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

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

2004-05-18

arxiv.org/abs/hep-lat/0405016v1

Phys.Rev. D70 (2004) 035011

Physics

High Energy Physics

High Energy Physics - Lattice

32 pages, 12 figures

Scientific paper

10.1103/PhysRevD.70.035011

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.

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