6533b7dcfe1ef96bd12729b2
RESEARCH PRODUCT
Renormalization group flow of the Holst action
Martin ReuterJ.-e. Daumsubject
High Energy Physics - TheoryPhysicsNuclear and High Energy PhysicsImmirzi parameterAsymptotic safety in quantum gravityFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)Renormalization groupGeneral Relativity and Quantum CosmologyHigh Energy Physics::TheoryGeneral Relativity and Quantum CosmologyClassical mechanicsHigh Energy Physics - Theory (hep-th)Functional renormalization groupQuantum gravitySpin connectionEffective actionGauge fixingMathematical physicsdescription
The renormalization group (RG) properties of quantum gravity are explored, using the vielbein and the spin connection as the fundamental field variables. The scale dependent effective action is required to be invariant both under space time diffeomorphisms and local frame rotations. The nonperturbative RG equation is solved explicitly on the truncated theory space defined by a three parameter family of Holst-type actions which involve a running Immirzi parameter. We find evidence for the existence of an asymptotically safe fundamental theory, probably inequivalent to metric quantum gravity constructed in the same way.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-12-20 | Physics Letters B |