The Analytic Wavefunction

Understand

The wavefunction in quantum field theory is an invaluable tool for tackling a variety of problems, including probing the interior of Minkowski spacetime and modelling boundary observables in de Sitter spacetime.

• Here we study the analytic structure of wavefunction coefficients in Minkowski as a function of their kinematics.
• We introduce an off-shell wavefunction in terms of amputated time-ordered correlation functions and show that it is analytic in the complex energy plane except for possible singularities on the negative real axis.
• These singularities are determined to all loop orders by a simple energy-conservation condition.