Renormalizable non-renormalizable theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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28 pages, 8 figures, added Ref. 3, typos in Appendix B.2 corrected

Scientific paper

The general prescription for constructing the continuum limit of a field
theory is introduced. We then apply the prescription to construct the O(N)
non-linear sigma model and the Gross-Neveu model in three dimensions using the
large N expansions. We compare these non-linear models with the linearized
models, and show the equivalence.

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