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arXiv · 1308.5731

Soft confinement in a 3-d spin system

K. Odagiri·T. Yanagisawa
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Abstract

We consider a 1+3 dimensional spin system. The spin-wave (magnon) field is described by the O(3) non-linear sigma model with a symmetry-breaking potential. This interacts with a slow spin SU(2) doublet Schrodinger fermion. The interaction is described by a generalized nonperturbative Yukawa coupling, and the self-consistency condition is solved with the aid of a non-relativistic Gribov equation. When the Yukawa coupling is sufficiently strong, the solution exhibits supercriticality and soft confinement, in a way that is quite analogous to Gribov's light-quark confinement theory. The solution corresponds to a new type of spin polaron, whose condensation may lead to exotic superconductivity.

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K. Odagiri, T. Yanagisawa. 2013-08-27. Soft confinement in a 3-d spin system. https://doi.org/10.1140/epjc%2Fs10052-013-2525-4

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