High Spins Beyond Rarita-Schwinger Framework
| dc.creator | Kirchbach, Mariana | |
| dc.creator | Napsuciale, Mauro | |
| dc.date | 2004-07-15 | |
| dc.date | 2005-05-27 | |
| dc.date.accessioned | 2026-07-07T03:52:53Z | |
| dc.date.available | 2026-07-07T03:52:53Z | |
| dc.description | We study the eigenvalue problem of the squared Pauli-Lubanski vector, W^{2}, in the Spinor-Vector representation space and derive from it that the -s(s+1)m^{2} subspace with s=3/2, i.e. spin 3/2 in the rest frame, is pinned down by the one sole Klein-Gordon like equation, [ (p^{2}-m^{2})g_{αβ}-{2/3}p_βp_α- {1/3}(p_αγ_β+p_βγ_α)\not p +{1/3} γ_α\not p γ_β\not p ] ψ^β=0. Upon gauging this W^{2} invariant subspace of ψ_μ is shown to couple to the electromagnetic field in a fully covariant fashion already at zeroth order of 1/m and with the correct gyromagnetic factor of g_{s}=\frac{1}{s}. The gauged equation is hyperbolic and hence free from the Velo-Zwanziger problem of acausal propagation within an electromagnetic field at least to that order. | |
| dc.description | 16 pages, revised version | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0407179 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0407179 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/43632 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | High Spins Beyond Rarita-Schwinger Framework | |
| dc.type | text |