2000/06/26 by Fotini Markopoulou, Markopoulou, Fotini · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Condensed Matter (cond-mat) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions #cond-mat #gr-qc #hep-lat #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0006199
Latex, 20 pages, 12 eps figures
arxiv created 2000/06/26 · openalex publication_date 2000/06/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We 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 Z2 lattice gauge theory on irregular 2-dimensional lattices, Ising/Potts models with varying bond strengths and (1+1)-dimensional spin foam models.