Relativistic-invariant formulation of the NREFT three-particle quantization condition

Journal of High Energy Physics

Jin-Yi Pang¹  Fabian Müller²  Akaki Rusetsky³  Jia-Jun Wu⁴ 

[1] College of Science, University of Shanghai for Science and Technology, 200093, Shanghai, China;Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, 53115, Bonn, Germany;Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, 53115, Bonn, Germany;Tbilisi State University, 0186, Tbilisi, Georgia;School of Physical Sciences, University of Chinese Academy of Sciences, 100049, Beijing, China;

关键词: Effective Field Theories;    Lattice QCD;    Lattice Quantum Field Theory;   

DOI  :  10.1007/JHEP02(2022)158

来源: Springer

【 摘 要 】

A three-particle quantization condition on the lattice is written down in a manifestly relativistic-invariant form by using a generalization of the non-relativistic effective field theory (NREFT) approach. Inclusion of the higher partial waves is explicitly addressed. A partial diagonalization of the quantization condition into the various irreducible representations of the (little groups of the) octahedral group has been carried out both in the center-of-mass frame and in moving frames. Furthermore, producing synthetic data in a toy model, the relativistic invariance is explicitly demonstrated for the three-body bound state spectrum.

【 授权许可】

CC BY