Renormalisation of fluctuation effects in the A+A to A reaction

Abstract

The field theoretical description of the A+A to A reaction is exactly renormalised to all orders in perturbation theory. It is confirmed that it belong to the same universality class as the A+A to OE reaction, and that the concentration decay like t-d/2 for space dimensionality d smaller than two and like (ln t/t) for d=2 are exact results.