Towards computational insights into the large-scale structure of spin foams

Abstract

Understanding the large-scale physics is crucial for the spin foam approach to quantum gravity. We tackle this challenge from a statistical physics perspective using simplified, yet feature-rich models. In particular, this allows us to explicitly answer whether broken symmetries will be restored by renormalization: We observe a weak phase transition in both Migdal-Kadanoff and tensor network renormalization. In this work we give a concise presentation of the concepts, results and promises of this new direction of research.

10 pages, 9 figures, to be published in proceedings of the Loops'11 Madrid international conference on quantum gravity

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Cited by in corpus (13)

• Decorated tensor network renormalization for lattice gauge theories and spin foam models
• From the discrete to the continuous - towards a cylindrically consistent dynamics
• Anisotropic Tensor Renormalization Group
• Holonomy Spin Foam Models: Definition and Coarse Graining
• Towards a phase diagram for spin foams
• Time evolution as refining, coarse graining and entangling
• Coarse graining of spin net models: dynamics of intertwiners
• Quantum group spin nets: refinement limit and relation to spin foams
• Bond-weighted Tensor Renormalization Group
• Pachner moves in a 4d Riemannian holomorphic Spin Foam model
• Three-dimensional finite temperature Z${}_2$ gauge theory with tensor network scheme
• Coupled intertwiner dynamics: A toy model for coupling matter to spin foam models
• On the space of generalized fluxes for loop quantum gravity