Quantum field theory on lightlike slabs

摘要: Restricting the support of relativistic quantum fields to lightlike hyperplanes (e.g. x0+x3)=const) we find examples such exist as well-defined self-adjoint operators with properties however that differ vastly from those on usual spacelike surfaces. We show a hyperplane 1) free-field algebra is irreducible (instead Abelian, and in contrast what one would expect data characteristic surface) 2) different masses become unitarily equivalent (whereas they are inequivalent planes). Furthermore field restricted space-time slab between two parallel planes always (while there counterexamples for slabs). establish this directly generalized free rederive it Wightman gereral.