Correlators are simpler than wavefunctions

Abstract

Recent works reveal a simplicity in equal-time correlators absent from wavefunctions. We show that it follows from the fact that correlators are full spacetime integrals, rather than half-spacetime integrals as for the wavefunction. This makes striking properties manifest: some wavefunction singularities are absent, factorization simplifies, and around every pole the Laurent expansion has vanishing first subleading term. Near the total-energy pole, the expansion to second order is generated by a differential operator on scattering amplitudes.

8 pages, 1 figure