LARGE N GAUGE THEORIES - NUMERICAL RESULTS

摘要

The large N limit of four dimensional non-abelian gauge theories is interesting from the view point of QCD phenomenology 1 and string theory 2. Lattice QCD is a useful technique for extracting fundamental results in the large N limit of QCD, Fermions are naturally quenched in the 't Hooft limit of large N QCD and this significantly reduces the computational cost in a lattice calculation. In addition, there is a concept of continuum reduction 3, namely, physics does not depend on the size of box Z4 for I > lc and lc is a physical critical size. These two observations have been used to extract physical results in the large N limit of QCD using numerical techniques on the lattice.