Double Scaling Limit of Scalar Theories on the Lattice
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 selfinteraction, 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.
 Publication:

arXiv eprints
 Pub Date:
 December 1992
 arXiv:
 arXiv:hepth/9212053
 Bibcode:
 1992hep.th...12053B
 Keywords:

 High Energy Physics  Lattice;
 High Energy Physics  Theory
 EPrint:
 8 pages, COLOHEP/295, AZPHTH/9243