Soft confinement in a 3-d spin system
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.
Keywords
Cite
@article{arxiv.1308.5731,
title = {Soft confinement in a 3-d spin system},
author = {K. Odagiri and T. Yanagisawa},
journal= {arXiv preprint arXiv:1308.5731},
year = {2013}
}
Comments
8 pages, uses axodraw.sty; the final publication is available at link.springer.com