A convergence theorem is proved, which states sufficient conditions for the existence of the continuum limit for a wide class of Feynman integrals on a space-time lattice. A new kind of a… Expand

In an Euclidean quantum field theory a space-time lattice provides a quite natural non-perturbative ultraviolet cutoff. This has lead to a variety of non-perturbative methods. Observable physics has… Expand

It is shown that for non-vanishing lattice spacing, conventional infrared power counting conditions are sufficient for convergence of lattice Feynman integrals with zero-mass propagators. If these… Expand

A perturbative renormalization procedure is proposed which applies to massive field theories on a space-time lattice and is analogous to the BPHZ finite part prescription for continuum Feynman… Expand

Linked cluster expansions are generalized from an infinite to a finite volume. They are performed to 20th order in the expansion parameter to approach the critical region from the symmetric phase. A… Expand