Polchinski equation, reparameterization invariance and the derivative expansion
High Energy Physics - Theory
2009-10-30 v2 High Energy Physics - Lattice
High Energy Physics - Phenomenology
Abstract
The connection between the anomalous dimension and some invariance properties of the fixed point actions within exact RG is explored. As an application, Polchinski equation at next-to-leading order in the derivative expansion is studied. For the Wilson fixed point of the one-component scalar theory in three dimensions we obtain the critical exponents \eta=0.042, \nu=0.622 and \omega=0.754.
Cite
@article{arxiv.hep-th/9705129,
title = {Polchinski equation, reparameterization invariance and the derivative expansion},
author = {Jordi Comellas},
journal= {arXiv preprint arXiv:hep-th/9705129},
year = {2009}
}
Comments
28 pages, LaTeX with psfig, 12 encapsulated PostScript figures. A number wrongly quoted in the abstract corrected