Improved semiclassical model for real-time evaporation of matrix black holes

In this paper, we study real-time classical matrix mechanics of a simplified [Formula: see text] model inspired by the black hole evaporation problem. This is step towards making quantitative hole, which realized as bound state D0-branes in string theory. The reduction Yang–Mills dimension to dimensions, has been corrected with an additional potential that can be interpreted zero-point energy for fermions. Our goal understand lifetime such object regime. To do so, pay particular attention when text]-particles separate check “off-diagonal modes” matrices become adiabatic and use information improve on existing models evaporation. It turns out naive expectation value fermionic correction infinite. logarithmic divergence arises from very large excursions separation between branes near threshold behavior lets us get some analytic control dynamics regime estimate. cutoff quantum theory due quantization parameter, resulting long state, parametric dependence order text].