Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-12-16
Nucl.Phys.B532:227-244,1998
Physics
High Energy Physics
High Energy Physics - Theory
18 pages LaTeX; v2: sign error fixed, references added, minor textual clarification
Scientific paper
10.1016/S0550-3213(98)00469-6
We consider subleading terms in the one-loop Matrix theory potential between a classical membrane state and a supergraviton. Nontrivial terms arise at order v/r^8 and v^3/r^8 which are proportional to the angular momentum of the membrane state. The effective potential for a graviton moving in a boosted Kerr-type metric is computed and shown to agree precisely with the Matrix theory calculation at leading order in the long-distance expansion for each power of the graviton velocity. This result generalizes to arbitrary order; we show that terms in the membrane-graviton potential corresponding to nth moments of the membrane stress-energy tensor are reproduced correctly to all orders in the long-distance expansion by terms of the form F^4 X^n in the one-loop Matrix theory calculation.
Raamsdonk Mark Van
Taylor Washington
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