Improved concepts for the discussion of mutually interacting quantum fields in Robertson-Walker universes
We discuss quantum field theory of mutually interacting particles in given unquantized Robertson-Walker universes using an S-matrix approach. To improve this approach, we introduce the concepts of ''pair-including transition probability'' and ''specified mean number.�...
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| Veröffentlicht in: | Phys. Rev. D; (United States) 1987-04, Vol.35 (8), p.2365-2371 |
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| container_title | Phys. Rev. D; (United States) |
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| creator | AUDRETSCH, J SPANGEHL, P |
| description | We discuss quantum field theory of mutually interacting particles in given unquantized Robertson-Walker universes using an S-matrix approach. To improve this approach, we introduce the concepts of ''pair-including transition probability'' and ''specified mean number.'' Both are based on the specification of not only the in state but also the out state. Beyond that it is taken into account that every process is accompanied by gravitational pair production out of the space-time background. The corresponding expressions can be expressed by in-in amplitudes, so that Feynman diagram rules can be established. To demonstrate the advantage of the new concepts, we discuss for conformally coupled Klein-Gordon fields the Compton effect in the phi/sup 2/psi/sup 2/ model and demonstrate the effect of induced gravitational amplification in a direct and very transparent way. |
| doi_str_mv | 10.1103/PhysRevD.35.2365 |
| format | Article |
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To improve this approach, we introduce the concepts of ''pair-including transition probability'' and ''specified mean number.'' Both are based on the specification of not only the in state but also the out state. Beyond that it is taken into account that every process is accompanied by gravitational pair production out of the space-time background. The corresponding expressions can be expressed by in-in amplitudes, so that Feynman diagram rules can be established. To demonstrate the advantage of the new concepts, we discuss for conformally coupled Klein-Gordon fields the Compton effect in the phi/sup 2/psi/sup 2/ model and demonstrate the effect of induced gravitational amplification in a direct and very transparent way.</description><identifier>ISSN: 0556-2821</identifier><identifier>EISSN: 1089-4918</identifier><identifier>DOI: 10.1103/PhysRevD.35.2365</identifier><identifier>PMID: 9957936</identifier><identifier>CODEN: PRVDAQ</identifier><language>eng</language><publisher>Ridge, NY: American Physical Society</publisher><subject>645201 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory ; 645400 -- High Energy Physics-- Field Theory ; BASIC INTERACTIONS ; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ; COMPTON EFFECT ; COSMOLOGICAL MODELS ; DIAGRAMS ; DIFFERENTIAL EQUATIONS ; ELASTIC SCATTERING ; ELECTROMAGNETIC INTERACTIONS ; ELEMENTARY PARTICLES ; EQUATIONS ; Exact sciences and technology ; FEYNMAN DIAGRAM ; FIELD THEORIES ; General relativity and gravitation ; GRAVITATIONAL FIELDS ; INTERACTIONS ; KLEIN-GORDON EQUATION ; MASSLESS PARTICLES ; MATHEMATICAL MODELS ; MATRICES ; PAIR PRODUCTION ; PARTIAL DIFFERENTIAL EQUATIONS ; PARTICLE INTERACTIONS ; Physics ; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ; PROBABILITY ; QUANTUM FIELD THEORY ; Quantum gravity ; RENORMALIZATION ; S MATRIX ; SCATTERING ; SEMICLASSICAL APPROXIMATION ; SPACE-TIME ; UNIVERSE ; WAVE EQUATIONS 640106 -- Astrophysics & Cosmology-- Cosmology</subject><ispartof>Phys. 