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

References in corpus (8)

• Exact ground states of generalized Hubbard models
• Supersymmetry on the lattice
• Supersymmetry breaking in two dimensions: the lattice N=1 Wess-Zumino model
• Improved stability regions for ground states of the extended Hubbard model
• Hamiltonian Monte Carlo simulation of the two-dimensional Wess-Zumino model
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Cited by in corpus (16)

• Deconstruction and other approaches to supersymmetric lattice field theories
• Lattice formulation of $\mathcal{N}=4$ super Yang-Mills theory
• Lattice supersymmetry, superfields and renormalization
• Simulations of $\mathcal{N}=2$ super Yang-Mills theory in two dimensions
• Supersymmetry breaking and Nambu-Goldstone fermions with cubic dispersion
• Supersymmetry Breaking and Nambu-Goldstone Fermions in Interacting Majorana Chains
• Supersymmetric nonperturbative formulation of the WZ model in lower dimensions
• Phase Diagram and Fixed-Point Structure of two dimensional N=1 Wess-Zumino Models
• Supersymmetry breaking as a quantum phase transition
• Supersymmetry breaking and Nambu-Goldstone fermions in an extended Nicolai model
• Exact lattice Ward-Takahashi identity for the N=1 Wess-Zumino model
• Spontaneous supersymmetry breaking in the two-dimensional N=1 Wess-Zumino model
• Matrix formulation of superspace on 1D lattice with two supercharges
• Supersymmetry breaking on the lattice: the N=1 Wess-Zumino model
• Majorana fermions and CP-invariance of chiral gauge theories on the lattice
• Two-loop Wess-Zumino model with exact supersymmetry on the lattice