An origin of spins of fields

dc.creatorKobayashi, Tsunehiro
dc.date2005-04-15
dc.date.accessioned2026-07-07T04:18:16Z
dc.date.available2026-07-07T04:18:16Z
dc.descriptionSpins of fields are investigated in terms of the zero-energy eigenstates of 2-dimensional Schr$\ddot {\rm o}$dinger equations with central potentials $V_a(ρ)=-a^2g_aρ^{2(a-1)}$ ($a\not=0$, $g_a>0$ and $ρ=\sqrt{x^2+y^2}$). We see that for $a=N/2$ ($N=$positive odd integers) one half spin states can naturally be understood as states with the angular momentum $l=1$ in the $ζ_a$ plane which is obtained by mapping the $xy$ plane in terms of conformal transformations $ζ_a=z^a$ with $z=x+iy$. It is shown that the scalar and the 1/2-spin fields can obtain masses. Vortex structures and a supersymmetry for the zero-energy states are also pointed out.
dc.description8pages
dc.identifierhttps://arxiv.org/abs/hep-th/0504131
dc.identifierhttp://arxiv.org/abs/hep-th/0504131
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53105
dc.subjectHigh Energy Physics - Theory
dc.titleAn origin of spins of fields
dc.typetext

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