Renormalization of the Periodic Scalar Field Theory by Polchinski's Renormalization Group Method

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dc.creatorNandori, I.
dc.creatorSailer, K.
dc.creatorJentschura, U. D.
dc.creatorSoff, G.
dc.date2002-02-18
dc.date.accessioned2026-07-07T10:53:45Z
dc.date.available2026-07-07T10:53:45Z
dc.descriptionThe renormalization group (RG) flow for the two-dimensional sine-Gordon model is determined by means of Polchinski's RG equation at next-to-leading order in the derivative expansion. In this work we have two different goals, (i) to consider the renormalization scheme-dependence of Polchinski's method by matching Polchinski's equation with the Wegner-Houghton equation and with the real space RG equations for the two-dimensional dilute Coulomb-gas, (ii) to go beyond the local potential approximation in the gradient expansion in order to clarify the supposed role of the field-dependent wave-function renormalization. The well-known Coleman fixed point of the sine-Gordon model is recovered after linearization, whereas the flow exhibits strong dependence on the choice of the renormalization scheme when non-linear terms are kept. The RG flow is compared to those obtained in the Wegner-Houghton approach and in the dilute gas approximation for the two-dimensional Coulomb-gas.
dc.description14 pages, LaTeX, 1 figure; J. Phys. G (in press)
dc.identifierhttps://arxiv.org/abs/hep-th/0202113
dc.identifierhttp://arxiv.org/abs/hep-th/0202113
dc.identifierJ.Phys.G28:607-616,2002
dc.identifierdoi:10.1088/0954-3899/28/4/302
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185590
dc.subjectHigh Energy Physics - Theory
dc.titleRenormalization of the Periodic Scalar Field Theory by Polchinski's Renormalization Group Method
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