English

Correlators in N=1 SYM(2+1)

High Energy Physics - Theory 2007-05-23 v1

Abstract

We present a calculation of the correlator <0|T^{++}(r) T^{++}(0) |0> in N=1 SYM theory in 2+1 dimensions. In the calculation, we use supersymmetric discrete light-cone quantization (SDLCQ), which preserves the supersymmetry at every step of the calculation. For small and intermediate r the correlator converges rapidly for all couplings. At small r the correlator behaves like 1/r^6, as expected. At large r the correlator is dominated by the BPS states of the theory. We find a critical coupling where the large-r correlator goes to zero; it grows like the square root of the transverse cutoff.

Keywords

Cite

@article{arxiv.hep-th/0104265,
  title  = {Correlators in N=1 SYM(2+1)},
  author = {Uwe Trittmann},
  journal= {arXiv preprint arXiv:hep-th/0104265},
  year   = {2007}
}

Comments

4pp., 4 figures; contribution to the PASCOS 2001 symposium, to appear in the proceedings, Rinton Press, Princeton