Effective Dynamics of the Matrix Big Bang

TL;DR

This paper investigates quantum effects in the Matrix Big Bang model, revealing a one-loop potential that is attractive near the Big Bang and decays rapidly later, hinting at a link between singularity and late-time physics.

Contribution

It provides the first detailed analysis of quantum corrections in the Matrix Big Bang model, highlighting a unique potential behavior that challenges covariance constraints.

Findings

One-loop potential is attractive near the Big Bang.

Potential decays rapidly at late times.

Potential may be generated by D-brane effects.

Abstract

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.