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Parity and fermions in front-form: an unexpected result

1994/07/15 by Mikolaj Sawicki, Dharam Vir Ahluwalia, D. V. Ahluwalia · 6 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Covariant transformation #Fermion #Front (military) #Mathematical physics #Parity (physics) #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Representation (politics) #Spinor #Theoretical physics #hep-th #nucl-th

paper · pdf · doi:10.1016/0370-2693(94)91552-0

published in Physics Letters B 335(1), 24-28 (Elsevier BV) · LAUR-93-4317-REV, 10 pages, Revtex Version 3.0 (Accepted for publication in Phys. Lett. B)

arxiv created 1994/07/15 · openalex publication_date 1994/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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)⊕(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.

Citations