Parity and Fermions in Front-Form: An Unexpected Result
Abstract
We show that under the operation of parity the 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)(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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