On induced CPT-odd Chern-Simons terms in 3+1 effective action

Details On induced CPT-odd Chern-Simons terms in 3+1 effective action On induced CPT-odd Chern-Simons terms in 3+1 effective action

1999-05-03

arxiv.org/abs/hep-th/9905008v2

JETP Lett. 70 (1999) 1-4; Pisma Zh.Eksp.Teor.Fiz. 70 (1999) 3-6

Physics

High Energy Physics

High Energy Physics - Theory

RevTex, 3 pages, no figures, extended version of Comment to the paper by R. Jackiw and V. Alan Kostelecky (hep-ph/9901358), to

Scientific paper

10.1134/1.568120

This paper was originally designated as Comment to the paper by R. Jackiw and V. Alan Kostelecky (hep-ph/9901358). 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 Chern-Simons term and the mixed axial-gravitational Chern-Simons term discussed in hep-ph/9905460. The influence of Chern-Simons term on the dynamics of the effective gauge field has been experimentally observed in rotating 3He-A.

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