Perturbative construction of the two-dimensional O(N) non-linear sigma model with ERG

Details Perturbative construction of the two-dimensional O(N) non-linear sigma model with ERG Perturbative construction of the two-dimensional O(N) non-linear sigma model with ERG

2009-10-02

arxiv.org/abs/0910.0351v1

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 4 figures

Scientific paper

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.

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