Effective Mass of the Polaron: A Lower Bound

We show that the effective mass of the Frohlich Polaron is bounded below by C alpha(2/5) for some constant c > 0 and for all coupling constants alpha. The proof uses the point process representation of the path measure of the Frohlich Polaron.

Automated summary

We demonstrate that the effective mass of the Frohlich Polaron is bounded below by C alpha(2/5), where C > 0 is a constant and alpha is a coupling constant. The proof utilizes the point process representation of the path measure of the Frohlich Polaron.