Self-force via energy–momentum and angular momentum balance equations
The radiation reaction for a pointlike charge coupled to a massive scalar field is considered. The retarded Green's function associated with the Klein–Gordon wave equation has support not only on the future light cone of the emission point (direct part) but extends inside the light cone as well...
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Veröffentlicht in: | Journal of mathematical physics 2011-01, Vol.52 (1), p.012906-012906-20 |
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description | The radiation reaction for a pointlike charge coupled to a massive scalar field is considered. The retarded Green's function associated with the Klein–Gordon wave equation has support not only on the future light cone of the emission point (direct part) but extends inside the light cone as well (tail part). Dirac's scheme of decomposition of the retarded electromagnetic field into the “mean of the advanced and retarded field” and the “radiation” field is adapted to theories where Green's function consists of the direct and the tail parts. The Harish-Chandra equation of motion of radiating scalar charge under the influence of an external force is obtained. This equation includes effect of particle's own field. The self-force produces a time-changing inertial mass. |
doi_str_mv | 10.1063/1.3531986 |
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The retarded Green's function associated with the Klein–Gordon wave equation has support not only on the future light cone of the emission point (direct part) but extends inside the light cone as well (tail part). Dirac's scheme of decomposition of the retarded electromagnetic field into the “mean of the advanced and retarded field” and the “radiation” field is adapted to theories where Green's function consists of the direct and the tail parts. The Harish-Chandra equation of motion of radiating scalar charge under the influence of an external force is obtained. This equation includes effect of particle's own field. The self-force produces a time-changing inertial mass.</description><identifier>ISSN: 0022-2488</identifier><identifier>EISSN: 1089-7658</identifier><identifier>DOI: 10.1063/1.3531986</identifier><identifier>CODEN: JMAPAQ</identifier><language>eng</language><publisher>Melville, NY: American Institute of Physics</publisher><subject>ANGULAR MOMENTUM ; AXIOMATIC FIELD THEORY ; DIFFERENTIAL EQUATIONS ; DIRAC EQUATION ; ELECTROMAGNETIC FIELDS ; Electromagnetism ; EQUATIONS ; EQUATIONS OF MOTION ; Exact sciences and technology ; FIELD EQUATIONS ; FIELD THEORIES ; FUNCTIONS ; GREEN FUNCTION ; KLEIN-GORDON EQUATION ; LIGHT CONE ; Mathematical functions ; MATHEMATICAL METHODS AND COMPUTING ; Mathematical methods in physics ; Mathematics ; PARTIAL DIFFERENTIAL EQUATIONS ; Physics ; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ; QUANTUM FIELD THEORY ; Radiation ; SCALAR FIELDS ; Sciences and techniques of general use ; SPACE-TIME ; Theoretical physics ; WAVE EQUATIONS</subject><ispartof>Journal of mathematical physics, 2011-01, Vol.52 (1), p.012906-012906-20</ispartof><rights>American Institute of Physics</rights><rights>2011 American Institute of Physics</rights><rights>2015 INIST-CNRS</rights><rights>Copyright American Institute of Physics Jan 2011</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c439t-ae0552aef5bb0fdbb8976cca18c2a7e33f3f99c0c307b488b84e4fa9b2248f063</citedby><cites>FETCH-LOGICAL-c439t-ae0552aef5bb0fdbb8976cca18c2a7e33f3f99c0c307b488b84e4fa9b2248f063</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://pubs.aip.org/jmp/article-lookup/doi/10.1063/1.3531986$$EHTML$$P50$$Gscitation$$H</linktohtml><link.rule.ids>230,314,780,784,794,885,1559,4512,27924,27925,76384,76390</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=23855009$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://www.osti.gov/biblio/21501247$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Yaremko, Yurij</creatorcontrib><title>Self-force via energy–momentum and angular momentum balance equations</title><title>Journal of mathematical physics</title><description>The radiation reaction for a pointlike charge coupled to a massive scalar field is considered. The retarded Green's function associated with the Klein–Gordon wave equation has support not only on the future light cone of the emission point (direct part) but extends inside the light cone as well (tail part). Dirac's scheme of decomposition of the retarded electromagnetic field into the “mean of the advanced and retarded field” and the “radiation” field is adapted to theories where Green's function consists of the direct and the tail parts. The Harish-Chandra equation of motion of radiating scalar charge under the influence of an external force is obtained. This equation includes effect of particle's own field. The self-force produces a time-changing inertial mass.