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Soft confinement in a 3-d spin system

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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 Schrödinger 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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Notes

  1. We thank H. Eisaki and I. Hase for valuable discussions on this point.

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Acknowledgements

We thank H. Asai, H. Eisaki, I. Hase, M. Hashimoto and S. Kawabata for stimulating discussions.

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Authors and Affiliations

  1. Electronics and Photonics Research Institute, National Institute of Advanced Industrial Science and Technology, Tsukuba Central 2, 1-1-1 Umezono, Tsukuba, Ibaraki, 305-8568, Japan

    K. Odagiri & T. Yanagisawa

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  1. K. Odagiri
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  2. T. Yanagisawa
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Correspondence to K. Odagiri.

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Odagiri, K., Yanagisawa, T. Soft confinement in a 3-d spin system. Eur. Phys. J. C 73, 2525 (2013). https://doi.org/10.1140/epjc/s10052-013-2525-4

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