An algebraic approach to coarse graining

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dc.creatorMarkopoulou, Fotini
dc.date2000-06-26
dc.date.accessioned2026-07-07T04:10:05Z
dc.date.available2026-07-07T04:10:05Z
dc.descriptionWe propose that Kreimer's method of Feynman diagram renormalization via a Hopf algebra of rooted trees can be fruitfully employed in the analysis of block spin renormalization or coarse graining of inhomogeneous statistical systems. Examples of such systems include spin foam formulations of non-perturbative quantum gravity as well as lattice gauge and spin systems on irregular lattices and/or with spatially varying couplings. We study three examples which are Z_2 lattice gauge theory on irregular 2-dimensional lattices, Ising/Potts models with varying bond strengths and (1+1)-dimensional spin foam models.
dc.descriptionLatex, 20 pages, 12 eps figures
dc.identifierhttps://arxiv.org/abs/hep-th/0006199
dc.identifierhttp://arxiv.org/abs/hep-th/0006199
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50095
dc.subjectHigh Energy Physics - Theory
dc.subjectCondensed Matter
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Lattice
dc.titleAn algebraic approach to coarse graining
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