Interacting gauge fields and the zero-energy eigenstates in two dimensions

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dc.creatorKobayashi, Tsunehiro
dc.date2005-03-07
dc.date.accessioned2026-07-07T04:18:08Z
dc.date.available2026-07-07T04:18:08Z
dc.descriptionGauge fields are formulated 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 $ρ=\sqrt{x^2+y^2}$). It is shown that the zero-energy states can naturally be interpreted as a kind of interacting gauge fields of which effects are solved as the factors $e^{ig_cχ_A}$, where $χ_A$ are complex gauge functions written by the zero-energy eigenfunctions. We see that the gauge fields for $a=1$ are nothing but tachyons that have negative squared-mass $m^2=-g_1$. We also find out U(1)-type gauge fields for $a=1/2$ and SU(3)-type gauge fields for $a=3/2$. Massive particles with internal structures described by the zero-energy states are also studied.
dc.description6pages,6figures
dc.identifierhttps://arxiv.org/abs/hep-th/0503051
dc.identifierhttp://arxiv.org/abs/hep-th/0503051
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53053
dc.subjectHigh Energy Physics - Theory
dc.titleInteracting gauge fields and the zero-energy eigenstates in two dimensions
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