26–30 Aug 2024
Ruhr University Bochum, Germany
Europe/Berlin timezone

Long-range forces in a finite volume

27 Aug 2024, 16:30
30m
Saal 1 (Convention Centre)

Saal 1

Convention Centre

Invited working group talk WG1: Goldstone-Boson Dynamics WG1 parallel session

Speaker

Dr Akaki Rusetsky (University of Bonn)

Description

The presence of the long-range forces brings novel aspects in the formulation of the finite-volume two-body quantization condition, which relates the lattice spectrum with the infinite-volume scattering phase shifts. In particular, the higher partial waves start to contribute substantially to the quantization condition that makes the analysis more complicated. Furthermore, the so-called $t$-channel cut in the scattering amplitude moves very close to the unitarity cut, rendering the use of the standard formalism impossible just below the physical threshold. In my talk, I will review different solutions to the problem that are available in the literature. In particular, I shall concentrate on the recent proposal, based on the finite-volume version of the modified effective-range expansion.

Primary authors

Dr Akaki Rusetsky (University of Bonn) Mr Fabian Müller (University of Bonn) Hans-Werner Hammer (Technische Universität Darmstadt) Prof. Jia-Jun Wu (University of Chinese Academy of Sciences) Prof. Jin-Yi Pang (University of Shanghai for Science and Technology) Mr Rishabh Bubna (University of Bonn)

Presentation materials