold, Klaus</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Conjugate variables in quantum field theory and a refinement of Pauli’s theorem</atitle><jtitle>Physical review. D</jtitle><date>2016-09-09</date><risdate>2016</risdate><volume>94</volume><issue>6</issue><artnum>065008</artnum><issn>2470-0010</issn><eissn>2470-0029</eissn><abstract>For the case of spin zero, we construct conjugate pairs of operators on Fock space. On states multiplied by polarization vectors, coordinate operators Q conjugate to the momentum operators P exist. In the massive case the notion of interest is derived from a geometrical quantity, the massless case is realized by taking the limit m2→0 on the one hand, on the other, starting with m2=0 directly, from conformal transformations. The norm problem of the states on which the Q’s act is crucial: the states determine eventually how many independent conjugate pairs exist. It is intriguing that (light-) wedge variables and, hence, the wedge-local case seem to be preferred.</abstract><cop>College Park</cop><pub>American Physical Society</pub><doi>10.1103/PhysRevD.94.065008</doi></addata></record>
fulltext fulltext
identifier ISSN: 2470-0010
ispartof Physical review. D, 2016-09, Vol.94 (6), Article 065008
issn 2470-0010
2470-0029
language eng
recordid cdi_proquest_journals_2116841688
source American Physical Society:Jisc Collections:APS Read and Publish 2023-2025 (reading list)
subjects Conformal mapping
Conjugates
Field theory
Operators
Quantum field theory
Quantum theory
Wedges
title Conjugate variables in quantum field theory and a refinement of Pauli’s theorem
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-01T00%3A47%3A12IST&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=Conjugate%20variables%20in%20quantum%20field%20theory%20and%20a%20refinement%20of%20Pauli%E2%80%99s%20theorem&rft.jtitle=Physical%20review.%20D&rft.au=Pottel,%20Steffen&rft.date=2016-09-09&rft.volume=94&rft.issue=6&rft.artnum=065008&rft.issn=2470-0010&rft.eissn=2470-0029&rft_id=info:doi/10.1103/PhysRevD.94.065008&rft_dat=%3Cproquest_cross%3E2116841688%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c275t-2f9d1ba1b726a402d70e2a690544af61cdf7157f94ffef390d40a98fc4ed68523%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2116841688&rft_id=info:pmid/&rfr_iscdi=true