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25 April 2024
 
  » arxiv » hep-th/9705091

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A Two-Loop Test of M(atrix) Theory
Katrin Becker ; Melanie Becker ;
Date 14 May 1997
Journal Nucl.Phys. B506 (1997) 48-60
Subject hep-th
AbstractWe 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.
Source arXiv, hep-th/9705091
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