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3 votes
0 answers
196 views

Goldstone Modes, Galilean Symmetry, and Negative Excitations in Fermi Gas

Considering the centrality of Goldstone quasiparticles in condensed matter theories, I was wondering if the converse of the theorem might also be true: Does the existence of a gapless excitation imply ...
Deep Blue's user avatar
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7 votes
4 answers
810 views

Why does the breaking of a 'continuous' symmetry lead to gapless excitations but not that of a discrete symmetry?

Goldstone theorem, especially in the context of condensed matter physics, can be stated as: Whenever there is spontaneous breakdown of a continuous global symmetry, the spectrum of the theory ...
SRS's user avatar
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