Quantum field corrections to the equation of state of freely streaming matter in the Friedman–Lemaître–Robertson–Walker space-time
We calculate the energy density and pressure of a scalar field after its decoupling from a thermal bath in the spatially flat Friedman–Lemaître–Robertson–Walker space-time, within the framework of quantum statistical mechanics. By using the density operator determined by the condition of local therm...
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Veröffentlicht in: | Classical and quantum gravity 2023-09, Vol.40 (17), p.175007 |
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description | We calculate the energy density and pressure of a scalar field after its decoupling from a thermal bath in the spatially flat Friedman–Lemaître–Robertson–Walker space-time, within the framework of quantum statistical mechanics. By using the density operator determined by the condition of local thermodynamic equilibrium, we calculate the mean value of the stress-energy tensor of a real scalar field by subtracting the vacuum expectation value at the time of the decoupling. The obtained expressions of energy density and pressure involve corrections with respect to the classical free-streaming solution of the relativistic Boltzmann equation, which may become relevant even at long times. |
doi_str_mv | 10.1088/1361-6382/ace495 |
format | Article |
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By using the density operator determined by the condition of local thermodynamic equilibrium, we calculate the mean value of the stress-energy tensor of a real scalar field by subtracting the vacuum expectation value at the time of the decoupling. The obtained expressions of energy density and pressure involve corrections with respect to the classical free-streaming solution of the relativistic Boltzmann equation, which may become relevant even at long times.</description><identifier>ISSN: 0264-9381</identifier><identifier>EISSN: 1361-6382</identifier><identifier>DOI: 10.1088/1361-6382/ace495</identifier><identifier>CODEN: CQGRDG</identifier><language>eng</language><publisher>IOP Publishing</publisher><subject>cosmological metric ; quantum fields in curved spacetime ; quantum relativistic statistical mechanics ; thermal expectation values</subject><ispartof>Classical and quantum gravity, 2023-09, Vol.40 (17), p.175007</ispartof><rights>2023 The Author(s). 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Quantum Grav</addtitle><description>We calculate the energy density and pressure of a scalar field after its decoupling from a thermal bath in the spatially flat Friedman–Lemaître–Robertson–Walker space-time, within the framework of quantum statistical mechanics. By using the density operator determined by the condition of local thermodynamic equilibrium, we calculate the mean value of the stress-energy tensor of a real scalar field by subtracting the vacuum expectation value at the time of the decoupling. The obtained expressions of energy density and pressure involve corrections with respect to the classical free-streaming solution of the relativistic Boltzmann equation, which may become relevant even at long times.</description><subject>cosmological metric</subject><subject>quantum fields in curved spacetime</subject><subject>quantum relativistic statistical mechanics</subject><subject>thermal expectation values</subject><issn>0264-9381</issn><issn>1361-6382</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>O3W</sourceid><recordid>eNp1kE1OwzAQhS0EEqWwZ-kDEOqf_DhLVFFAqoRAIJbRJBmDSxIX21l0x5Y19-AS3ISTkFDEjtXMPL03evoIOebslDOlZlymPEqlEjOoMM6THTL5k3bJhIk0jnKp-D458H7FGOeKiwl5u-mhC31LtcGmppV1DqtgbOdpsDQ8IcWXHkaBWk19gIDjoh1isxluh9Ca7pG2EAI6arqfzMIZrFvovl7fl9jC58fgG_ZbW6IL3o76AzTPQ8Cvh7pRMC0ekj0Njcej3zkl94vzu_lltLy-uJqfLaNKChEiKRMm6lxhLIFxjBWTkmnIMEOt41yUnGkBNVRVHZdaKWRlpiCVKDKZJXUsp4Rt_1bOeu9QF2tnWnCbgrNiRFmM3IqRW7FFOUROthFj18XK9q4bCv5v_wa6Jnwk</recordid><startdate>20230914</startdate><enddate>20230914</enddate><creator>Becattini, F</creator><creator>Roselli, D</creator><general>IOP Publishing</general><scope>O3W</scope><scope>TSCCA</scope><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0001-9956-9114</orcidid></search><sort><creationdate>20230914</creationdate><title>Quantum field corrections to the equation of state of freely streaming matter in the Friedman–Lemaître–Robertson–Walker space-time</title><author>Becattini, F ; Roselli, D</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c322t-33502d98e43a01e480330fa7e7eff492b10f2adaccd4bf88e0b78a63e27375d43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>cosmological metric</topic><topic>quantum fields in curved spacetime</topic><topic>quantum relativistic statistical mechanics</topic><topic>thermal expectation values</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Becattini, F</creatorcontrib><creatorcontrib>Roselli, D</creatorcontrib><collection>IOP Publishing Free Content</collection><collection>IOPscience (Open Access)</collection><collection>CrossRef</collection><jtitle>Classical and quantum gravity</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Becattini, F</au><au>Roselli, D</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Quantum field corrections to the equation of state of freely streaming matter in the Friedman–Lemaître–Robertson–Walker space-time</atitle><jtitle>Classical and quantum gravity</jtitle><stitle>CQG</stitle><addtitle>Class. Quantum Grav</addtitle><date>2023-09-14</date><risdate>2023</risdate><volume>40</volume><issue>17</issue><spage>175007</spage><pages>175007-</pages><issn>0264-9381</issn><eissn>1361-6382</eissn><coden>CQGRDG</coden><abstract>We calculate the energy density and pressure of a scalar field after its decoupling from a thermal bath in the spatially flat Friedman–Lemaître–Robertson–Walker space-time, within the framework of quantum statistical mechanics. By using the density operator determined by the condition of local thermodynamic equilibrium, we calculate the mean value of the stress-energy tensor of a real scalar field by subtracting the vacuum expectation value at the time of the decoupling. The obtained expressions of energy density and pressure involve corrections with respect to the classical free-streaming solution of the relativistic Boltzmann equation, which may become relevant even at long times.</abstract><pub>IOP Publishing</pub><doi>10.1088/1361-6382/ace495</doi><tpages>22</tpages><orcidid>https://orcid.org/0000-0001-9956-9114</orcidid><oa>free_for_read</oa></addata></record> |
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subjects | cosmological metric quantum fields in curved spacetime quantum relativistic statistical mechanics thermal expectation values |
title | Quantum field corrections to the equation of state of freely streaming matter in the Friedman–Lemaître–Robertson–Walker space-time |
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