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Redundancies in Nambu-Goldstone Bosons
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Redundancies in Nambu-Goldstone Bosons
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We propose a simple criterion to identify when Nambu-Goldstone bosons (NGBs) for different symmetries are redundant. It solves an old mystery why crystals have phonons for spontaneously broken translations but no gapless excitations for equally spontaneously broken rotations. Similarly for a superfluid, the NGB for spontaneously broken Galilean symmetry is redundant with phonons. The most nontrivial example is Tkachenko mode for a vortex lattice in a superfluid, where phonons are redundant to the Tkachenko mode which is identified as the Boboliubov mode.
Forward citations
Cited by 1 Pith paper
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Magnetic Symmetries and the Structure of Correlation Functions in Quantum Field Theory
Magnetic translation symmetry in QFT with external magnetic field forces charged operator two-point functions to factor into a Schwinger phase times a reduced correlator depending only on relative coordinates.
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