Higher-derivative terms in one-loop effective action for general trajectories of D-particles in Matrix theory

Details Higher-derivative terms in one-loop effective action for general trajectories of D-particles in Matrix theory Higher-derivative terms in one-loop effective action for general trajectories of D-particles in Matrix theory

1999-03-02

arxiv.org/abs/hep-th/9903025v2

Nucl.Phys. B552 (1999) 447-460

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, LaTeX2e, no figures, v2: a coefficient in (3.32) and the corresponding one in (3.33) corrected and a minor change

Scientific paper

10.1016/S0550-3213(99)00266-7

The one-loop effective action for general trajectories of D-particles in Matrix theory is calculated in the expansion with respect to the number of derivatives up to six, which gives the equation of motion consistently. The result shows that the terms with six derivatives vanish for straight-line trajectories, however, they do not vanish in general. This provides a concrete example that non-renormalization of twelve-fermion terms does not necessarily imply that of six-derivative terms.

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