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The emergence of superconducting systems in Anti-de Sitter space
A bstract In this article, we investigate the mathematical relationship between a (3+1) dimensional gravity model inside Anti-de Sitter space AdS 4 , and a (2+1) dimensional superconducting system on the asymptotically flat boundary of AdS 4 (in the absence of gravity). We consider a simple case of...
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| Published in: | The journal of high energy physics 2016-10, Vol.2016 (10), p.1-14, Article 17 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
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| container_end_page | 14 |
| container_issue | 10 |
| container_start_page | 1 |
| container_title | The journal of high energy physics |
| container_volume | 2016 |
| creator | Wu, W.M. Pierpoint, M.P. Forrester, D.M. Kusmartsev, F.V. |
| description | A
bstract
In this article, we investigate the mathematical relationship between a (3+1) dimensional gravity model inside Anti-de Sitter space AdS
4
, and a (2+1) dimensional superconducting system on the asymptotically flat boundary of AdS
4
(in the absence of gravity). We consider a simple case of the Type II superconducting model (in terms of Ginzburg-Landau theory) with an external perpendicular magnetic field
H
. An interaction potential
V
(
r, ψ
) =
α
(
T
)|
ψ
|
2
/r
2
+
χ
|
ψ
|
2
/L
2
+
β
|
ψ
|
4
/
(2
r
k
) is introduced within the Lagrangian system. This provides more flexibility within the model, when the superconducting system is close to the transition temperature
T
c
. Overall, our result demonstrates that the Ginzburg-Landau differential equations can be directly deduced from Einstein’s theory of general relativity. |
| doi_str_mv | 10.1007/JHEP10(2016)017 |
| format | article |
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bstract
In this article, we investigate the mathematical relationship between a (3+1) dimensional gravity model inside Anti-de Sitter space AdS
4
, and a (2+1) dimensional superconducting system on the asymptotically flat boundary of AdS
4
(in the absence of gravity). We consider a simple case of the Type II superconducting model (in terms of Ginzburg-Landau theory) with an external perpendicular magnetic field
H
. An interaction potential
V
(
r, ψ
) =
α
(
T
)|
ψ
|
2
/r
2
+
χ
|
ψ
|
2
/L
2
+
β
|
ψ
|
4
/
(2
r
k
) is introduced within the Lagrangian system. This provides more flexibility within the model, when the superconducting system is close to the transition temperature
T
c
. Overall, our result demonstrates that the Ginzburg-Landau differential equations can be directly deduced from Einstein’s theory of general relativity.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP10(2016)017</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Asymptotic properties ; Boundaries ; Classical and Quantum Gravitation ; Differential equations ; Elementary Particles ; Flexibility ; Gravitation ; High energy physics ; Mathematical models ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; String Theory ; Superconductivity ; Transition temperature</subject><ispartof>The journal of high energy physics, 2016-10, Vol.2016 (10), p.1-14, Article 17</ispartof><rights>The Author(s) 2016</rights><rights>SISSA, Trieste, Italy 2016</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c338t-5ba1d5bfb60cc5b2689f68e1c4a9452d496279853bea75b9083d4622b65f86d03</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/1826416359/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/1826416359?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,25753,27924,27925,37012,37013,44590,75126</link.rule.ids></links><search><creatorcontrib>Wu, W.M.</creatorcontrib><creatorcontrib>Pierpoint, M.P.</creatorcontrib><creatorcontrib>Forrester, D.M.</creatorcontrib><creatorcontrib>Kusmartsev, F.V.</creatorcontrib><title>The emergence of superconducting systems in Anti-de Sitter space</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
In this article, we investigate the mathematical relationship between a (3+1) dimensional gravity model inside Anti-de Sitter space AdS
4
, and a (2+1) dimensional superconducting system on the asymptotically flat boundary of AdS
4
(in the absence of gravity). We consider a simple case of the Type II superconducting model (in terms of Ginzburg-Landau theory) with an external perpendicular magnetic field
H
. An interaction potential
V
(
r, ψ
) =
α
(
T
)|
ψ
|
2
/r
2
+
χ
|
ψ
|
2
/L
2
+
β
|
ψ
|
4
/
(2
r
k
) is introduced within the Lagrangian system. This provides more flexibility within the model, when the superconducting system is close to the transition temperature
T
c
