# Renormalization group analysis on emergence of higher rank symmetry and higher moment conservation

@article{Li2021RenormalizationGA, title={Renormalization group analysis on emergence of higher rank symmetry and higher moment conservation}, author={Hongchao Li and Peng Ye}, journal={Physical Review Research}, year={2021} }

Higher rank symmetry and higher moment conservation have been drawn considerable attention from, e.g., subdiffusive transport to fracton topological order. In this paper, we perform a one-loop renormalization group (RG) analysis and show how these phenomena emerge at low energies. We consider a d-dimensional model of interacting bosons of d components. At higher-rank-symmetric points with conserved angular moments, the a-th bosons have kinetic energy only along the x̂ direction. Therefore, the…

## 6 Citations

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Abstract
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Chengkang Zhou,1, ∗ Meng-Yuan Li,2, ∗ Zheng Yan,1, 3, † Peng Ye,2, ‡ and Zi Yang Meng1 1Department of Physics and HKU-UCAS Joint Institute of Theoretical and Computational Physics, The University of…

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