Bohr-Sommerfeld quantization of space

Eugenio Bianchi, Hal M. Haggard

Research output: Contribution to journalArticlepeer-review

33 Scopus citations


We introduce semiclassical methods into the study of the volume spectrum in loop gravity. The classical system behind a 4-valent spin network node is a Euclidean tetrahedron. We investigate the tetrahedral volume dynamics on phase space and apply Bohr-Sommerfeld quantization to find the volume spectrum. The analysis shows a remarkable quantitative agreement with the volume spectrum computed in loop gravity. Moreover, it provides new geometrical insights into the degeneracy of this spectrum and the maximum and minimum eigenvalues of the volume on intertwiner space.

Original languageEnglish (US)
Article number124010
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number12
StatePublished - Dec 3 2012

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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