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arXiv 1301.3544cond-mat.otherhep-phhep-th
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超流~ 3 He-B中局域于质量涡的非阿贝尔准无隙模

Non-Abelian Quasi-Gapless Modes Localized on Mass Vortices in Superfluid 3He-B

Muneto Nitta, Mikhail Shifman, Walter Vinci

摘要:

很长一段时间以来,开尔文波或开尔文一直被认为是沿着超流体涡旋传播的无间隙激发。这些模式可以解释为Nambu-Goldstone激发所产生的自发破缺的平移对称性。最近,一种不同类型的无带隙激发定位在弦上-所谓的非阿贝尔模式-引起了高能物理学的广泛关注。我们讨论了它们在凝聚态物理中的相关性。虽然我们没有找到精确的无隙非阿贝尔模,但由于3 He-B中的序参量是张量的,我们认为在超流3 He的B相中的质量涡旋上存在非阿贝尔转动准无隙激发.虽然U(1)旋转激励在具有非对称核的涡中得到了很好的建立,但属于同一族的非阿贝尔旋转激励没有被考虑。在一般情况下,它们与平移模耦合。

英文摘要:

Kelvin waves or Kelvons have been known for a long time as gapless excitations propagating along superfluid vortices. These modes can be interpreted as the Nambu-Goldstone excitations arising from the spontaneous breaking of the translational symmetry. Recently a different type of gapless excitation localized on strings -- the so-called non-Abelian mode -- attracted much attention in high-energy physics. We discuss their relevance in condensed matter physics. Although we failed to find exactly gapless non-Abelian modes, non-Abelian rotational quasigapless excitations are argued to exist on the mass vortices in the B phase of the superfluid 3He, due to the fact that the order parameter in 3He-B is tensorial. While the U(1) rotational excitations are well established in vortices with asymmetric cores, the non-Abelian rotational excitations belonging to the same family were not considered. In the general case they are coupled with the translational modes.

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