Wegner-Houghton equation in low dimensions
High Energy Physics - Theory
2009-10-31 v2
Abstract
We consider scalar field theories in dimensions lower than four in the context of the Wegner-Houghton renormalization group equations (WHRG). The renormalized trajectory makes a non-perturbative interpolation between the ultraviolet and the infrared scaling regimes. Strong indication is found that in two dimensions and below the models with polynomial interaction are always non-perturbative in the infrared scaling regime. Finally we check that these results do not depend on the regularization and we develop a lattice version of the WHRG in two dimensions.
Cite
@article{arxiv.hep-th/9904093,
title = {Wegner-Houghton equation in low dimensions},
author = {J. M. Carmona and J. Polonyi and A. Tarancon},
journal= {arXiv preprint arXiv:hep-th/9904093},
year = {2009}
}
Comments
44 pages, 9 figures; some sections revised, refs. added; final version to appear in Phys. Rev. D