</description><subject>ANGULAR MOMENTUM</subject><subject>AXIOMATIC FIELD THEORY</subject><subject>DIFFERENTIAL EQUATIONS</subject><subject>DIRAC EQUATION</subject><subject>ELECTROMAGNETIC FIELDS</subject><subject>Electromagnetism</subject><subject>EQUATIONS</subject><subject>EQUATIONS OF MOTION</subject><subject>Exact sciences and technology</subject><subject>FIELD EQUATIONS</subject><subject>FIELD THEORIES</subject><subject>FUNCTIONS</subject><subject>GREEN FUNCTION</subject><subject>KLEIN-GORDON EQUATION</subject><subject>LIGHT CONE</subject><subject>Mathematical functions</subject><subject>MATHEMATICAL METHODS AND COMPUTING</subject><subject>Mathematical methods in physics</subject><subject>Mathematics</subject><subject>PARTIAL DIFFERENTIAL EQUATIONS</subject><subject>Physics</subject><subject>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</subject><subject>QUANTUM FIELD THEORY</subject><subject>Radiation</subject><subject>SCALAR FIELDS</subject><subject>Sciences and techniques of general use</subject><subject>SPACE-TIME</subject><subject>Theoretical physics</subject><subject>WAVE EQUATIONS</subject><issn>0022-2488</issn><issn>1089-7658</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNp9kE9LwzAYh4MoOKcHv0FRPCh05k_TJhdBhk5h4EE9hzRLZkfbbEk72M3v4Df0k5itYx5kHsIL4Xl__N4HgHMEBwim5BYNCCWIs_QA9BBkPM5Syg5BD0KMY5wwdgxOvJ9BiBBLkh4YverSxMY6paNlISNdazddfX9-VbbSddNWkawn4U3bUrpo95nLUtZhRS9a2RS29qfgyMjS67Pt7IP3x4e34VM8fhk9D-_HsUoIb2KpIaVYakPzHJpJnjOepUpJxBSWmSbEEMO5gorALA9tc5boxEie49DdhAP74LLLtb4phFdFo9WHsnWtVSMwohDhJAvURUfNnV202jdiZltXh2KCUZQxliIaoOsOUs5677QRc1dU0q0EgmItUyCxlRnYq22g9EqWxoXrC79bwIRRCiEP3F3HrZttzOwPXZsXG_MimBcb8yHgZl_A0rrfZTGfmP_gvyf8AJ4_pc0</recordid><startdate>20110101</startdate><enddate>20110101</enddate><creator>Yaremko, Yurij</creator><general>American Institute of Physics</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>JQ2</scope><scope>L7M</scope><scope>OTOTI</scope></search><sort><creationdate>20110101</creationdate><title>Self-force via energy–momentum and angular momentum balance equations</title><author>Yaremko, Yurij</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c439t-ae0552aef5bb0fdbb8976cca18c2a7e33f3f99c0c307b488b84e4fa9b2248f063</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>ANGULAR MOMENTUM</topic><topic>AXIOMATIC FIELD THEORY</topic><topic>DIFFERENTIAL EQUATIONS</topic><topic>DIRAC EQUATION</topic><topic>ELECTROMAGNETIC FIELDS</topic><topic>Electromagnetism</topic><topic>EQUATIONS</topic><topic>EQUATIONS OF MOTION</topic><topic>Exact sciences and technology</topic><topic>FIELD EQUATIONS</topic><topic>FIELD THEORIES</topic><topic>FUNCTIONS</topic><topic>GREEN FUNCTION</topic><topic>KLEIN-GORDON EQUATION</topic><topic>LIGHT CONE</topic><topic>Mathematical functions</topic><topic>MATHEMATICAL METHODS AND COMPUTING</topic><topic>Mathematical methods in physics</topic><topic>Mathematics</topic><topic>PARTIAL DIFFERENTIAL EQUATIONS</topic><topic>Physics</topic><topic>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</topic><topic>QUANTUM FIELD THEORY</topic><topic>Radiation</topic><topic>SCALAR FIELDS</topic><topic>Sciences and techniques of general use</topic><topic>SPACE-TIME</topic><topic>Theoretical physics</topic><topic>WAVE EQUATIONS</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Yaremko, Yurij</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>OSTI.GOV</collection><jtitle>Journal of mathematical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Yaremko, Yurij</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Self-force via energy–momentum and angular momentum balance equations</atitle><jtitle>Journal of mathematical physics</jtitle><date>2011-01-01</date><risdate>2011</risdate><volume>52</volume><issue>1</issue><spage>012906</spage><epage>012906-20</epage><pages>012906-012906-20</pages><issn>0022-2488</issn><eissn>1089-7658</eissn><coden>JMAPAQ</coden><abstract>The radiation reaction for a pointlike charge coupled to a massive scalar field is considered. The retarded Green's function associated with the Klein–Gordon wave equation has support not only on the future light cone of the emission point (direct part) but extends inside the light cone as well (tail part). Dirac's scheme of decomposition of the retarded electromagnetic field into the “mean of the advanced and retarded field” and the “radiation” field is adapted to theories where Green's function consists of the direct and the tail parts. The Harish-Chandra equation of motion of radiating scalar charge under the influence of an external force is obtained. This equation includes effect of particle's own field. The self-force produces a time-changing inertial mass.</abstract><cop>Melville, NY</cop><pub>American Institute of Physics</pub><doi>10.1063/1.3531986</doi><tpages>20</tpages></addata></record> |
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subjects | ANGULAR MOMENTUM AXIOMATIC FIELD THEORY DIFFERENTIAL EQUATIONS DIRAC EQUATION ELECTROMAGNETIC FIELDS Electromagnetism EQUATIONS EQUATIONS OF MOTION Exact sciences and technology FIELD EQUATIONS FIELD THEORIES FUNCTIONS GREEN FUNCTION KLEIN-GORDON EQUATION LIGHT CONE Mathematical functions MATHEMATICAL METHODS AND COMPUTING Mathematical methods in physics Mathematics PARTIAL DIFFERENTIAL EQUATIONS Physics PHYSICS OF ELEMENTARY PARTICLES AND FIELDS QUANTUM FIELD THEORY Radiation SCALAR FIELDS Sciences and techniques of general use SPACE-TIME Theoretical physics WAVE EQUATIONS |
title | Self-force via energy–momentum and angular momentum balance equations |
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