A Fermionic Hodge Star Operator

Details A Fermionic Hodge Star Operator A Fermionic Hodge Star Operator

1998-09-21

arxiv.org/abs/hep-th/9809157v1

Mod.Phys.Lett. A14 (1999) 965-976

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, plain TeX + harvmac

Scientific paper

10.1142/S0217732399001036

A fermionic analogue of the Hodge star operation is shown to have an explicit operator representation in models with fermions, in spacetimes of any dimension. This operator realizes a conjugation (pairing) not used explicitly in field-theory, and induces a metric in the space of wave-function(al)s just as in exterior calculus. If made real (Hermitian), this induced metric turns out to be identical to the standard one constructed using Hermitian conjugation; the utility of the induced complex bilinear form remains unclear.

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