https://doi.org/10.1140/epjc/s10052-013-2525-4
Regular Article - Theoretical Physics
Soft confinement in a 3-d spin system
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
* e-mail: odagirik@gmail.com
Received:
20
June
2013
Published online:
21
August
2013
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.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2013
