Non-relativistic limit for Higher Spin Fields and Planar Schroedinger Equation in 3D
High Energy Physics - Theory
2023-04-18 v2
Abstract
Higher spin (HS) fields naturally occur in string theory, they are considered as a candidate for dark matter and may also appear as a collective excitation in condensed matter systems. In some cases one may study the HS fields in the non-relativistic settings. Thus, it is of interest to know the non-relativistic limit of HS fields and how to find the Schroedinger equation as the dynamical equation in this limit. In this paper, we consider the non-relativistic limit of HS fields in Minkowskian spacetime in 3D. We work both at the level of equation of motion and action/Lagrangian density. We find the systematic procedures in both settings and show that they can be generalized to arbitrary HS fields.
Keywords
Cite
@article{arxiv.2304.05321,
title = {Non-relativistic limit for Higher Spin Fields and Planar Schroedinger Equation in 3D},
author = {Abhijeet Dutta},
journal= {arXiv preprint arXiv:2304.05321},
year = {2023}
}