A Fermionic Hodge Star Operator
High Energy Physics - Theory
2009-10-31 v1
Abstract
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.
Cite
@article{arxiv.hep-th/9809157,
title = {A Fermionic Hodge Star Operator},
author = {Alfred Davis and Tristan Hubsch},
journal= {arXiv preprint arXiv:hep-th/9809157},
year = {2009}
}
Comments
11 pages, plain TeX + harvmac