Star products made (somewhat) easier
We develop an approach to the deformation quantization on the real plane with an arbitrary Poisson structure which is based on Weyl symmetrically ordered operator products. By using a polydifferential representation for the deformed coordinates, , we are able to formulate a simple and effective iter...
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| Veröffentlicht in: | The European physical journal. C, Particles and fields Particles and fields, 2008-12, Vol.58 (4), p.627-637 |
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| container_title | The European physical journal. C, Particles and fields |
| container_volume | 58 |
| creator | Kupriyanov, V. G. Vassilevich, D. V. |
| description | We develop an approach to the deformation quantization on the real plane with an arbitrary Poisson structure which is based on Weyl symmetrically ordered operator products. By using a polydifferential representation for the deformed coordinates,
, we are able to formulate a simple and effective iterative procedure which allowed us to calculate the fourth-order star product (and may be extended to the fifth order at the expense of tedious but otherwise straightforward calculations). Modulo some cohomology issues which we do not consider here, the method gives an explicit and physics-friendly description of the star products. |
| doi_str_mv | 10.1140/epjc/s10052-008-0804-2 |
| format | Article |
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, we are able to formulate a simple and effective iterative procedure which allowed us to calculate the fourth-order star product (and may be extended to the fifth order at the expense of tedious but otherwise straightforward calculations). Modulo some cohomology issues which we do not consider here, the method gives an explicit and physics-friendly description of the star products.</description><identifier>ISSN: 1434-6044</identifier><identifier>EISSN: 1434-6052</identifier><identifier>DOI: 10.1140/epjc/s10052-008-0804-2</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer-Verlag</publisher><subject>Astronomy ; Astrophysics and Cosmology ; Deformation ; Elementary Particles ; Exact sciences and technology ; Hadrons ; Heavy Ions ; Homology ; Mathematical analysis ; Measurement Science and Instrumentation ; Nuclear Energy ; Nuclear Physics ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Regular Article - Theoretical Physics ; String Theory ; The physics of elementary particles and fields</subject><ispartof>The European physical journal. C, Particles and fields, 2008-12, Vol.58 (4), p.627-637</ispartof><rights>Springer-Verlag / Società Italiana di Fisica 2008</rights><rights>2009 INIST-CNRS</rights><rights>The European Physical Journal C is a copyright of Springer, (2008). All Rights Reserved.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c361t-76dd3c1d09501ec1539efe3ea88d5025d182da103617a98a7cb594c2da11624a3</citedby><cites>FETCH-LOGICAL-c361t-76dd3c1d09501ec1539efe3ea88d5025d182da103617a98a7cb594c2da11624a3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1140/epjc/s10052-008-0804-2$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://doi.org/10.1140/epjc/s10052-008-0804-2$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41096,41464,42165,42533,51294,51551</link.rule.ids><linktorsrc>$$Uhttps://doi.org/10.1140/epjc/s10052-008-0804-2$$EView_record_in_Springer_Nature$$FView_record_in_$$GSpringer_Nature</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=20994220$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Kupriyanov, V. G.</creatorcontrib><creatorcontrib>Vassilevich, D. V.</creatorcontrib><title>Star products made (somewhat) easier</title><title>The European physical journal. C, Particles and fields</title><addtitle>Eur. Phys. J. C</addtitle><description>We develop an approach to the deformation quantization on the real plane with an arbitrary Poisson structure which is based on Weyl symmetrically ordered operator products. By using a polydifferential representation for the deformed coordinates,
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| language | eng |
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| subjects | Astronomy Astrophysics and Cosmology Deformation Elementary Particles Exact sciences and technology Hadrons Heavy Ions Homology Mathematical analysis Measurement Science and Instrumentation Nuclear Energy Nuclear Physics Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Regular Article - Theoretical Physics String Theory The physics of elementary particles and fields |
| title | Star products made (somewhat) easier |
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