Exploring N=1 SYM(2+1): the Stress-Tensor Correlator

Details Exploring N=1 SYM(2+1): the Stress-Tensor Correlator Exploring N=1 SYM(2+1): the Stress-Tensor Correlator

2001-11-27

arxiv.org/abs/hep-th/0111248v1

Nucl.Phys.Proc.Suppl. 108 (2002) 160-164

Physics

High Energy Physics

High Energy Physics - Theory

5 pp., 6 figures, uses espcrc2.sty. Contribution to the International Workshop "Light-cone Physics: Particles and Strings", EC

Scientific paper

10.1016/S0920-5632(02)01321-X

The evaluation of field theoretic correlators at strong couplings is especially interesting in the light of recently discovered string/field theory correspondences. We present a calculation of the stress-tensor correlator in N=1 SYM theory in 2+1 dimensions. We calculate this object numerically with the method of supersymmetric discrete light-cone quantization (SDLCQ) at large N_c. For small distances we reproduce the conformal field theory result with the correlator behaving like 1/r^6. In the large r limit the correlator is determined by the (massless) BPS states of the theory. We find a critical value of the coupling where the correlator goes to zero in this limit. This critical coupling is shown to grow linearly with the square root of the transverse momentum resolution.

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