## On asymptotic Hamiltonian for $$\text{SU}(N)$$ Matrix theory.(English)Zbl 0955.81042

Summary: 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.

### MSC:

 81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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