Spinors, Proper Time and Higher-Spin Fields
High Energy Physics - Theory
2023-01-06 v1
Abstract
We present a Lagrangian formulation for 4d integer-spin relativistic fields in the 5d space spanned by two conjugate Weyl spinors and a Lorentz-invariant proper-time coordinate. We construct a manifestly Poincare-invariant free classical action, find a general solution to equations of motion and a corresponding positive-definite inner product. Our formulation displays a separation of variables: equations of motion represent ODE in a proper time only, while spinor coordinates parameterize the Cauchy hypersurface. We also find momentum eigenstates solutions for massless arbitrary integer-spin fields and a massive scalar field.
Cite
@article{arxiv.2301.02207,
title = {Spinors, Proper Time and Higher-Spin Fields},
author = {N. G. Misuna},
journal= {arXiv preprint arXiv:2301.02207},
year = {2023}
}
Comments
13 pages