Towards Loop Quantum Gravity without the Time Gauge

2008/11/30 by Francesco Cianfrani, Giovanni Montani · 2 citations
Mathematics · Medicine · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Canonical quantum gravity #Classical mechanics #Gauge boson #Gauge fixing #Gauge theory #Hamiltonian (control theory) #Hořava–Lifshitz gravity #Immirzi parameter #Loop quantum gravity #Lorentz transformation #Mathematical physics #Mathematics #Neuroblastoma Research and Treatments #Noncommutative and Quantum Gravity Theories #Physics #Quantization (signal processing) #Quantum #Quantum dynamics #Quantum gravity #Quantum mechanics #Quantum process #Spin foam #Theoretical physics #gr-qc

paper · pdf · doi:10.1103/physrevlett.102.091301

published as Phys.Rev.Lett.102:091301,2009 · 5 pages, accepted for publication in Phys. Rev. Lett

arxiv created 2009/01/26 · openalex publication_date 2009/03/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The Hamiltonian formulation of the Holst action is reviewed and it provides a solution of second-class constraints corresponding to a generic local Lorentz frame. Within this scheme the form of rotation constraints can be reduced to a Gauss-like one by a proper generalization of Ashtekar-Barbero-Immirzi connections. This result emphasizes that the loop quantum gravity quantization procedure can be applied when the time-gauge condition does not stand.

Citations

• Quantization of Gauge Systems
• Fundamentals and recent developments in non-perturbative canonical Quantum Gravity
• Lorentz invariance and quantum gravity: an additional fine-tuning problem?
• Uniqueness of Diffeomorphism Invariant States on Holonomy–Flux Algebras
• LQG vertex with finite Immirzi parameter
• About Lorentz invariance in a discrete quantum setting

Cited by

• Spontaneously broken Lorentz symmetry for Hamiltonian gravity
• Revisiting the solution of the second-class constraints of the Holst action