Understand
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.
Built on
S. Weinberg, in General Relativity, an Einstein Centenary Survey,
1979
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1994
Earlier work this paper cites.
S. Holst, Phys. Rev. D 53
1996
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M. Reuter, Phys. Rev. D 57
1998
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A. Perez, Class. Quant. Grav. 20
2003
Earlier work this paper cites.
Similar
A. Ashtekar, Lectures on non-perturbative canonical gravity
2004
Cited alongside, same era.
C. Rovelli, Quantum Gravity
2004
Cited alongside, same era.
A. Bonanno and M. Reuter, JHEP 02
2005
Cited alongside, same era.
D. Oriti, in Approaches to Quantum Gravity,
2005
Cited alongside, same era.
L. Freidel, D. Minic, and T. Takeuchi, Phys. Rev. D 72
2005
Cited alongside, same era.
J.-E. Daum and M. Reuter, in preparation
Cited in the paper.
Then
Th. Thiemann, Modern Canonical Quantum General Relativity
2007
Later among the works it cites.
For reviews see: M. Reuter and F. Saueressig, in Geometric and Topological Methods for Quantum Field Theory
2009
Later among the works it cites.
O. Lauscher and M. Reuter, Phys. Rev. D 65
2010
Closest in time.
J.-E. Daum and M. Reuter, PoS (CNCFG 2010) 003
2010
Closest in time.
E. Manrique and M. Reuter, Annals Phys. 325
2011
Closest in time.
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