Finite-volume effects in the $δ$-regime

Fuente: arXiv
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Main Authors: Meißner, Ulf-G., Müller, Fabian, Rusetsky, Akaki
Format: Preprint
Published: 2024
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author Meißner, Ulf-G.
Müller, Fabian
Rusetsky, Akaki
author_facet Meißner, Ulf-G.
Müller, Fabian
Rusetsky, Akaki
contents 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 Preprint
id arxiv_https___arxiv_org_abs_2410_17825
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Finite-volume effects in the $δ$-regime
Meißner, Ulf-G.
Müller, Fabian
Rusetsky, Akaki
High Energy Physics - Lattice
Statistical Mechanics
High Energy Physics - Phenomenology
High Energy Physics - Theory
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.
title Finite-volume effects in the $δ$-regime
topic High Energy Physics - Lattice
Statistical Mechanics
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2410.17825