Lorentz-covariant spinor wave packet

Fuente: arXiv
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Main Authors: Oda, Kin-ya, Wada, Juntaro
Format: Preprint
Published: 2023
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author Oda, Kin-ya
Wada, Juntaro
author_facet Oda, Kin-ya
Wada, Juntaro
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2307_05932
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Lorentz-covariant spinor wave packet
Oda, Kin-ya
Wada, Juntaro
High Energy Physics - Theory
High Energy Physics - Phenomenology
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.
title Lorentz-covariant spinor wave packet
topic High Energy Physics - Theory
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2307.05932