THE GLASS AS AN ELASTIC CONTINUUM

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Abstract
The theory of elasticity of continuous media is applied to amorphous materials, whose symmetry is completely broken. It is shown that a single line defect, a z2 disclination, survives the absence of generative symmetry, and that the arbitrariness of the local reference frame can be expressed as a SO (3) gauge symmetry. We derive the physical consequences of the existence of these disclinations (two-level systems, Vogel-Fulcher law), and their elastic energy, which is screened down to Coulomb potential by thermal fluctuations in the dislocation part of the incompatibility

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