TY - JOUR

T1 - Two-point stress-tensor correlator in N=1, (2+1)-dimensional super Yang-Mills theory

AU - Hiller, J. R.

N1 - Copyright:
Copyright 2006 Elsevier B.V., All rights reserved.

PY - 2001

Y1 - 2001

N2 - 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+ (r)r++(0)|0) in A/= 1 super Yang-Mills theory in 2+1 dimensions. The numerical method we use is supersymmetric discrete light-cone quantization, 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 Nc. For small and intermediate r the correlator converges rapidly for all couplings. At small r the correlator behaves like I//-6, as expected from conformai 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-/- 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.

AB - 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+ (r)r++(0)|0) in A/= 1 super Yang-Mills theory in 2+1 dimensions. The numerical method we use is supersymmetric discrete light-cone quantization, 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 Nc. For small and intermediate r the correlator converges rapidly for all couplings. At small r the correlator behaves like I//-6, as expected from conformai 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-/- 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.

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U2 - 10.1103/PhysRevD.63.105017

DO - 10.1103/PhysRevD.63.105017

M3 - Article

AN - SCOPUS:0034904489

VL - 63

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 10

M1 - 105017

ER -