The transverse lattice in 2+1 dimensions
Brett van de Sande, Simon Dalley
Abstract
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 glueball spectrum in the large N limit. Our preliminary results show qualitative agreement with recent Euclidean lattice Monte Carlo simulations.
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