Spinfoams in the holomorphic representation

Eugenio Bianchi, Elena Magliaro, Claudio Perini

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Abstract

We study a holomorphic representation for spinfoams. The representation is obtained via the Ashtekar-Lewandowski-Marolf-Mourão-Thiemann coherent state transform. We derive the expression of the 4d spinfoam vertex for Euclidean and for Lorentzian gravity in the holomorphic representation. The advantage of this representation rests on the fact that the variables used have a clear interpretation in terms of a classical intrinsic and extrinsic geometry of space. We show how the peakedness on the extrinsic geometry selects a single exponential of the Regge action in the semiclassical large-scale asymptotics of the spinfoam vertex.

Original languageEnglish (US)
Article number124031
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume82
Issue number12
DOIs
StatePublished - Dec 17 2010

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All Science Journal Classification (ASJC) codes

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

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