Interpolating relativistic and nonrelativistic Nambu-Goldstone and Higgs modes

• 小林, 未知数

• Nitta, Muneto

抄録

When a continuous symmetry is spontaneously broken in nonrelativistic theories, there appear Nambu-Goldstone (NG) modes, the dispersion relations of which are either linear (type I) or quadratic (type II). We give a general framework to interpolate between relativistic and nonrelativistic NG modes, revealing a nature of type-I and -II NG modes in nonrelativistic theories. The interpolating Lagrangians have the nonlinear Lorentz invariance which reduces to the Galilei or Schrödinger invariance in the nonrelativistic limit. We find that type-I and type-II NG modes in the interpolating region are accompanied with a Higgs mode and a chiral NG partner, respectively, both of which are gapful. In the ultrarelativistic limit, a set of a type-I NG mode and its Higgs partner remains, while a set of a type-II NG mode and its gapful NG partner turns to a set of two type-I NG modes. In the nonrelativistic limit, the both types of accompanied gapful modes become infinitely massive, disappearing from the spectrum. The examples contain a phonon in Bose–Einstein condensates or helium superfluids, a phonon and magnon in spinor Bose–Einstein condensates, a magnon in ferromagnets, and a kelvon and dilaton-magnon localized around a Skyrmion line in ferromagnets.

収録刊行物

• Physical Review D

  Physical Review D 92 (4), 2015-08-24

  American Physical Society

詳細情報

• CRID: 1050845760746529408
• NII論文ID: 120005672573
• NII書誌ID: AA00773624
• ISSN: 15507998
• HANDLE: 2433/201882
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
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  • CiNii Articles