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VOLUME 70 | ISSUE 1 | PAGE 3
On induced CPT-odd Chern-Simons terms in 3+1 effective action
PACS: 11.15.-q, 11.30.Er, 67.57.-z, 98.80.Cq
This paper was originally designated as Comment 'to the paper by R.Jackiw and V.A.Kostelecky, Phys. Rev. Lett. 82, 3572 (1999) [1]. We provide an example of the fermionic system, the superfluid 3He-A, in which the CPT-odd Chern-Simons terms in the effective action are unambiguously induced by chiral fermions. In this system the Lorentz and gauge invariances both are violated at high energy, but the behavior of the system beyond the cut-off is known. This allows us to construct the CPT-odd action, which combines the conventional 3+1 CS term and the mixed axial-gravitational CS term discussed by G.E.Volovik and A.Vilenkin, hep-ph/9905460 [2]. The influence of CS term on the dynamics of the effective gauge field has been experimentally observed in rotating 3He-A.