Parity and Fermions in Front-Form: An Unexpected Result

Abstract

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.

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

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Cited by in corpus (2)

• P, C and T: Different Properties on the Kinematical Level
• Incompatibility of the Dirac-like Field Operators with the Majorana Anzatzen