The graviton one-loop effective action in cosmological space–times with constant deceleration
We consider the quantum Friedmann equations which include one-loop vacuum fluctuations due to gravitons and scalar field matter in a FLRW background with constant ϵ = - H ˙ / H 2 . After several field redefinitions, to remove the mixing between the gravitational and matter degrees of freedom, we can...
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| Veröffentlicht in: | Annals of physics 2010-05, Vol.325 (5), p.948-968 |
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| creator | Janssen, T.M. Prokopec, T. |
| description | We consider the quantum Friedmann equations which include one-loop vacuum fluctuations due to gravitons and scalar field matter in a FLRW background with constant
ϵ
=
-
H
˙
/
H
2
. After several field redefinitions, to remove the mixing between the gravitational and matter degrees of freedom, we can construct the one-loop correction to the Friedmann equations. Due to cosmological particle creation, the propagators needed in such a calculation are typically infrared divergent. In this paper we construct the graviton and matter propagators, making use of the recent construction of the infrared finite scalar propagators calculated on a compact spatial manifold in Janssen et al. (2008)
[1]. The resulting correction to the Friedman equations is suppressed with respect to the tree level contribution by a factor of
H
2
/
m
p
2
and shows no secular growth. |
| doi_str_mv | 10.1016/j.aop.2009.09.003 |
| format | Article |
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ϵ
=
-
H
˙
/
H
2
. After several field redefinitions, to remove the mixing between the gravitational and matter degrees of freedom, we can construct the one-loop correction to the Friedmann equations. Due to cosmological particle creation, the propagators needed in such a calculation are typically infrared divergent. In this paper we construct the graviton and matter propagators, making use of the recent construction of the infrared finite scalar propagators calculated on a compact spatial manifold in Janssen et al. (2008)
[1]. The resulting correction to the Friedman equations is suppressed with respect to the tree level contribution by a factor of
H
2
/
m
p
2
and shows no secular growth.</description><identifier>ISSN: 0003-4916</identifier><identifier>EISSN: 1096-035X</identifier><identifier>DOI: 10.1016/j.aop.2009.09.003</identifier><identifier>CODEN: APNYA6</identifier><language>eng</language><publisher>New York: Elsevier Inc</publisher><subject>ACCELERATION ; ACTION INTEGRAL ; Back-reaction ; Construction ; CORRECTIONS ; COSMOLOGY ; Deceleration ; DEGREES OF FREEDOM ; EQUATIONS ; Fluctuation ; GRAVITONS ; Infrared ; Mathematical analysis ; MATTER ; Particle physics ; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ; PROPAGATOR ; Quantum fields on curved space–time ; QUANTUM GRAVITY ; Quantum physics ; SCALAR FIELDS ; Scalars ; SEMICLASSICAL APPROXIMATION ; Semiclassical quantum gravity ; SPACE-TIME</subject><ispartof>Annals of physics, 2010-05, Vol.325 (5), p.948-968</ispartof><rights>2009 Elsevier Inc.</rights><rights>Copyright © 2010 Elsevier B.V. All rights reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c384t-b8851e1f497758fc4bb589229a49e0171fb8fc58991c448717056a4c7731221b3</citedby><cites>FETCH-LOGICAL-c384t-b8851e1f497758fc4bb589229a49e0171fb8fc58991c448717056a4c7731221b3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.aop.2009.09.003$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>230,315,781,785,886,3551,27928,27929,45999</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/21336124$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Janssen, T.M.</creatorcontrib><creatorcontrib>Prokopec, T.</creatorcontrib><title>The graviton one-loop effective action in cosmological space–times with constant deceleration</title><title>Annals of physics</title><description>We consider the quantum Friedmann equations which include one-loop vacuum fluctuations due to gravitons and scalar field matter in a FLRW background with constant
ϵ
=
-
H
˙
/
H
2
. After several field redefinitions, to remove the mixing between the gravitational and matter degrees of freedom, we can construct the one-loop correction to the Friedmann equations. Due to cosmological particle creation, the propagators needed in such a calculation are typically infrared divergent. In this paper we construct the graviton and matter propagators, making use of the recent construction of the infrared finite scalar propagators calculated on a compact spatial manifold in Janssen et al. (2008)
[1]. The resulting correction to the Friedman equations is suppressed with respect to the tree level contribution by a factor of
H
2
/
m
p
2
