# HEP/Astro Seminar -- Wednesday, 14 March 2001

##
Two-point stress-tensor correlator in N=1 SYM(2+1)

## Abstract

Recent advances in string theory have highlighted the need
for reliable numerical methods to calculate correlators
at strong coupling in supersymmetric theories. We present a calculation
of the correlator
⟨0|*T*^{++}(*r*)*T*^{++}(0)|0⟩
in *N*=1 SYM theory in 2+1 dimensions. The numerical method we use
is supersymmetric discrete light-cone quantization (SDLCQ),
which preserves the supersymmetry at every order of the approximation
and treats fermions and bosons on the same footing. This calculation
is done at large *N*_{c}. For small and intermediate
*r* the correlator converges rapidly for all couplings.
At small *r* the correlator behaves like 1/*r*^{6},
as expected from conformal field theory. At large *r*
the correlator is dominated by the BPS states of the theory. There is,
however, a critical value of the coupling where the large-*r*
correlator goes to zero, suggesting that the large-*r* correlator
can only be trusted to some finite coupling which depends
on the transverse resolution. We find that this critical coupling grows
linearly with the square root of the transverse momentum resolution.

## Reference

J. R. Hiller, S. Pinsky and U. Trittmann,
*``Two-point stress-tensor correlator in N=1 SYM(2+1),''*
hep-th/0101120.

## 15:30, Smith Lab 4079

George T. Fleming
(
gfleming@mps.ohio-state.edu
),
last updated 06 March 2001.