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Title: Polchinski ERG equation and 2D scalar field theory
Authors: Kubyshin, Yuri
Neves, Rui
Potting, Robertus
Keywords: High Energy Physics
Issue Date: 16-Nov-1998
Publisher: World Scientific
Citation: Kubyshin, Y., Neves, R., & Potting, R. (1999). Polchinski ERG equation and 2D scalar field theory. In A. Krasnitz, Y. Kubyshin, R. Potting & P. Sá (Eds.), The Exact Renormalization Group: Proceedings of the workshop (pp. 159-167)
Abstract: 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.
Peer Reviewed: yes
ISBN: 981-02-3939-4
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Appears in Collections:DCT - Artigos/Papers

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