Polchinski ERG equation and 2D scalar field theory

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dc.creatorKubyshin, Yuri
dc.creatorNeves, Rui
dc.creatorPotting, Robertus
dc.date1998-11-16
dc.date.accessioned2026-07-07T04:25:36Z
dc.date.available2026-07-07T04:25:36Z
dc.descriptionWe 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 $η$ and the correlation length critical exponent $ν$ showing that an accurate fit to conformal field theory selects particular regulating functions.
dc.description9 pages, latex with 2 figures, uses sprocl.sty. To be published in the Proceedings of the Workshop on the Exact Renormalization Group held in Faro, Portugal, in September 10-12 1998, World Scientific
dc.identifierhttps://arxiv.org/abs/hep-th/9811151
dc.identifierhttp://arxiv.org/abs/hep-th/9811151
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/55803
dc.subjectHigh Energy Physics - Theory
dc.titlePolchinski ERG equation and 2D scalar field theory
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