The Transverse Lattice in 2+1 Dimensions
Based on an idea due to Bardeen and Pearson, we formulate the light-front Hamiltonian problem for SU(N) Yang-Mills theory in (2+1)-dimensions using two continuous space-time dimensions with the remaining space dimension discretized on a lattice. We employ analytic and numerical methods to investigate the string tension and the glue-ball spectrum in the N → ∞ limit. Our preliminary results show qualitative agreement with recent Euclidean lattice Monte Carlo simulations. In the following, we attempt to give a more pedagogical introduction to the idea of the transverse lattice; more detail may be found in Ref. .
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