Leptons, quarks, and their antiparticles: a phase-space view

Abstract

Recently, a correspondence has been shown to exist between the structure of a single Standard Model generation of elementary particles and the properties of the Clifford algebra of nonrelativistic phase space. Here, this correspondence is spelled out in terms of phase-space variables. Thus, a phase-space interpretation of the connections between leptons, quarks and their antiparticles is proposed, in particular providing a timeless alternative to the standard Stueckelberg-Feynman interpretation. The issue of the additivity of canonical momenta is raised and argued to be intimately related to the unobservability of free quarks and the emergence of mesons and baryons.

17 pages, slightly revised introduction and the beginning of Section 2, results unchanged - as to appear in Int. J. Theor. Phys

References in corpus (5)

• Deformation Quantization: Quantum Mechanics Lives and Works in Phase-Space
• The Harari-Shupe preon model and nonrelativistic quantum phase space
• The Landscape of Theoretical Physics: A Global View; From Point Particles to the Brane World and Beyond, in Search of a Unifying Principle
• Clifford Algebra of Nonrelativistic Phase Space and the Concept of Mass
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Cited by in corpus (2)

• Properties of Elementary Fermions of the Standard Model deduced from Linear Canonical Transformations
• Leptons, quarks, and their antiparticles from a phase-space perspective