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D; (United States), 1987-04, Vol.35 (8), p.2365-2371</ispartof><rights>1987 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c352t-d9456b86cad4ddcc4241724ef521e18374cfe3ef9313ec3bee187acd989c73243</citedby><cites>FETCH-LOGICAL-c352t-d9456b86cad4ddcc4241724ef521e18374cfe3ef9313ec3bee187acd989c73243</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,881,2863,2864,27901,27902</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=8321041$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/9957936$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink><backlink>$$Uhttps://www.osti.gov/biblio/6597569$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>AUDRETSCH, J</creatorcontrib><creatorcontrib>SPANGEHL, P</creatorcontrib><creatorcontrib>Fakultat fuer Physik, Universitat Konstanz, Postfach 5560, D-7750 Konstanz, West Germany</creatorcontrib><title>Improved concepts for the discussion of mutually interacting quantum fields in Robertson-Walker universes</title><title>Phys. Rev. D; (United States)</title><addtitle>Phys Rev D Part Fields</addtitle><description>We discuss quantum field theory of mutually interacting particles in given unquantized Robertson-Walker universes using an S-matrix approach. To improve this approach, we introduce the concepts of ''pair-including transition probability'' and ''specified mean number.'' Both are based on the specification of not only the in state but also the out state. Beyond that it is taken into account that every process is accompanied by gravitational pair production out of the space-time background. The corresponding expressions can be expressed by in-in amplitudes, so that Feynman diagram rules can be established. To demonstrate the advantage of the new concepts, we discuss for conformally coupled Klein-Gordon fields the Compton effect in the phi/sup 2/psi/sup 2/ model and demonstrate the effect of induced gravitational amplification in a direct and very transparent way.</description><subject>645201 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory</subject><subject>645400 -- High Energy Physics-- Field Theory</subject><subject>BASIC INTERACTIONS</subject><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</subject><subject>COMPTON EFFECT</subject><subject>COSMOLOGICAL MODELS</subject><subject>DIAGRAMS</subject><subject>DIFFERENTIAL EQUATIONS</subject><subject>ELASTIC SCATTERING</subject><subject>ELECTROMAGNETIC INTERACTIONS</subject><subject>ELEMENTARY PARTICLES</subject><subject>EQUATIONS</subject><subject>Exact sciences and technology</subject><subject>FEYNMAN DIAGRAM</subject><subject>FIELD THEORIES</subject><subject>General relativity and gravitation</subject><subject>GRAVITATIONAL FIELDS</subject><subject>INTERACTIONS</subject><subject>KLEIN-GORDON EQUATION</subject><subject>MASSLESS PARTICLES</subject><subject>MATHEMATICAL MODELS</subject><subject>MATRICES</subject><subject>PAIR PRODUCTION</subject><subject>PARTIAL DIFFERENTIAL EQUATIONS</subject><subject>PARTICLE INTERACTIONS</subject><subject>Physics</subject><subject>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</subject><subject>PROBABILITY</subject><subject>QUANTUM FIELD THEORY</subject><subject>Quantum gravity</subject><subject>RENORMALIZATION</subject><subject>S MATRIX</subject><subject>SCATTERING</subject><subject>SEMICLASSICAL APPROXIMATION</subject><subject>SPACE-TIME</subject><subject>UNIVERSE</subject><subject>WAVE EQUATIONS 640106 -- Astrophysics & Cosmology-- Cosmology</subject><issn>0556-2821</issn><issn>1089-4918</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1987</creationdate><recordtype>article</recordtype><recordid>eNo9kc1r3DAQxUVpSLdp770UROmhF2-tL9s6lqQfgUBKaOhRaOVRV60tbTTywv73Udht5jIw7zcDbx4h71i7ZqwVn39uD3gH-6u1UGsuOvWCrFg76EZqNrwkq1apruEDZ6_Ia8S_bS3eiXNyrrXqtehWJFzPu5z2MFKXooNdQepTpmULdAzoFsSQIk2ezktZ7DQdaIgFsnUlxD_0YbGxLDP1AaYRq0Tv0gZywRSb33b6B5kuMewhI-AbcubthPD21C_I_bevvy5_NDe3368vv9w0TihemlFL1W2GztlRjqNzkkvWcwlecQZsEL10HgR4LZgAJzZQh711ox606wWX4oJ8ON5NWIJBFwq4bTUXwRXTKd2rTlfo0xGq5h8WwGLm6hamyUZICxo2KM05k0Nf0faIupwQM3izy2G2-WBYa55CMP9DMEKZpxDqyvvT9WUzw_i8cPp61T-edIvOTj7b6AI-Y4PgrJVMPALJ0JMH</recordid><startdate>19870415</startdate><enddate>19870415</enddate><creator>AUDRETSCH, J</creator><creator>SPANGEHL, P</creator><general>American Physical Society</general><scope>IQODW</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope><scope>OTOTI</scope></search><sort><creationdate>19870415</creationdate><title>Improved concepts for the discussion of mutually interacting quantum fields in Robertson-Walker universes</title><author>AUDRETSCH, J ; SPANGEHL, P</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c352t-d9456b86cad4ddcc4241724ef521e18374cfe3ef9313ec3bee187acd989c73243</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1987</creationdate><topic>645201 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory</topic><topic>645400 -- High Energy Physics-- Field Theory</topic><topic>BASIC