Confining strings in three-dimensional gauge theories beyond the Nambu-Gotō approximation
Abstract We carry out a systematic study of the effective bosonic string describing confining flux tubes in SU(N) Yang-Mills theories in three spacetime dimensions. While their low-energy properties are known to be universal and are described well by the Nambu-Gotō action, a non-trivial dependence o...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2024)198 |
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| _version_ | 1846158857196273664 |
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| author | Michele Caselle Nicodemo Magnoli Alessandro Nada Marco Panero Dario Panfalone Lorenzo Verzichelli |
| author_facet | Michele Caselle Nicodemo Magnoli Alessandro Nada Marco Panero Dario Panfalone Lorenzo Verzichelli |
| author_sort | Michele Caselle |
| collection | DOAJ |
| description | Abstract We carry out a systematic study of the effective bosonic string describing confining flux tubes in SU(N) Yang-Mills theories in three spacetime dimensions. While their low-energy properties are known to be universal and are described well by the Nambu-Gotō action, a non-trivial dependence on the gauge group is encoded in a series of undetermined subleading corrections in an expansion around the limit of an arbitrarily long string. We quantify the first two of these corrections by means of high-precision Monte Carlo simulations of Polyakov-loop correlators in the lattice regularization. We compare the results of novel lattice simulations for theories with N = 3 and 6 color charges, and report an improved estimate for the N = 2 case, discussing the approach to the large-N limit. Our results are compatible with analytical bounds derived from the S-matrix bootstrap approach. In addition, we also present a new test of the Svetitsky-Yaffe conjecture for the SU(3) theory in three dimensions, finding that the lattice results for the Polyakov-loop correlation function are in excellent agreement with the predictions of the Svetitsky-Yaffe mapping, which are worked out quantitatively applying conformal perturbation theory to the three-state Potts model in two dimensions. The implications of these results are discussed. |
| format | Article |
| id | doaj-art-0697a8a7675e49cf8673448857e20dd1 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-0697a8a7675e49cf8673448857e20dd12024-11-24T12:07:36ZengSpringerOpenJournal of High Energy Physics1029-84792024-08-012024814010.1007/JHEP08(2024)198Confining strings in three-dimensional gauge theories beyond the Nambu-Gotō approximationMichele Caselle0Nicodemo Magnoli1Alessandro Nada2Marco Panero3Dario Panfalone4Lorenzo Verzichelli5Department of Physics, University of Turin and INFNDepartment of Physics, University of Genoa and INFNDepartment of Physics, University of Turin and INFNDepartment of Physics, University of Turin and INFNDepartment of Physics, University of Turin and INFNDepartment of Physics, University of Turin and INFNAbstract We carry out a systematic study of the effective bosonic string describing confining flux tubes in SU(N) Yang-Mills theories in three spacetime dimensions. While their low-energy properties are known to be universal and are described well by the Nambu-Gotō action, a non-trivial dependence on the gauge group is encoded in a series of undetermined subleading corrections in an expansion around the limit of an arbitrarily long string. We quantify the first two of these corrections by means of high-precision Monte Carlo simulations of Polyakov-loop correlators in the lattice regularization. We compare the results of novel lattice simulations for theories with N = 3 and 6 color charges, and report an improved estimate for the N = 2 case, discussing the approach to the large-N limit. Our results are compatible with analytical bounds derived from the S-matrix bootstrap approach. In addition, we also present a new test of the Svetitsky-Yaffe conjecture for the SU(3) theory in three dimensions, finding that the lattice results for the Polyakov-loop correlation function are in excellent agreement with the predictions of the Svetitsky-Yaffe mapping, which are worked out quantitatively applying conformal perturbation theory to the three-state Potts model in two dimensions. The implications of these results are discussed.https://doi.org/10.1007/JHEP08(2024)198Bosonic StringsLattice Quantum Field TheoryVacuum Structure and ConfinementWilson’t Hooft and Polyakov loops |
| spellingShingle | Michele Caselle Nicodemo Magnoli Alessandro Nada Marco Panero Dario Panfalone Lorenzo Verzichelli Confining strings in three-dimensional gauge theories beyond the Nambu-Gotō approximation Journal of High Energy Physics Bosonic Strings Lattice Quantum Field Theory Vacuum Structure and Confinement Wilson ’t Hooft and Polyakov loops |
| title | Confining strings in three-dimensional gauge theories beyond the Nambu-Gotō approximation |
| title_full | Confining strings in three-dimensional gauge theories beyond the Nambu-Gotō approximation |
| title_fullStr | Confining strings in three-dimensional gauge theories beyond the Nambu-Gotō approximation |
| title_full_unstemmed | Confining strings in three-dimensional gauge theories beyond the Nambu-Gotō approximation |
| title_short | Confining strings in three-dimensional gauge theories beyond the Nambu-Gotō approximation |
| title_sort | confining strings in three dimensional gauge theories beyond the nambu goto approximation |
| topic | Bosonic Strings Lattice Quantum Field Theory Vacuum Structure and Confinement Wilson ’t Hooft and Polyakov loops |
| url | https://doi.org/10.1007/JHEP08(2024)198 |
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