arXiv:0910.0351 Abstract | arXiv Analytics

arXiv:0910.0351 [hep-th]Abstract References Reviews Resources

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

Published 2009-10-02Version 1

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.

Comments: 16 pages, 4 figures

Categories: hep-th

Subjects: 11.30.Na, 11.10.Gh, 11.10.Kk

Keywords: non-linear sigma model, perturbative construction, two-dimensional, momentum cutoff, non-linear symmetry transformation

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