PP wave string interactions from string bit model

Aug, 2002
22 pages
Published in:
  • Phys.Rev.D 67 (2003) 026010
e-Print:

Citations per year

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Abstract:
We construct the string states OpJ>J|O_{p}^J>_J, OqJ1>J1J2|O_{q}^{J_1}>_{{J_1}{J_2}} and O0J1J2>J1J2|O_{0}^{J_{1}J_{2}}>_{{J_1}{J_2}} in the Hilbert space of the quantum mechanical orbifold model so as to calculate the three point functions and the matrix elements of the light-cone Hamiltonian from the interacting string bit model. With these string states we show that the three point functions and the matrix elements of the Hamiltonian derived from the interacting string bit model up to g22g^{2}_2 order precisely match with those computed from the perturbative SYM theory in BMN limit.
Note:
  • 20 pages, no figure, LaTeX, some changes made and references added
  • 11.15.-q
  • 11.25.-w
  • string model
  • supersymmetry
  • orbifold
  • phase space: Hilbert space
  • vertex function
  • scattering amplitude
  • perturbation theory: higher-order
  • operator: algebra