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Perturbative construction of the two-dimensional O(N) non-linear sigma model with ERG
We use the exact renormalization group (ERG) perturbatively to construct the
Wilson action for the two-dimensional O(N) non-linear sigma model. The
construction amounts to regularization of a non-linear symmetry with a momentum
cutoff. A quadratically divergent potential is generated by the momentum
cutoff, but its non-invariance is compensated by the jacobian of the non-linear
symmetry transformation.Comment: 16 pages, 4 figure
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