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An Algebraic Approach for Spontaneous Symmetry Breaking in Quantum Statistical Mechanics

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Groups, Systems and Many-Body Physics

Part of the book series: Vieweg Tracts in Pure and Applied Physics ((VTPAP,volume 4))

Abstract

The language of this first section is quite heuristic, as it only aims at a broad presentation of the problems we want to turn our attention to. A rigorous formulation of some of these questions, and of their answers, is reviewed in section 2. A few illustrative models are mentioned briefly in Section 3. Section 4 is entirely devoted to the question raised by the very existence of crystals in a world where the fundamental interactions are believed to be covariant at least under the group of rigid motions in IR3.

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Emch, G.G. (1980). An Algebraic Approach for Spontaneous Symmetry Breaking in Quantum Statistical Mechanics. In: Kramer, P., Dal Cin, M. (eds) Groups, Systems and Many-Body Physics. Vieweg Tracts in Pure and Applied Physics, vol 4. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-06825-9_5

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  • DOI: https://doi.org/10.1007/978-3-663-06825-9_5

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