TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.8.3.058
TI  - Gauge theory for topological waves in continuum fluids with odd viscosity
PY  - 2025/08/28
UR  - https://www.scipost.org/SciPostPhysCore.8.3.058
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 8
IS  - 3
SP  - 058
A1  - Fujii, Keisuke
AU  - Ashida, Yuto
AB  - We consider two-dimensional continuum fluids with odd viscosity under a chiral body force. The chiral body force makes the low-energy excitation spectrum of the fluids gapped, and the odd viscosity allows us to introduce the first Chern number of each energy band in the fluids. Employing a mapping between hydrodynamic variables and U(1) gauge field strengths, we derive a U(1) gauge theory for topologically nontrivial waves. The resulting U(1) gauge theory is given by the Maxwell-Chern-Simons theory with an additional term associated with odd viscosity. We then explicitly solve the equations of motion for the gauge fields in the presence of the boundary and find edge mode solutions. We finally confirm the bulk-boundary correspondence in the context of continuum systems.
ER  -

@Article{10.21468/SciPostPhysCore.8.3.058,
	title={{Gauge theory for topological waves in continuum fluids with odd viscosity}},
	author={Keisuke Fujii and Yuto Ashida},
	journal={SciPost Phys. Core},
	volume={8},
	pages={058},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.8.3.058},
	url={https://scipost.org/10.21468/SciPostPhysCore.8.3.058},
}