Titlebook: Symmetry Breaking; Franco Strocchi Book 20082nd edition Springer-Verlag Berlin Heidelberg 2008 Algebraic structure.Gauge theory.Goldstone

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Spontaneous Symmetry Breakingnt achievements in the description of phase transitions in Statistical Mechanics as well as of collective phenomena in solid state physics. It has also made possible the unification of weak, electromagnetic and strong interactions in elementary particle physics. Philosophically, the idea is very dee

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The Goldstone Theoremmation on the energy spectrum of an infinite dimensional system, by means of the so-called .,. according to which to each broken generator . of a continuous symmetry there corresponds a massless mode, i.e. a free wave. The quantum version of such a statement has been turned into a theorem,. whereas,

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Mathematical Description of Infinitely Extended Quantum Systemsnal case, above all because of the existence of (too) many possible representations of the algebra of canonical variables. A big step in the direction of controlling the problem has been taken by Haag et al., who emphasized the need of exploiting crucial physical properties of the algebra of observa

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Physically Relevant Representations canonical variables (a basic preliminary step for even defining the dynamical problem) is a highly non-trivial problem (unless the model is exactly soluble). Among the possible representations of the relevant algebra ., it is therefore convenient to isolate those which are physically acceptable. Fo

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