Parity and Fermions in Front-Form: An Unexpected Result

Details Parity and Fermions in Front-Form: An Unexpected Result Parity and Fermions in Front-Form: An Unexpected Result

1994-07-15

arxiv.org/abs/hep-th/9407095v1

Phys.Lett.B335:24-28,1994

Physics

High Energy Physics

High Energy Physics - Theory

LAUR-93-4317-REV, 10 pages, Revtex Version 3.0 (Accepted for publication in Phys. Lett. B)

Scientific paper

10.1016/0370-2693(94)91552-0

We show that under the operation of parity the {\it front-form} $(1/2,\,0)$ and $(0,\,1/2)$ Weyl spinors (massive or massless) do not get interchanged. This has the important consequence that if a front-form theory containing $(1/2,\,0)\oplus(0,\,1/2)$ representation space has to be parity covariant then one must study the evolution of a physical system not only along $x^+$ but also along the $x^-$ direction. As a result of our analysis, we find an indication that there may be no halving of the degrees of freedom in the front form of field theories.

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