Finite-volume effects in the δ-regime
Abstract We derive a systematic perturbative expansion for the finite-volume energy spectrum of the non-linear O(N) σ-model in the δ-regime. The violation of the power-counting rules that emerges after the separation of the fast and slow modes is dealt with to all orders by use of the threshold expa...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP02(2025)092 |
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| author | Ulf-G. Meißner Fabian Müller Akaki Rusetsky |
| author_facet | Ulf-G. Meißner Fabian Müller Akaki Rusetsky |
| author_sort | Ulf-G. Meißner |
| collection | DOAJ |
| description | Abstract We derive a systematic perturbative expansion for the finite-volume energy spectrum of the non-linear O(N) σ-model in the δ-regime. The violation of the power-counting rules that emerges after the separation of the fast and slow modes is dealt with to all orders by use of the threshold expansion. The known result for the rest-frame energy spectrum up-to-and-including next-to-next-to-leading order is reproduced. |
| format | Article |
| id | doaj-art-531cbfbfbc234e2eb61fd2e83b03697e |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-531cbfbfbc234e2eb61fd2e83b03697e2025-08-20T03:03:55ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025212910.1007/JHEP02(2025)092Finite-volume effects in the δ-regimeUlf-G. Meißner0Fabian Müller1Akaki Rusetsky2Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität BonnHelmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität BonnHelmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität BonnAbstract We derive a systematic perturbative expansion for the finite-volume energy spectrum of the non-linear O(N) σ-model in the δ-regime. The violation of the power-counting rules that emerges after the separation of the fast and slow modes is dealt with to all orders by use of the threshold expansion. The known result for the rest-frame energy spectrum up-to-and-including next-to-next-to-leading order is reproduced.https://doi.org/10.1007/JHEP02(2025)092Chiral LagrangianEffective Field TheoriesLattice Quantum Field Theory |
| spellingShingle | Ulf-G. Meißner Fabian Müller Akaki Rusetsky Finite-volume effects in the δ-regime Journal of High Energy Physics Chiral Lagrangian Effective Field Theories Lattice Quantum Field Theory |
| title | Finite-volume effects in the δ-regime |
| title_full | Finite-volume effects in the δ-regime |
| title_fullStr | Finite-volume effects in the δ-regime |
| title_full_unstemmed | Finite-volume effects in the δ-regime |
| title_short | Finite-volume effects in the δ-regime |
| title_sort | finite volume effects in the δ regime |
| topic | Chiral Lagrangian Effective Field Theories Lattice Quantum Field Theory |
| url | https://doi.org/10.1007/JHEP02(2025)092 |
| work_keys_str_mv | AT ulfgmeißner finitevolumeeffectsinthedregime AT fabianmuller finitevolumeeffectsinthedregime AT akakirusetsky finitevolumeeffectsinthedregime |