Abstract
We construct a continuum limit for the effective low energy Lagrangians of the Gross-Neveu model in two euclidean dimensions by showing that they are related to each other through convergent perturbation expansions. This provides a rigorous control of the ultraviolet problem in a renormalizable quantum field theory.
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Communicated by A. Jaffe
Supported in part by the National Science Foundation under Grant MCS-81-20833
Supported in part by the National Science Foundation under Grant PHY-82-03669
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Gawçdzki, K., Kupiainen, A. Gross-Neveu model through convergent perturbation expansions. Commun.Math. Phys. 102, 1–30 (1985). https://doi.org/10.1007/BF01208817
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DOI: https://doi.org/10.1007/BF01208817