. Overall, our result demonstrates that the Ginzburg-Landau differential equations can be directly deduced from Einstein’s theory of general relativity.</description><subject>Asymptotic properties</subject><subject>Boundaries</subject><subject>Classical and Quantum Gravitation</subject><subject>Differential equations</subject><subject>Elementary Particles</subject><subject>Flexibility</subject><subject>Gravitation</subject><subject>High energy physics</subject><subject>Mathematical models</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><subject>Superconductivity</subject><subject>Transition temperature</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><recordid>eNp1kMFLwzAUxoMoOKdnrwEv81D3kjZpcnOM6ZSBgvMc2vR1dqzpTNrD_ns76mEInt53-H0fjx8htwweGEA6fV0u3hlMODB5Dyw9IyMGXEcqSfX5Sb4kVyFsAZhgGkbkcf2FFGv0G3QWaVPS0O3R28YVnW0rt6HhEFqsA60cnbm2igqkH1Xboqdhn1m8Jhdltgt483vH5PNpsZ4vo9Xb88t8topsHKs2EnnGCpGXuQRrRc6l0qVUyGyS6UTwItGSp1qJOMcsFbkGFReJ5DyXolSygHhMJsPu3jffHYbW1FWwuNtlDpsuGKYSoUDIVPfo3R9023Te9d_1FJcJk7E4UtOBsr4JwWNp9r6qM38wDMzRqBmMmqNR0xvtGzA0Qk-6DfqT3X8qP5w1dl8</recordid><startdate>20161001</startdate><enddate>20161001</enddate><creator>Wu, W.M.</creator><creator>Pierpoint, M.P.</creator><creator>Forrester, D.M.</creator><creator>Kusmartsev, F.V.</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><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20161001</creationdate><title>The emergence of superconducting systems in Anti-de Sitter space</title><author>Wu, W.M. ; Pierpoint, M.P. ; Forrester, D.M. ; Kusmartsev, F.V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c338t-5ba1d5bfb60cc5b2689f68e1c4a9452d496279853bea75b9083d4622b65f86d03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Asymptotic properties</topic><topic>Boundaries</topic><topic>Classical and Quantum Gravitation</topic><topic>Differential equations</topic><topic>Elementary Particles</topic><topic>Flexibility</topic><topic>Gravitation</topic><topic>High energy physics</topic><topic>Mathematical models</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><topic>Superconductivity</topic><topic>Transition temperature</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wu, W.M.</creatorcontrib><creatorcontrib>Pierpoint, M.P.</creatorcontrib><creatorcontrib>Forrester, D.M.</creatorcontrib><creatorcontrib>Kusmartsev, F.V.</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)</collection><collection>ProQuest Central</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>AUTh Library subscriptions: ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection</collection><collection>ProQuest advanced technologies & aerospace journals</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><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wu, W.M.</au><au>Pierpoint, M.P.</au><au>Forrester, D.M.</au><au>Kusmartsev, F.V.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The emergence of superconducting systems in Anti-de Sitter space</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2016-10-01</date><risdate>2016</risdate><volume>2016</volume><issue>10</issue><spage>1</spage><epage>14</epage><pages>1-14</pages><artnum>17</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>A
bstract
In this article, we investigate the mathematical relationship between a (3+1) dimensional gravity model inside Anti-de Sitter space AdS
4
, and a (2+1) dimensional superconducting system on the asymptotically flat boundary of AdS
4
(in the absence of gravity). We consider a simple case of the Type II superconducting model (in terms of Ginzburg-Landau theory) with an external perpendicular magnetic field
H
. An interaction potential
V
(
r, ψ
) =
α
(
T
)|
ψ
|
2
/r
2
+
χ
|
ψ
|
2
/L
2
+
β
|
ψ
|
4
/
(2
r
k
) is introduced within the Lagrangian system. This provides more flexibility within the model, when the superconducting system is close to the transition temperature
T
c
. Overall, our result demonstrates that the Ginzburg-Landau differential equations can be directly deduced from Einstein’s theory of general relativity.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP10(2016)017</doi><tpages>14</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1029-8479 |
| ispartof | The journal of high energy physics, 2016-10, Vol.2016 (10), p.1-14, Article 17 |
| issn | 1029-8479 1029-8479 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1845805679 |
| source | Publicly Available Content Database; Springer Nature - SpringerLink Journals - Fully Open Access |
| subjects | Asymptotic properties Boundaries Classical and Quantum Gravitation Differential equations Elementary Particles Flexibility Gravitation High energy physics Mathematical models Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory String Theory Superconductivity Transition temperature |
| title | The emergence of superconducting systems in Anti-de Sitter space |
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