Beta Functions in the Integral Equation Approach to the Exact Renormalization Group
Abstract
We incorporate running parameters and anomalous dimensions into the framework of the exact renormalization group. We modify the exact renormalization group differential equations for a real scalar field theory, using the anomalous dimensions of the squared mass and the scalar field. Following a previous paper in which an integral equation approach to the exact renormalization group was introduced, we reformulate the modified differential equations as integral equations that define the continuum limit directly in terms of a running squared mass and selfcoupling constant. Universality of the continuum limit under an arbitrary change of the momentum cutoff function is discussed using the modified exact renormalization group equations.
 Publication:

arXiv eprints
 Pub Date:
 February 2003
 DOI:
 10.48550/arXiv.hepth/0302044
 arXiv:
 arXiv:hepth/0302044
 Bibcode:
 2003hep.th....2044S
 Keywords:

 High Energy Physics  Theory
 EPrint:
 40 pages, 4 figures, LaTeX2e with REVTEX4