2023/05/29 by Ilija Burić, Buric, Ilija, Francesco Russo +3
Engineering · Physics and Astronomy · #Geophysics and Sensor Technology #Cold Atom Physics and Bose-Einstein Condensates #Quantum optics and atomic interactions
paper · pdf · doi:10.48550/arxiv.2305.18523
Partial wave decomposition is one of the main tools within the modern S-matrix studies. We present a method to compute partial waves for 2→2 scattering of spinning particles in arbitrary spacetime dimension. We identify partial waves as matrix elements of the rotation group with definite covariance properties under a subgroup. This allows to use a variety of techniques from harmonic analysis in order to construct a novel algebra of weight-shifting operators. All spinning partial waves are generated by the action of these operators on a set of known scalar seeds. The text is accompanied by a \it Mathematica notebook to automatically generate partial waves. These results pave the way to a systematic studies of spinning S-matrix bootstrap and positivity bounds.