On Asymptotic Hamiltonian for SU(N) Matrix Theory

Details On Asymptotic Hamiltonian for SU(N) Matrix Theory On Asymptotic Hamiltonian for SU(N) Matrix Theory

1998-05-09

arxiv.org/abs/hep-th/9805046v4

JHEP 9810:018,1998

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Latex; v2: a reference added; v3: References to the papers by M.B. Green and M. Gutperle are added. The complete cal

Scientific paper

10.1088/1126-6708/1998/10/018

We compute the leading contribution to the effective Hamiltonian of SU(N) matrix theory in the limit of large separation. We work with a gauge fixed Hamiltonian and use generalized Born-Oppenheimer approximation, extending the recent work of Halpern and Schwartz for SU(2). The answer turns out to be a free Hamiltonian for the coordinates along the flat directions of the potential. Applications to finding ground state candidates and calculation of the correction (surface) term to Witten index are discussed.

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