Cylinder quantum field theories at small coupling
Abstract We show that any 2D scalar field theory compactified on a cylinder and with a Fourier expandable potential V is equivalent, in the small coupling limit, to a 1D theory involving a massless particle in a potential V and an infinite tower of free massive Kaluza-Klein (KK) modes. Moving slight...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP10(2022)110 |
| _version_ | 1811249966842118144 |
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| author | Andrei Ioan Dogaru Ruben Campos Delgado |
| author_facet | Andrei Ioan Dogaru Ruben Campos Delgado |
| author_sort | Andrei Ioan Dogaru |
| collection | DOAJ |
| description | Abstract We show that any 2D scalar field theory compactified on a cylinder and with a Fourier expandable potential V is equivalent, in the small coupling limit, to a 1D theory involving a massless particle in a potential V and an infinite tower of free massive Kaluza-Klein (KK) modes. Moving slightly away from the deep IR region has the effect of switching on interactions between the zero mode and the KK modes, whose strength is controlled by powers of the coupling, hence making the interactions increasingly suppressed. We take the notable example of Liouville field theory and, starting from its worldline version, we compute the torus (one-loop) partition function perturbatively in the coupling constant. The partition function at leading order is invariant under a T-duality transformation that maps the radius of the cylinder to its inverse and rescales it by the square of the Schwinger parameter of the cylinder. We show that this behavior is a universal feature of cylinder QFTs. |
| first_indexed | 2024-04-12T15:55:44Z |
| format | Article |
| id | doaj.art-0c738dfa0e2e4d589ffa1a96a1642ce3 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T15:55:44Z |
| publishDate | 2022-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-0c738dfa0e2e4d589ffa1a96a1642ce32022-12-22T03:26:21ZengSpringerOpenJournal of High Energy Physics1029-84792022-10-0120221011710.1007/JHEP10(2022)110Cylinder quantum field theories at small couplingAndrei Ioan Dogaru0Ruben Campos Delgado1Faculty of Physics, University of BucharestBethe Center for Theoretical Physics and Physikalisches Institut der Universität BonnAbstract We show that any 2D scalar field theory compactified on a cylinder and with a Fourier expandable potential V is equivalent, in the small coupling limit, to a 1D theory involving a massless particle in a potential V and an infinite tower of free massive Kaluza-Klein (KK) modes. Moving slightly away from the deep IR region has the effect of switching on interactions between the zero mode and the KK modes, whose strength is controlled by powers of the coupling, hence making the interactions increasingly suppressed. We take the notable example of Liouville field theory and, starting from its worldline version, we compute the torus (one-loop) partition function perturbatively in the coupling constant. The partition function at leading order is invariant under a T-duality transformation that maps the radius of the cylinder to its inverse and rescales it by the square of the Schwinger parameter of the cylinder. We show that this behavior is a universal feature of cylinder QFTs.https://doi.org/10.1007/JHEP10(2022)1102D GravityField Theories in Lower Dimensions |
| spellingShingle | Andrei Ioan Dogaru Ruben Campos Delgado Cylinder quantum field theories at small coupling Journal of High Energy Physics 2D Gravity Field Theories in Lower Dimensions |
| title | Cylinder quantum field theories at small coupling |
| title_full | Cylinder quantum field theories at small coupling |
| title_fullStr | Cylinder quantum field theories at small coupling |
| title_full_unstemmed | Cylinder quantum field theories at small coupling |
| title_short | Cylinder quantum field theories at small coupling |
| title_sort | cylinder quantum field theories at small coupling |
| topic | 2D Gravity Field Theories in Lower Dimensions |
| url | https://doi.org/10.1007/JHEP10(2022)110 |
| work_keys_str_mv | AT andreiioandogaru cylinderquantumfieldtheoriesatsmallcoupling AT rubencamposdelgado cylinderquantumfieldtheoriesatsmallcoupling |