论文标题
HALL粘度在超级流体$^3 $ He中
Hall viscosity in the A-phase of superfluid $^3$He
论文作者
论文摘要
我们为超流体$^3 $的A期构建了有效的现场理论。为此，我们通过引入背景量规场和空间度量来衡量曲面理论的内部全局对称性，从而揭示了被称为非层次性差异性的隐藏的局部对称性。非层次论的差异性对于对有效的田间理论产生额外的限制特别有用，并揭示了A相间的HALL粘度的普遍表达。我们发现它比在磁场下B期大的五个数量级大，因此通过测量声波的椭圆极化，它的实验观察更为可行。
We construct the effective field theory for the A-phase of superfluid $^3$He up to the next-to-leading order in the derivative expansion. To this end, we gauge the internal global symmetries of the theory on the curved space by introducing the background gauge fields and spatial metric so as to expose a hidden local symmetry known as the nonrelativistic diffeomorphism. The nonrelativistic diffeomorphism is particularly useful to yield an additional constraint on the effective field theory and reveal a universal expression for the Hall viscosity in the A-phase. We find it five orders of magnitude larger than that in the B-phase under a magnetic field so that its experimental observation is more feasible by measuring the induced elliptic polarization of sound waves.
