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gr-qcOct 1, 2010
5
citations (OpenAlex)
authors
  • Elena Magliaro
  • Claudio Perini
institutions
  • Pennsylvania State University
arXiv abstractPDF
paper

Local spin foams

arXiv:1010.5227 · doi:10.1142/S0218271812500903

Abstract

The central object of this paper is a holonomy formulation for spin foams. Within this new represen- tation, we analyze three general requirements: locality, composition law, cylindrical consistency. In particular, cylindrical consistency is shown to fix the arbitrary normalization of the vertex amplitude in the case of Euclidean signature.

9 pages, 8 figures, published version

References in corpus (10)

  • LQG vertex with finite Immirzi parameter
  • A new spinfoam vertex for quantum gravity
  • A New Spin Foam Model for 4d Gravity
  • A "general boundary" formulation for quantum mechanics and quantum gravity
  • The complete LQG propagator: I. Difficulties with the Barrett-Crane vertex
  • Group field theory renormalization - the 3d case: power counting of divergences
  • Lifting SU(2) Spin Networks to Projected Spin Networks
  • Face amplitude of spinfoam quantum gravity
  • In quantum gravity, summing is refining
  • Physical boundary Hilbert space and volume operator in the Lorentzian new spin-foam theory

Cited by in corpus (4)

  • Self-Energy of the Lorentzian EPRL-FK Spin Foam Model of Quantum Gravity
  • Holonomy Spin Foam Models: Definition and Coarse Graining
  • Spinfoam fermions
  • Transition probability spaces in loop quantum gravity
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