Polchinski ERG equation and 2D scalar field theory

Details Polchinski ERG equation and 2D scalar field theory Polchinski ERG equation and 2D scalar field theory

1998-11-16

arxiv.org/abs/hep-th/9811151v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, latex with 2 figures, uses sprocl.sty. To be published in the Proceedings of the Workshop on the Exact Renormalizatio

Scientific paper

We investigate a $Z_2$-symmetric scalar field theory in two dimensions using the Polchinski exact renormalization group equation expanded to second order in the derivative expansion. We find preliminary evidence that the Polchinski equation is able to describe the non-perturbative infinite set of fixed points in the theory space, corresponding to the minimal unitary series of 2D conformal field theories. We compute the anomalous scaling dimension $\eta$ and the correlation length critical exponent $\nu$ showing that an accurate fit to conformal field theory selects particular regulating functions.

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