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Appendix A: Long Range Dynamics and Vacuum Seizing
basic assumptions of the Goldstone theorem, but they also provide a mechanism of
symmetry breaking due to the volume effects induced by persistent coupling with
the boundary in the infinite volume limit.
The following two Appendices discuss physically relevant examples in which the
above algebraic structure is realized and the Goldstone energy spectrum at vanishing
momentum has a gap (evasion of Goldstone theorem).
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