Wegner-Houghton equation in low dimensions

Details Wegner-Houghton equation in low dimensions Wegner-Houghton equation in low dimensions

1999-04-13

arxiv.org/abs/hep-th/9904093v2

Phys.Rev. D61 (2000) 085018

Physics

High Energy Physics

High Energy Physics - Theory

44 pages, 9 figures; some sections revised, refs. added; final version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.61.085018

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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