Continuous-Spin Ising Model andλ:ϕ4:dField Theory

Abstract

Analysis of the high-temperature series expansions of a continuous-spin Ising model (i.e., a lattice $\lambda :{{\varphi }^4:}_d$ field theory) indicates that the strong-coupling limit of $\lambda :{{\varphi }^4:}_3$ is distinct from the critical-point theory of the continuous-spin Ising model for sufficiently Ising-like spin distributions. In four dimensions we find that the $\lambda :{\varphi }^4:$ field theory is trivial.