and shows no secular growth.</description><subject>ACCELERATION</subject><subject>ACTION INTEGRAL</subject><subject>Back-reaction</subject><subject>Construction</subject><subject>CORRECTIONS</subject><subject>COSMOLOGY</subject><subject>Deceleration</subject><subject>DEGREES OF FREEDOM</subject><subject>EQUATIONS</subject><subject>Fluctuation</subject><subject>GRAVITONS</subject><subject>Infrared</subject><subject>Mathematical analysis</subject><subject>MATTER</subject><subject>Particle physics</subject><subject>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</subject><subject>PROPAGATOR</subject><subject>Quantum fields on curved space–time</subject><subject>QUANTUM GRAVITY</subject><subject>Quantum physics</subject><subject>SCALAR FIELDS</subject><subject>Scalars</subject><subject>SEMICLASSICAL APPROXIMATION</subject><subject>Semiclassical quantum gravity</subject><subject>SPACE-TIME</subject><issn>0003-4916</issn><issn>1096-035X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><recordid>eNp9UctqHDEQFMGGrNf5gNyG5ODTrNUjzUgiJ2OcBxhyscE3odH2eLXMShNJuyY3_4P_0F8SDeuTD4GGhuqqprqLkM9AV0Chu9yuTJhWDaVqNRdlH8gCqOpqytqHE7KgBaq5gu4jOUtpSykAb-WC6LsNVo_RHFwOvgoe6zGEqcJhQJvdAStTWpk4X9mQdmEMj86asUqTsfj6_JLdDlP15PKmzH3KxudqjRZHjGYWnpPTwYwJP731Jbn_fnN3_bO-_f3j1_XVbW2Z5LnupWwBYeBKiFYOlvd9K1XTKMMVUhAw9AUtkALLuRQgaNsZboVg0DTQsyX5etwbUnY6WZfRboojX87QDTDWQcML6-LImmL4s8eU9c6lYnY0HsM-adEywZUs9CX58o65DfvoywlaclU-3jBVSHAk2RhSijjoKbqdiX81UD3Hore6xKLnWPRcdF787ajB8o2DwzibRW9x7eLsdR3cf9T_ABNblUo</recordid><startdate>20100501</startdate><enddate>20100501</enddate><creator>Janssen, T.M.</creator><creator>Prokopec, T.</creator><general>Elsevier Inc</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope><scope>OTOTI</scope></search><sort><creationdate>20100501</creationdate><title>The graviton one-loop effective action in cosmological space–times with constant deceleration</title><author>Janssen, T.M. ; Prokopec, T.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c384t-b8851e1f497758fc4bb589229a49e0171fb8fc58991c448717056a4c7731221b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>ACCELERATION</topic><topic>ACTION INTEGRAL</topic><topic>Back-reaction</topic><topic>Construction</topic><topic>CORRECTIONS</topic><topic>COSMOLOGY</topic><topic>Deceleration</topic><topic>DEGREES OF FREEDOM</topic><topic>EQUATIONS</topic><topic>Fluctuation</topic><topic>GRAVITONS</topic><topic>Infrared</topic><topic>Mathematical analysis</topic><topic>MATTER</topic><topic>Particle physics</topic><topic>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</topic><topic>PROPAGATOR</topic><topic>Quantum fields on curved space–time</topic><topic>QUANTUM GRAVITY</topic><topic>Quantum physics</topic><topic>SCALAR FIELDS</topic><topic>Scalars</topic><topic>SEMICLASSICAL APPROXIMATION</topic><topic>Semiclassical quantum gravity</topic><topic>SPACE-TIME</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Janssen, T.M.</creatorcontrib><creatorcontrib>Prokopec, T.</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>OSTI.GOV</collection><jtitle>Annals of physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Janssen, T.M.</au><au>Prokopec, T.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The graviton one-loop effective action in cosmological space–times with constant deceleration</atitle><jtitle>Annals of physics</jtitle><date>2010-05-01</date><risdate>2010</risdate><volume>325</volume><issue>5</issue><spage>948</spage><epage>968</epage><pages>948-968</pages><issn>0003-4916</issn><eissn>1096-035X</eissn><coden>APNYA6</coden><abstract>We consider the quantum Friedmann equations which include one-loop vacuum fluctuations due to gravitons and scalar field matter in a FLRW background with constant
ϵ
=
-
H
˙
/
H
2
. After several field redefinitions, to remove the mixing between the gravitational and matter degrees of freedom, we can construct the one-loop correction to the Friedmann equations. Due to cosmological particle creation, the propagators needed in such a calculation are typically infrared divergent. In this paper we construct the graviton and matter propagators, making use of the recent construction of the infrared finite scalar propagators calculated on a compact spatial manifold in Janssen et al. (2008)
[1]. The resulting correction to the Friedman equations is suppressed with respect to the tree level contribution by a factor of
H
2
/
m
p
2
and shows no secular growth.</abstract><cop>New York</cop><pub>Elsevier Inc</pub><doi>10.1016/j.aop.2009.09.003</doi><tpages>21</tpages></addata></record> |
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| subjects | ACCELERATION ACTION INTEGRAL Back-reaction Construction CORRECTIONS COSMOLOGY Deceleration DEGREES OF FREEDOM EQUATIONS Fluctuation GRAVITONS Infrared Mathematical analysis MATTER Particle physics PHYSICS OF ELEMENTARY PARTICLES AND FIELDS PROPAGATOR Quantum fields on curved space–time QUANTUM GRAVITY Quantum physics SCALAR FIELDS Scalars SEMICLASSICAL APPROXIMATION Semiclassical quantum gravity SPACE-TIME |
| title | The graviton one-loop effective action in cosmological space–times with constant deceleration |
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