Rationality of spectral action for Robertson-Walker metrics
A bstract We use pseudodifferential calculus and heat kernel techniques to prove a conjecture by Chamseddine and Connes on rationality of the coefficients of the polynomials in the cosmic scale factor a ( t ) and its higher derivatives, which describe the general terms a 2 n in the expansion of the...
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| Veröffentlicht in: | The journal of high energy physics 2014-12, Vol.2014 (12), p.1, Article 64 |
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| container_title | The journal of high energy physics |
| container_volume | 2014 |
| creator | Fathizadeh, Farzad Ghorbanpour, Asghar Khalkhali, Masoud |
| description | A
bstract
We use pseudodifferential calculus and heat kernel techniques to prove a conjecture by Chamseddine and Connes on rationality of the coefficients of the polynomials in the cosmic scale factor
a
(
t
) and its higher derivatives, which describe the general terms
a
2
n
in the expansion of the spectral action for general Robertson-Walker metrics. We also compute the terms up to
a
12
in the expansion of the spectral action by our method. As a byproduct, we verify that our computations agree with the terms up to
a
10
that were previously computed by Chamseddine and Connes by a different method. |
| doi_str_mv | 10.1007/JHEP12(2014)064 |
| format | Article |
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bstract
We use pseudodifferential calculus and heat kernel techniques to prove a conjecture by Chamseddine and Connes on rationality of the coefficients of the polynomials in the cosmic scale factor
a
(
t
) and its higher derivatives, which describe the general terms
a
2
n
in the expansion of the spectral action for general Robertson-Walker metrics. We also compute the terms up to
a
12
in the expansion of the spectral action by our method. As a byproduct, we verify that our computations agree with the terms up to
a
10
that were previously computed by Chamseddine and Connes by a different method.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP12(2014)064</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Classical and Quantum Gravitation ; Elementary Particles ; High energy physics ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; String Theory</subject><ispartof>The journal of high energy physics, 2014-12, Vol.2014 (12), p.1, Article 64</ispartof><rights>The Author(s) 2014</rights><rights>SISSA, Trieste, Italy 2014</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c351t-d95c4b8d8e665fcb1edb9e05531fd4b3c385fa15727309af9771ba62f2c5cf6c3</citedby><cites>FETCH-LOGICAL-c351t-d95c4b8d8e665fcb1edb9e05531fd4b3c385fa15727309af9771ba62f2c5cf6c3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/JHEP12(2014)064$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://doi.org/10.1007/JHEP12(2014)064$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,864,27923,27924,41119,42188,51575</link.rule.ids></links><search><creatorcontrib>Fathizadeh, Farzad</creatorcontrib><creatorcontrib>Ghorbanpour, Asghar</creatorcontrib><creatorcontrib>Khalkhali, Masoud</creatorcontrib><title>Rationality of spectral action for Robertson-Walker metrics</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
We use pseudodifferential calculus and heat kernel techniques to prove a conjecture by Chamseddine and Connes on rationality of the coefficients of the polynomials in the cosmic scale factor
a
(
t
) and its higher derivatives, which describe the general terms
a
2
n
in the expansion of the spectral action for general Robertson-Walker metrics. We also compute the terms up to
a
12
in the expansion of the spectral action by our method. As a byproduct, we verify that our computations agree with the terms up to
a
10
that were previously computed by Chamseddine and Connes by a different method.</description><subject>Classical and Quantum Gravitation</subject><subject>Elementary Particles</subject><subject>High energy physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Regular Article - Theoretical Physics</subject><subject>Relativity Theory</subject><subject>String Theory</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp1kEFLAzEQRoMoWKtnrwte9LB2JtlsNniSUq1SUIriMWSziWzdNjVJD_33blkPXjzNMLzvY3iEXCLcIoCYPM9nr0ivKWBxA2VxREYIVOZVIeTxn_2UnMW4AkCOEkbkbqlT6ze6a9M-8y6LW2tS0F2mzeGeOR-ypa9tSNFv8g_dfdmQrW0KrYnn5MTpLtqL3zkm7w-zt-k8X7w8Pk3vF7lhHFPeSG6KumoqW5bcmRptU0sLnDN0TVEzwyruNHJBBQOpnRQCa11SRw03rjRsTK6G3m3w3zsbk1r5Xeh_jgoFVEALhrynJgNlgo8xWKe2oV3rsFcI6mBIDYbUwZDqDfUJGBKxJzefNvzp_SfyA-S4aAs</recordid><startdate>20141209</startdate><enddate>20141209</enddate><creator>Fathizadeh, Farzad</creator><creator>Ghorbanpour, Asghar</creator><creator>Khalkhali, Masoud</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope></search><sort><creationdate>20141209</creationdate><title>Rationality of spectral action for Robertson-Walker metrics</title><author>Fathizadeh, Farzad ; Ghorbanpour, Asghar ; Khalkhali, Masoud</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c351t-d95c4b8d8e665fcb1edb9e05531fd4b3c385fa15727309af9771ba62f2c5cf6c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Classical and Quantum Gravitation</topic><topic>Elementary Particles</topic><topic>High energy physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Regular Article - Theoretical Physics</topic><topic>Relativity Theory</topic><topic>String Theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Fathizadeh, Farzad</creatorcontrib><creatorcontrib>Ghorbanpour, Asghar</creatorcontrib><creatorcontrib>Khalkhali, Masoud</creatorcontrib><collection>Springer Nature OA/Free Journals</collection><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Fathizadeh, Farzad</au><au>Ghorbanpour, Asghar</au><au>Khalkhali, Masoud</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Rationality of spectral action for Robertson-Walker metrics</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2014-12-09</date><risdate>2014</risdate><volume>2014</volume><issue>12</issue><spage>1</spage><pages>1-</pages><artnum>64</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>A
bstract
We use pseudodifferential calculus and heat kernel techniques to prove a conjecture by Chamseddine and Connes on rationality of the coefficients of the polynomials in the cosmic scale factor
a
(
t
) and its higher derivatives, which describe the general terms
a
2
n
in the expansion of the spectral action for general Robertson-Walker metrics. We also compute the terms up to
a
12
in the expansion of the spectral action by our method. As a byproduct, we verify that our computations agree with the terms up to
a
10
that were previously computed by Chamseddine and Connes by a different method.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP12(2014)064</doi><oa>free_for_read</oa></addata></record> |
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| ispartof | The journal of high energy physics, 2014-12, Vol.2014 (12), p.1, Article 64 |
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| language | eng |
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| source | DOAJ Directory of Open Access Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Alma/SFX Local Collection; Springer Nature OA/Free Journals |
| subjects | Classical and Quantum Gravitation Elementary Particles High energy physics Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory String Theory |
| title | Rationality of spectral action for Robertson-Walker metrics |
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