Modified Lüscher zeta-function and the modified effective range expansion in the presence of a long-range force

A bstract An efficient numerical algoritm is proposed for the calculation of the modified Lüscher zeta-function in the presence of a long-range force. Using the formalism developed in ref. JHEP05(2024)168 for the analysis of synthetic data on the finite-volume energy levels in a toy model, it is demonstrated that, in contrast to the standard Lüscher approach, the truncation of the higher partial waves has very little effect on the final result. Furthermore, the regularization and renormalization of the modified Lüscher zeta-function is discussed in detail, as well as the problems arising within the cutoff regularization. It is shown that, using the renormalization scheme proposed in the present paper, one obtains modified effective range expansion parameters of natural size in all partial waves.

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Publication Details

Journal
Journal of High Energy Physics
Published
2025-10-23
DOI
https://doi.org/10.1007/jhep10(2025)197
Citations
1
Primary Topic
Quantum chaos and dynamical systems
Type
article
Field-Weighted Citation Impact
1.32

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article

Modified Lüscher zeta-function and the modified effective range expansion in the presence of a long-range force

H.‐W. Hammer, Jia-Jun Wu, Akaki Rusetsky, Rishabh Bubna et al.
1 citations
Journal of High Energy Physics
Quantum chaos and dynamical systems
1.32
article

Modified Lüscher zeta-function and the modified effective range expansion in the presence of a long-range force

H.‐W. Hammer, Jia-Jun Wu, Akaki Rusetsky, Rishabh Bubna, Bai-Long Hoid, Jin-Yi Pang
article en
1 citations

Abstract

A bstract An efficient numerical algoritm is proposed for the calculation of the modified Lüscher zeta-function in the presence of a long-range force. Using the formalism developed in ref. JHEP05(2024)168 for the analysis of synthetic data on the finite-volume energy levels in a toy model, it is demonstrated that, in contrast to the standard Lüscher approach, the truncation of the higher partial waves has very little effect on the final result. Furthermore, the regularization and renormalization of the modified Lüscher zeta-function is discussed in detail, as well as the problems arising within the cutoff regularization. It is shown that, using the renormalization scheme proposed in the present paper, one obtains modified effective range expansion parameters of natural size in all partial waves.

Journal of High Energy PhysicsVol. 2025(10)
Tbilisi State University (GE), University of Bonn (DE), University of Shanghai for Science and Technology (CN), GSI Helmholtz Centre for Heavy Ion Research (DE), Technische Universität Darmstadt (DE), University of Chinese Academy of Sciences (CN)
Deutsche Forschungsgemeinschaft, National Natural Science Foundation of China, Bundesministerium für Bildung und Forschung, Chinese Academy of Sciences, Ministerium für Kultur und Wissenschaft des Landes Nordrhein-Westfalen
Openalex Percentile: Top 15%
Quantum chaos and dynamical systems
1.32
DOIOpen Access PDFOpenAlex
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Modified Lüscher zeta-function and the modified effective range expansion in the presence of a long-range force — H.‐W. Hammer, Jia-Jun Wu, et al. · Journal of High Energy Physics (2025) | TGRS Research Map | TGRS