Supersymmetry on a lattice
- 15 August 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 28 (4), 818-829
- https://doi.org/10.1103/physrevd.28.818
Abstract
We develop Lagrangian and Hamiltonian lattice formulations of the Wess-Zumino model which preserve the superalgebra. We check that the lattice model passes into the continuum model in the zero-lattice-spacing limit, and obtain various perturbative results (nonrenormalization, effective-potential loop expansion) on the lattice. We study the phase structure with the one-loop effective potential and find dynamical symmetry breaking at large coupling in two dimensions, but not in four dimensions. Separately, we evaluate the strong-coupling limit in the Hamiltonian formulation and confirm the accuracy of the one-loop effective-potential predictions. Our methods should apply to certain other supersymmetric theories.Keywords
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