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arXiv · hep-th/9212053

Double Scaling Limit of Scalar Theories on the Lattice

B. S. Balakrishna
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Abstract

Scalar field theories regularized on a $D$ dimensional lattice are found to exhibit double scaling for a class of critical behaviors labeled by an integer $m\geq 2$. The continuum theory reached in the double scaling limit defines a universality class and is of a massless scalar with only a $m+1$ point self-interaction, but in the presence of a constant source. The upper critical dimension for this to occur is the same as that for renormalizability of the $m+1$ point interaction.

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B. S. Balakrishna. 1992-12-08. Double Scaling Limit of Scalar Theories on the Lattice. https://arxiv.org/abs/hep-th/9212053

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