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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Bibliographic Details
Main Authors: Ulf-G. Meißner, Fabian Müller, Akaki Rusetsky
Format: Article
Language:English
Published: SpringerOpen 2025-02-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP02(2025)092
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Summary: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.
ISSN:1029-8479