Abstract
We consider theφ 43 quantum field theory on a torus and study the short distance behavior. We reproduce the standard result that the singularities can be removed by a simple mass renormalization. For the resulting model we give anL p bound on the short distance regularity of the correlation functions. To obtain these results we develop a systematic treatment of the generating functional for correlations using a renormalization group method incorporating background fields.
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Communicated by A. Jaffe
Research supported by NSF Grant DMS 9102564
Research supported by NSF Grant PHY9200278.
Research supported by the Natural Sciences and Engineering Research Council of Canada.
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Brydges, D., Dimock, J. & Hurd, T.R. The short distance behavior of (φ 4)3 . Commun.Math. Phys. 172, 143–186 (1995). https://doi.org/10.1007/BF02104514
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DOI: https://doi.org/10.1007/BF02104514