Hagedorn temperature in holography: world-sheet and effective approaches
Abstract We provide general results on the Hagedorn temperature of planar, strongly coupled confining gauge theories holographically dual to type II superstring models on curved backgrounds with Ramond-Ramond and Kalb-Ramond fluxes and non-trivial dilaton. For exact backgrounds the Hagedorn temperat...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-09-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP09(2024)193 |
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| author | Francesco Bigazzi Tommaso Canneti Federico Castellani Aldo L. Cotrone Wolfgang Mück |
| author_facet | Francesco Bigazzi Tommaso Canneti Federico Castellani Aldo L. Cotrone Wolfgang Mück |
| author_sort | Francesco Bigazzi |
| collection | DOAJ |
| description | Abstract We provide general results on the Hagedorn temperature of planar, strongly coupled confining gauge theories holographically dual to type II superstring models on curved backgrounds with Ramond-Ramond and Kalb-Ramond fluxes and non-trivial dilaton. For exact backgrounds the Hagedorn temperature is determined up to next-to-next-to-next-to-leading order (NNNLO) in an expansion in α′; in all the other cases the results can be safely trusted up to NNLO. To reach these goals we exploit two complementary approaches. On the one hand, we perform an extrapolation to the Hagedorn regime of world-sheet results obtained from the semiclassical quantization of string configurations winding around the compact Euclidean time direction. En passant, we provide a detailed derivation of the fermionic part of the world-sheet spectrum, which is hard to find in the literature. On the other hand, we perturbatively solve the equations of motion for the thermal scalar field corresponding to the lightest mode of the winding string, which in flat space becomes tachyonic above the Hagedorn temperature. The interplay between different approaches is surely convenient, but we provide insights about a possible derivation of the whole NNLO correction to the Hagedorn temperature from a pure world-sheet perspective; furthermore, we determine the effective mass of the thermal scalar from the world-sheet in full generality. |
| format | Article |
| id | doaj-art-f4dac5be273241d09b29bcd3d125cb7f |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-f4dac5be273241d09b29bcd3d125cb7f2024-12-08T12:15:54ZengSpringerOpenJournal of High Energy Physics1029-84792024-09-012024915210.1007/JHEP09(2024)193Hagedorn temperature in holography: world-sheet and effective approachesFrancesco Bigazzi0Tommaso Canneti1Federico Castellani2Aldo L. Cotrone3Wolfgang Mück4Istituto Nazionale di Fisica Nucleare, Sezione di FirenzeIstituto Nazionale di Fisica Nucleare, Sezione di FirenzeIstituto Nazionale di Fisica Nucleare, Sezione di FirenzeIstituto Nazionale di Fisica Nucleare, Sezione di FirenzeDipartimento di Fisica “Ettore Pancini”, Università degli Studi di Napoli “Federico II”Abstract We provide general results on the Hagedorn temperature of planar, strongly coupled confining gauge theories holographically dual to type II superstring models on curved backgrounds with Ramond-Ramond and Kalb-Ramond fluxes and non-trivial dilaton. For exact backgrounds the Hagedorn temperature is determined up to next-to-next-to-next-to-leading order (NNNLO) in an expansion in α′; in all the other cases the results can be safely trusted up to NNLO. To reach these goals we exploit two complementary approaches. On the one hand, we perform an extrapolation to the Hagedorn regime of world-sheet results obtained from the semiclassical quantization of string configurations winding around the compact Euclidean time direction. En passant, we provide a detailed derivation of the fermionic part of the world-sheet spectrum, which is hard to find in the literature. On the other hand, we perturbatively solve the equations of motion for the thermal scalar field corresponding to the lightest mode of the winding string, which in flat space becomes tachyonic above the Hagedorn temperature. The interplay between different approaches is surely convenient, but we provide insights about a possible derivation of the whole NNLO correction to the Hagedorn temperature from a pure world-sheet perspective; furthermore, we determine the effective mass of the thermal scalar from the world-sheet in full generality.https://doi.org/10.1007/JHEP09(2024)193AdS-CFT CorrespondenceGauge-Gravity CorrespondenceD-Branes |
| spellingShingle | Francesco Bigazzi Tommaso Canneti Federico Castellani Aldo L. Cotrone Wolfgang Mück Hagedorn temperature in holography: world-sheet and effective approaches Journal of High Energy Physics AdS-CFT Correspondence Gauge-Gravity Correspondence D-Branes |
| title | Hagedorn temperature in holography: world-sheet and effective approaches |
| title_full | Hagedorn temperature in holography: world-sheet and effective approaches |
| title_fullStr | Hagedorn temperature in holography: world-sheet and effective approaches |
| title_full_unstemmed | Hagedorn temperature in holography: world-sheet and effective approaches |
| title_short | Hagedorn temperature in holography: world-sheet and effective approaches |
| title_sort | hagedorn temperature in holography world sheet and effective approaches |
| topic | AdS-CFT Correspondence Gauge-Gravity Correspondence D-Branes |
| url | https://doi.org/10.1007/JHEP09(2024)193 |
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