INTERACTIONS</topic><topic>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</topic><topic>COMPTON EFFECT</topic><topic>COSMOLOGICAL MODELS</topic><topic>DIAGRAMS</topic><topic>DIFFERENTIAL EQUATIONS</topic><topic>ELASTIC SCATTERING</topic><topic>ELECTROMAGNETIC INTERACTIONS</topic><topic>ELEMENTARY PARTICLES</topic><topic>EQUATIONS</topic><topic>Exact sciences and technology</topic><topic>FEYNMAN DIAGRAM</topic><topic>FIELD THEORIES</topic><topic>General relativity and gravitation</topic><topic>GRAVITATIONAL FIELDS</topic><topic>INTERACTIONS</topic><topic>KLEIN-GORDON EQUATION</topic><topic>MASSLESS PARTICLES</topic><topic>MATHEMATICAL MODELS</topic><topic>MATRICES</topic><topic>PAIR PRODUCTION</topic><topic>PARTIAL DIFFERENTIAL EQUATIONS</topic><topic>PARTICLE INTERACTIONS</topic><topic>Physics</topic><topic>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</topic><topic>PROBABILITY</topic><topic>QUANTUM FIELD THEORY</topic><topic>Quantum gravity</topic><topic>RENORMALIZATION</topic><topic>S MATRIX</topic><topic>SCATTERING</topic><topic>SEMICLASSICAL APPROXIMATION</topic><topic>SPACE-TIME</topic><topic>UNIVERSE</topic><topic>WAVE EQUATIONS 640106 -- Astrophysics & Cosmology-- Cosmology</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>AUDRETSCH, J</creatorcontrib><creatorcontrib>SPANGEHL, P</creatorcontrib><creatorcontrib>Fakultat fuer Physik, Universitat Konstanz, Postfach 5560, D-7750 Konstanz, West Germany</creatorcontrib><collection>Pascal-Francis</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><collection>OSTI.GOV</collection><jtitle>Phys. Rev. D; (United States)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>AUDRETSCH, J</au><au>SPANGEHL, P</au><aucorp>Fakultat fuer Physik, Universitat Konstanz, Postfach 5560, D-7750 Konstanz, West Germany</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Improved concepts for the discussion of mutually interacting quantum fields in Robertson-Walker universes</atitle><jtitle>Phys. Rev. D; (United States)</jtitle><addtitle>Phys Rev D Part Fields</addtitle><date>1987-04-15</date><risdate>1987</risdate><volume>35</volume><issue>8</issue><spage>2365</spage><epage>2371</epage><pages>2365-2371</pages><issn>0556-2821</issn><eissn>1089-4918</eissn><coden>PRVDAQ</coden><abstract>We discuss quantum field theory of mutually interacting particles in given unquantized Robertson-Walker universes using an S-matrix approach. To improve this approach, we introduce the concepts of ''pair-including transition probability'' and ''specified mean number.'' Both are based on the specification of not only the in state but also the out state. Beyond that it is taken into account that every process is accompanied by gravitational pair production out of the space-time background. The corresponding expressions can be expressed by in-in amplitudes, so that Feynman diagram rules can be established. To demonstrate the advantage of the new concepts, we discuss for conformally coupled Klein-Gordon fields the Compton effect in the phi/sup 2/psi/sup 2/ model and demonstrate the effect of induced gravitational amplification in a direct and very transparent way.</abstract><cop>Ridge, NY</cop><pub>American Physical Society</pub><pmid>9957936</pmid><doi>10.1103/PhysRevD.35.2365</doi><tpages>7</tpages></addata></record> |
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| subjects | 645201 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory 645400 -- High Energy Physics-- Field Theory BASIC INTERACTIONS CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS COMPTON EFFECT COSMOLOGICAL MODELS DIAGRAMS DIFFERENTIAL EQUATIONS ELASTIC SCATTERING ELECTROMAGNETIC INTERACTIONS ELEMENTARY PARTICLES EQUATIONS Exact sciences and technology FEYNMAN DIAGRAM FIELD THEORIES General relativity and gravitation GRAVITATIONAL FIELDS INTERACTIONS KLEIN-GORDON EQUATION MASSLESS PARTICLES MATHEMATICAL MODELS MATRICES PAIR PRODUCTION PARTIAL DIFFERENTIAL EQUATIONS PARTICLE INTERACTIONS Physics PHYSICS OF ELEMENTARY PARTICLES AND FIELDS PROBABILITY QUANTUM FIELD THEORY Quantum gravity RENORMALIZATION S MATRIX SCATTERING SEMICLASSICAL APPROXIMATION SPACE-TIME UNIVERSE WAVE EQUATIONS 640106 -- Astrophysics & Cosmology-- Cosmology |
| title | Improved concepts for the discussion of mutually interacting quantum fields in Robertson-Walker universes |
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