Two-point stress-tenser correlator in N=1, (2+1)-dimensional super Yang-Mills theory - art. no. 105017

Recent advances in string theory have highlighted the need for reliable num erical methods to calculate correlators at strong coupling in supersymmetri c theories. We present a calculation of the correlator [0\T++(r)T++(0)\0] i n N = 1 super Yang-Mills theory in 2 + 1 dimensions. The numerical method w e use is supersymmetric discrete light-cone quantization, which preserves t he supersymmetry at every order of the approximation and treats fermions an d bosons on the same footing. This calculation is done at large N-c. For sm all and intermediate r the correlator converges rapidly for all couplings. At small r the correlator behaves like 1/r(6), as expected from conformal f ield theory. At large r the correlator is dominated by the BPS states of th e theory. There is, however, a critical value of the coupling where the lar ge-r correlator goes to zero, suggesting that the large-r correlator can on ly be trusted to some finite coupling which depends on the transverse resol ution. We find that this critical coupling grows linearly with the square r oot of the transverse momentum resolution.