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We show that a transformed Caldeira-Leggett Hamltonian has two distinctfamilies of fixed points, rather than a single unique fixed point as oftenconjectured based on its connection to the anisotropic Kondo model. The twofamilies are distinguished by a sharp qualitative difference in their quantumcoherence properties and we argue that this distinction is best understood asthe result of a transition in the model between degeneracy and non-degeneracyin the spectral function of the ``spin-flip'' operator.Comment: some typos corrected and a reference adde

Transition between quantum coherence and incoherence