  We study the phase diagram and quantum critical properties of a resistively
shunted Josephson junction array in one dimension from a strong coupling
analysis. After mapping the dissipative quantum phase model to an effective
sine-Gordon model we study the renormalization group flow and the phase
diagram. We try to bridge the phase diagrams obtained from the weak and the
strong coupling renormalization group calculations to extract a more
comprehensive picture of the complete phase diagram. The relevance of our
theory to experiments in nanowires is discussed.
