TL;DR
This paper introduces a novel Lorentz-covariant gauge for SU(3) where ghosts and gauge fields in certain directions acquire half-integer spin, leading to potential new matter states and symmetry breaking.
Contribution
It proposes a new gauge that alters the spin-statistics relationship for ghosts and gauge fields, affecting asymptotic states and symmetry structure in SU(3).
Findings
Ghosts in certain directions have correct spin-statistics.
Asymptotic gauge fields in these directions are forbidden.
SU(3) symmetry breaks to SU(2)xU(1) asymptotically.
Abstract
A new Lorentz-covariant gauge is presented for SU(3). In this gauge, both the ghosts and the gauge fields in the (4, 5, 6, 7) gauge directions acquire half-integral spin. As a result, the ghosts in these directions have the correct relationship between spin and statistics, while the gauge fields have the incorrect relationship. Consequently, asymptotic ghost states are not forbidden in this gauge and can possibly form new matter states. Conversely, asymptotic gauge fields in the (4, 5, 6, 7) directions are forbidden in this gauge, so the SU(3) symmetry is broken down to an SU(2)xU(1) symmetry asymptotically.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Particle physics theoretical and experimental studies · Black Holes and Theoretical Physics