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Generally Covariant Theory Of Multipole Moment Conserving Quasiparticles, Gavin Eric Riley
Generally Covariant Theory Of Multipole Moment Conserving Quasiparticles, Gavin Eric Riley
Honors Theses and Capstones
This report represents the creation of a field theory which is capable of describing quasiparticle excitations that preserve 2^k -pole moments. These quasiparticles exhibit certain ’semidynamic’ properties such as individual particle immobility but free movement of bound 2^L-tuples. We provide a review of work done on dipole conserving fractons and their dynamics [1] and expand upon it to describe higher moment conserving systems with global quadratic (and higher) phase symmetry. This requires the selection of the temporal and spatial directions. The selection of a temporal direction is done with a foliation defined by an anisotropic scaling of space and time, …