We study a particle on a ring in presence of various dissipative environments. We develop and solve a variational scheme assuming low-frequency dominance. Our solution produces a renormalization-group (RG) transformation to all orders in the inverse dissipation strength and, in particular, reproduces known two-loop results. Our RG leads to a weak dissipation parameter, for which a weak-coupling expansion for the position correlation function shows a 1/ τ2 decay in imaginary time.
|Journal||Physical Review B - Condensed Matter and Materials Physics|
|State||Published - 19 Oct 2010|