The charge sector problem of vacuum vector for the Yukawa2 quantum field theory

Abstract

Defining the charge densityϱ ω (x),x ∈R, in the physical spaceFren for the Yukawa2 model, we show that the charge density of the physical vacuum vectorΩ ω ,(Ω ω ,ϱ ω (x)Ω ω ) is uniform over all spaceR. Moreover there exist(s) the physical vacuum vector(s)ϱ ω − such that\((\Omega _\omega ^ - ,\varrho _\omega ^ - (\chi )\Omega _\omega ^ - ) = 0\) for any coupling constant andx ∈R.