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High Energy Physics - Lattice
Title: Lüscher equation with long-range forces
(Submitted on 20 Feb 2024 (v1), last revised 24 Apr 2024 (this version, v3))
Abstract: We derive the modified L\"uscher equation in the presence of the long-range force caused by the exchange of a light particle. It is shown that the use of this equation enables one to circumvent the problems related to the strong partial-wave mixing and the t-channel sub-threshold singularities. It is also demonstrated that the present method is intrinsically linked to the so-called modified effective-range expansion (MERE) in the infinite volume. A detailed comparison with the two recently proposed alternative approaches is provided.
Submission history
From: Fabian Müller [view email][v1] Tue, 20 Feb 2024 13:14:02 GMT (87kb,D)
[v2] Wed, 28 Feb 2024 17:33:49 GMT (88kb,D)
[v3] Wed, 24 Apr 2024 14:42:34 GMT (92kb,D)
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