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arXiv · hep-th/9904093

Wegner-Houghton equation in low dimensions

J. M. Carmona·J. Polonyi·A. Tarancon
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Abstract

We consider scalar field theories in dimensions lower than four in the context of the Wegner-Houghton renormalization group equations (WHRG). The renormalized trajectory makes a non-perturbative interpolation between the ultraviolet and the infrared scaling regimes. Strong indication is found that in two dimensions and below the models with polynomial interaction are always non-perturbative in the infrared scaling regime. Finally we check that these results do not depend on the regularization and we develop a lattice version of the WHRG in two dimensions.

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J. M. Carmona, J. Polonyi, A. Tarancon. 2000-01-18. Wegner-Houghton equation in low dimensions. https://doi.org/10.1103/physrevd.61.085018

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