Effective Dynamics of the Matrix Big Bang

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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22 pages, LaTeX; some minor changes; an improved discussion of the potential

Scientific paper

10.1103/PhysRevD.73.106005

We study the leading quantum effects in the recently introduced Matrix Big Bang model. This amounts to a study of supersymmetric Yang-Mills theory compactified on the Milne orbifold. We find a one-loop potential that is attractive near the Big Bang. Surprisingly, the potential decays very rapidly at late times, where it appears to be generated by D-brane effects. Usually, general covariance constrains the form of any effective action generated by renormalization group flow. However, the form of our one-loop potential seems to violate these constraints in a manner that suggests a connection between the cosmological singularity and long wavelength, late time physics.

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