The λφ43 Euclidean quantum field theory in a periodic box

Abstract

The ultraviolet cutoff (the lattice cutoff) normalized Schwinger functions converge as the ultraviolet cutoff (the lattice cutoff) is removed. The limit Schwinger functions are the moments of the normalized physical measure. As a consequence of the lattice approximation, the Lee–Yang theorem and various correlation inequalities hold for the λφ⁴₃ field theory in a periodic box.