C Function Representation of the Local Potential Approximation
High Energy Physics - Theory
2009-10-30 v2
Abstract
Within the Local Potential Approximation to Wilson's, or Polchinski's, exact renormalization group, and for general spacetime dimension, we construct a function, c, of the coupling constants; it has the property that (for unitary theories) it decreases monotonically along flows, and is stationary only at fixed points ---where it `counts degrees of freedom', i.e. is extensive, counting one for each Gaussian scalar. Furthermore, by choosing restrictions to some sub-manifold of coupling constant space, we arrive at a very promising variational approximation method.
Cite
@article{arxiv.hep-th/9705088,
title = {C Function Representation of the Local Potential Approximation},
author = {Jacek Generowicz and Chris Harvey-Fros and Tim R. Morris},
journal= {arXiv preprint arXiv:hep-th/9705088},
year = {2009}
}
Comments
10 pages including one eps figure, uses harvmac and epsf; several minor typos corrected --- to be published in Physics Letters B