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arXiv · hep-th/9705091

A Two-Loop Test of M(atrix) Theory

Katrin Becker·Melanie Becker
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Abstract

We consider the scattering of two Dirichlet zero-branes in M(atrix) theory. Using the formulation of M(atrix) theory in terms of ten-dimensional super Yang-Mills theory dimensionally reduced to $(0+1)$-dimensions, we obtain the effective (velocity dependent) potential describing these particles. At one-loop we obtain the well known result for the leading order of the effective potential $V_{eff}\sim v^4/r^7$, where $v$ and $r$ are the relative velocity and distance between the two zero-branes respectively. A calculation of the effective potential at two-loops shows that no renormalizations of the $v^4$-term of the effective potential occur at this order.

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Katrin Becker, Melanie Becker. 1997-08-29. A Two-Loop Test of M(atrix) Theory. https://doi.org/10.1016/s0550-3213(97)00518-x

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