SYM Description of SFT Hamiltonian in a PP-Wave Background

Details SYM Description of SFT Hamiltonian in a PP-Wave Background SYM Description of SFT Hamiltonian in a PP-Wave Background

2002-10-16

arxiv.org/abs/hep-th/0210153v2

Nucl.Phys. B659 (2003) 179-192

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, Latex. References corrected, clarifications added

Scientific paper

10.1016/S0550-3213(03)00220-7

We compute string field theory Hamiltonian matrix elements and compare them with matrix elements of the dilatation operator in gauge theory. We get precise agreement between the string field theory and gauge theory computations once the correct cubic Hamiltonian matrix elements in string field theory and a particular basis of states in gauge theory are used. We proceed to compute the matrix elements of the dilatation operator to order g_2^2 in this same basis. This calculation makes a prediction for string field theory Hamiltonian matrix elements to order g_2^2, which have not yet been computed. However, our gauge theory results precisely match the results of the recent computation by Pearson et al. of the order g_2^2 Hamiltonian matrix elements of the string bit model.

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