Wick rotation for spin foam quantum gravity
| Autor: | Alessandro Nicotra, Francesco Gozzini, Pietro Dona |
|---|---|
| Přispěvatelé: | Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
model
Spin(4) 010308 nuclear & particles physics amplitude analysis C) spin Euclidean 01 natural sciences rotation General Relativity and Quantum Cosmology space-time quantum gravity SL(2 0103 physical sciences booster [PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc] spin: foam unitarity holonomy Immirzi parameter vertex function 010306 general physics foam signature quantum gravity: loop space |
| Zdroj: | Phys.Rev.D Phys.Rev.D, 2021, 104 (12), pp.126008. ⟨10.1103/PhysRevD.104.126008⟩ |
| DOI: | 10.1103/PhysRevD.104.126008⟩ |
| Popis: | International audience; Models of spin foam quantum gravity come in different spacetime signatures, either Euclidean or Lorentzian. The choice is reflected in the use of Spin(4) or SL(2,C) as gauge groups for the holonomies of the connection. In this work we show that a rotation of the Immirzi parameter to purely imaginary values maps the Euclidean Engle-Pereira-Rovelli-Livine spin foam model to its Lorentzian version and vice versa. Our methods provide a general recipe for relating spin foam models of different signature through analytic continuation of the gauge groups and their unitary irreducible representations. |
| Databáze: | OpenAIRE |
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