1992/12/08 by B. S. Balakrishna, Balakrishna, B. S.
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Spectral Theory in Mathematical Physics #advanced mathematical theories #hep-lat #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9212053
8 pages, COLO-HEP/295, AZPH-TH/92-43
arxiv created 1992/12/08 · openalex publication_date 1992/12/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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≥ 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.