Maxwell theory of fractons
نویسندگان
چکیده
We show that the main properties of fracton quasiparticles can be derived from a generalized covariant Maxwell-like action. Starting rank-2 symmetric tensor field ${A}_{\ensuremath{\mu}\ensuremath{\nu}}(x)$, we build partially rank-3 strength ${F}_{\ensuremath{\mu}\ensuremath{\nu}\ensuremath{\rho}}(x)$ which obeys kind Bianchi identity. The most general action invariant under ``fracton'' transformation ${\ensuremath{\delta}}_{\text{fract}}{A}_{\ensuremath{\mu}\ensuremath{\nu}}(x)={\ensuremath{\partial}}_{\ensuremath{\mu}}{\ensuremath{\partial}}_{\ensuremath{\nu}}\mathrm{\ensuremath{\Lambda}}(x)$ consists two independent terms: one describing linearized gravity (LG) and other referable to fractons. whole written in terms ${F}_{\ensuremath{\mu}\ensuremath{\nu}\ensuremath{\rho}}(x)$, part Lagrangian writes as ${F}^{2}(x)$, analogy with Maxwell theory. canonical momentum coincides electric appearing literature, equations motion, have same form (${\ensuremath{\partial}}^{\ensuremath{\mu}}{F}_{\ensuremath{\alpha}\ensuremath{\beta}\ensuremath{\mu}}(x)=0$), magnetic fields yield four (generalized Gauss Amp\`ere laws), while Faraday laws) are consequences ``Bianchi identity'' for In generalization theory, limited mobility, i.e., charge dipole conservation, not external constraints, but rather hence and, ultimately, symmetry. Finally, increase known analogies between LG theory by noting both satisfy constraint underlies mobility property, would expect LG.
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ژورنال
عنوان ژورنال: Physical review
سال: 2022
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physrevd.106.125008