Geodesic
On $\Sigma$~models of spontane ously broken symmetries
Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 3, pp. 320-330

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The group-theoretical aspects of spontaneous breaking in linear $\Sigma$ models are discussed. General conditions are formulated which must be satisfied by a multiplet of the group $G$ (compact or noncompact) for the construction on it of a $\Sigma$ model with given stability subgroup $H$ of the vacuum. It is shown that application of the general formalism of models to the case of spontaneously broken space-time symmetries requires the introduction of additional coordinates beyond the four coordinates $x_\mu$. An investigation is also made of the connection between $\Sigma$ models of internal symmetries and the corresponding nonlinear realizations. 
@article{TMF_1976_28_3_a2,
     author = {E. A. Ivanov},
     title = {On $\Sigma$~models of spontane ously broken symmetries},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {320--330},
     publisher = {mathdoc},
     volume = {28},
     number = {3},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1976_28_3_a2/}
}
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E. A. Ivanov. On $\Sigma$~models of spontane ously broken symmetries. Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 3, pp. 320-330. http://geodesic.mathdoc.fr/item/TMF_1976_28_3_a2/