A non-local field theory derived from wave-function matching at an impurity yields UV-convergent conductance and a frequency-power RG analysis that differs from poor-man's scaling in Luttinger liquids.
Destruction of long-range order in one-dimensional and two-dimensional systems hav- ing a continuous symmetry group,
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Representation of the Luttinger Liquid with Single Point-like Impurity as a Field Theory for the Phase of Scattering
A non-local field theory derived from wave-function matching at an impurity yields UV-convergent conductance and a frequency-power RG analysis that differs from poor-man's scaling in Luttinger liquids.