Phase diagram of the lattice Wess-Zumino model from rigorous lower bounds on the energy

Abstract

We study the lattice N=1 Wess-Zumino model in two dimensions and we construct a sequence ${\rho }^{(L)}$ of exact lower bounds on its ground state energy density $\rho$, converging to $\rho$ in the limit $L\to \infty$. The bounds ${\rho }^{(L)}$ can be computed numerically on a finite lattice with $L$ sites and can be exploited to discuss dynamical symmetry breaking. The transition point is determined and compared with recent results based on large-scale Green Function Monte Carlo simulations with good agreement.

32 pages, 12 figures