On the renormalization of the sine-Gordon model

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dc.creatorBozkaya, H.
dc.creatorFaber, M.
dc.creatorIvanov, A. N.
dc.creatorPitschmann, M.
dc.date2005-05-31
dc.date.accessioned2026-07-07T04:18:22Z
dc.date.available2026-07-07T04:18:22Z
dc.descriptionWe analyse the renormalizability of the sine-Gordon model by the example of the two-point Green function up to second order in alpha_r(M), the dimensional coupling constant defined at the normalization scale M, and to all orders in beta^2, the dimensionless coupling constant. We show that all divergences can be removed by the renormalization of the dimensional coupling constant using the renormalization constant Z_1, calculated in (J.Phys.A36,7839(2003)) within the path-integral approach. We show that after renormalization of the two-point Green function to first order in alpha_r(M) and to all orders in beta^2 all higher order corrections in alpha_r(M) and arbitrary orders in beta^2 can be expressed in terms of alpha_ph, the physical dimensional coupling constant independent on the normalization scale M. We solve the Callan-Symanzik equation for the two-point Green function. We analyse the renormalizability of Gaussian fluctuations around a soliton solution.We show that Gaussian fluctuations around a soliton solution are renormalized like quantum fluctuations around the trivial vacuum to first orders in alpha_r(M) and beta^2 and do not introduce any singularity to the sine-Gordon model at beta^2 = 8pi.
dc.description33 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0505276
dc.identifierhttp://arxiv.org/abs/hep-th/0505276
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53152
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectMathematical Physics
dc.titleOn the renormalization of the sine-Gordon model
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