Low-energy effective field theory of superfluid {sup 3}He-B and its gyromagnetic and Hall responses

Journal Article · Wed Aug 15 04:00:00 EDT 2018 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2018.06.003· OSTI ID:22852271

Fujii, Keisuke; Nishida, Yusuke ^[1]

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1. Department of Physics, Tokyo Institute of Technology, Ookayama, Meguro, Tokyo, 152-8551 (Japan)

The low-energy physics of a superfluid {sup 3}He-B is governed by Nambu–Goldstone bosons resulting from its characteristic symmetry breaking pattern. Here we construct an effective field theory at zero temperature consistent with all available symmetries in curved space, which are the U(1){sub phase}×SU(2){sub spin}×SO(3){sub orbital} gauge invariance and the nonrelativistic general coordinate invariance, up to the next-to-leading order in a derivative expansion. The obtained low-energy effective field theory is capable of reproducing gyromagnetic responses of the superfluid {sup 3}He-B, such as a magnetization generated by a rotation and an orbital angular momentum density generated by a magnetic field, in a model-independent and nonperturbative way. We furthermore show that the stress tensor exhibits a dissipationless Hall viscosity with coefficients uniquely fixed by the orbital angular momentum density, which manifests itself as an elliptical polarization of sound wave with an induced transverse component.

• OSTI ID: 22852271
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 395; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DENSITY
FIELD THEORIES
GAUGE INVARIANCE
GOLDSTONE BOSONS
HALL EFFECT
HELIUM 3
MAGNETIC FIELDS
MAGNETIZATION
ORBITAL ANGULAR MOMENTUM
POLARIZATION
SOUND WAVES
STRESSES
SUPERFLUIDITY
TENSORS
VISCOSITY