Lorentz-covariant spinor wave packet
High Energy Physics - Theory
2024-09-06 v3 High Energy Physics - Phenomenology
Abstract
We propose a novel formulation for a manifestly Lorentz-covariant spinor wave-packet basis. The traditional definition of the spinor wave packet is problematic due to its unavoidable mixing with other wave packets under Lorentz transformations. Our approach resolves this inherent mixing issue. The wave packet we develop constitutes a complete set, enabling the expansion of a free spinor field while maintaining Lorentz covariance. Additionally, we present a Lorentz-invariant expression for zero-point energy.
Cite
@article{arxiv.2307.05932,
title = {Lorentz-covariant spinor wave packet},
author = {Kin-ya Oda and Juntaro Wada},
journal= {arXiv preprint arXiv:2307.05932},
year = {2024}
}
Comments
27 pages, 1 figure; accepted version for publication in Phys. Rev. D; Appendix D added, Introduction substantially revised from v1; other minor changes