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Dr. Harry Seldon
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Effective Lagrangian for Weyl Fermions of Superfluid 3He-A in Macroscopic Motion
An explicit effective field theory for the normal-component quasiparticles (emergent relativistic Weyl/Dirac fermions) of superfluid helium-3 A-phase when the fluid undergoes macroscopic motion (uniform velocity, rotation, uniform acceleration) in global thermodynamic equilibrium. Working in the functional-integral language and the Zubarev statistical-operator formalism, the effective Lagrangian is derived for fermions living in a space- and time-dependent matrix-valued vierbein background with nonzero torsion and the Nieh-Yan anomaly, and the matrix-vierbein description is recast as a Dirac doublet coupled to a real vierbein, an axial Abelian gauge field and a spin-connection gauge field. As an application it treats macroscopic rotation around integer mass vortices and the resulting thermodynamics of the normal component.