Numerical computation of the renormalized effective potential in the strong-coupling limit

Abstract

This is the second of three papers on the strong-coupling expansion of the renormalized effective potential in $g{\ensuremath{\varphi}}^{4}$ quantum field theory in $d$-dimensional Euclidean space-time. After a general discussion of our renormalization program, we perform a mass renormalization for each of the two lattice strong-coupling expansions for the wave-function renormalized effective potential that were computed in the previous paper. We describe strategies for obtaining the continuum limit of the renormalized lattice strong-coupling expansions in the limit $g\ensuremath{\rightarrow}\ensuremath{\infty}$. The results of extensive numerical calculations are reported for the leading term in the renormalized strong-coupling expansion for the coefficients of the effective potential.