Please use this identifier to cite or link to this item: http://hdl.handle.net/11144/3102
 Title: Polchinski ERG equation and 2D scalar field theory Authors: Kubyshin, YuriNeves, RuiPotting, Robertus Keywords: High Energy PhysicsTheory 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 URI: http://hdl.handle.net/11144/3102 ISBN: 981-02-3939-4978-981-4543-57-6 Publisher version: http://www.worldscientific.com/worldscibooks/10.1142/4159 Appears in Collections: DCT - Artigos/Papers

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