On Asymptotic Hamiltonian for SU(N) Matrix Theory
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9805046,
title = {On Asymptotic Hamiltonian for SU(N) Matrix Theory},
author = {A. Konechny},
journal= {arXiv preprint arXiv:hep-th/9805046},
year = {2010}
}
Comments
13 pages, Latex; v2: a reference added; v3: References to the papers by M.B. Green and M. Gutperle are added. The complete calculation of the Witten index for SU(N) matrix theory follows from combination of the results of our paper with the results of M.B. Green and M. Gutperle and the results obtained by G. Moore, N. Nekrasov, and S. Shatashvili