Geodesic
Gauge theory of amorphous magnets
Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 1, pp. 58-65

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A gauge theory of disordered magnets as a field theory in the principal fiber bundle with structure group $SL(3,R)$ is constructed. The gauge field interacting with a vector field (the magnetization) is responsible for the disorder. A complete system of equations, valid for arbitrary disordered magnets, is obtained. In the limiting case of a free gauge field the proposed approach leads to the well-known Volovik–Dzyaioshinskii theory, which describes isotropic spin glasses. In the other limiting case when the curvature is zero the results of Ignatchenko and Iskhakov for weakly disordered ferromagnets are reproduced. 
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     author = {A. I. Nesterov and S. G. Ovchinnikov},
     title = {Gauge theory of amorphous magnets},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {58--65},
     publisher = {mathdoc},
     volume = {76},
     number = {1},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_76_1_a4/}
}
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A. I. Nesterov; S. G. Ovchinnikov. Gauge theory of amorphous magnets. Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 1, pp. 58-65. http://geodesic.mathdoc.fr/item/TMF_1988_76_1_a4/