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We construct a manifestly diffeomorphism invariant Wilsonian (Exact) Renormalization Group for classical gravity, and begin the construction for quantum gravity.
Do gravitational fields play an essential part in the structure of the elementary particles of matter?
Albert Einstein · 1919
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Scaling laws for Ising models near T(c)
L. P. Kadanoff · 1966
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Feynman Diagrams for the Yang-Mills Field
L. D. Faddeev and V. N. Popov · 1967
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Quantum Theory of Gravity. 1. The Canonical Theory
Bryce S. DeWitt · 1967
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Renormalization group and critical phenomena. 1. Renormalization group and the Kadanoff scaling picture
Kenneth G. Wilson · 1971
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Renormalization group and critical phenomena. 2. Phase space cell analysis of critical behavior
Kenneth G. Wilson · 1971
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Invariant regularization of gauge theories
A. A. Slavnov · 1972
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Spontaneously Broken Gauge Symmetries. 1. Preliminaries
B. W. Lee and Jean Zinn-Justin · 1972
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Renormalization group equation for critical phenomena
Franz J. Wegner and Anthony Houghton · 1973
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The Renormalization group and the epsilon expansion
K.G. Wilson and John B. Kogut · 1974
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The Abelian Higgs-Kibble Model. Unitarity of the S Operator
C. Becchi, A. Rouet, and R. Stora · 1974
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The Renormalization Group: Critical Phenomena and the Kondo Problem
Kenneth G. Wilson · 1975
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Renormalization of the Abelian Higgs-Kibble Model
C. Becchi, A. Rouet, and R. Stora · 1975
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Renormalization of Gauge Theories
C. Becchi, A. Rouet, and R. Stora · 1976
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Renormalization of Higher Derivative Quantum Gravity
K. S. Stelle · 1977
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Random Magnetic Fields, Supersymmetry and Negative Dimensions
G. Parisi and N. Sourlas · 1979
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Ultraviolet Divergences In Quantum Theories Of Gravitation
S. Weinberg · 1980
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Einstein Gravity as a Symmetry Breaking Effect in Quantum Field Theory
Stephen L. Adler · 1983
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Renormalization and Effective Lagrangians
Joseph Polchinski · 1984
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Asymptotic freedom in higher derivative quantum gravity
I. G. Avramidi and A. O. Barvinsky · 1985
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A Unimodular Theory of Canonical Quantum Gravity
W. G. Unruh · 1989
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General relativity as an effective field theory: The leading quantum corrections
John F. Donoghue · 1994
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Noncompact pure gauge QED in 3-D is free
Tim R. Morris · 1995
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Nonperturbative evolution equation for quantum gravity
M. Reuter · 1998
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A Manifestly gauge invariant exact renormalization group
Tim R. Morris · 1998
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Elements of the continuous renormalization group
Tim R. Morris · 1998
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On average properties of inhomogeneous fluids in general relativity. 1. Dust cosmologies
Thomas Buchert · 2000
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A Gauge invariant exact renormalization group. 1
Tim R. Morris · 2000
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A Gauge invariant exact renormalization group. 2
Tim R. Morris · 2000
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Gauge invariant regularization in the ERG approach
S. Arnone, Yu. A. Kubyshin, T. R. Morris, and J. F. Tighe · 2000
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Exact scheme independence
Jose I. Latorre and Tim R. Morris · 2000
Cited alongside, same era.
An Exact RG formulation of quantum gauge theory
Tim R. Morris · 2001
Cited alongside, same era.
A Gauge invariant regulator for the ERG
Manifestly Gauge Invariant Exact Renormalization Group
Stefano Arnone, Tim R. Morris, and Oliver J. Rosten · 2006
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Fixed points of higher derivative gravity
Alessandro Codello and Roberto Percacci · 2006
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A Generalised manifestly gauge invariant exact renormalisation group for SU(N) Yang-Mills
Stefano Arnone, Tim R. Morris, and Oliver J. Rosten · 2007
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Universality From Very General Nonperturbative Flow Equations in QCD
Oliver J. Rosten · 2007
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A Resummable beta-Function for Massless QED
Oliver J. Rosten · 2008
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The Role of Background Independence for Asymptotic Safety in Quantum Einstein Gravity
Martin Reuter and Holger Weyer · 2009
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S. Arnone, Yu. A. Kubyshin, T. R. Morris, and J. F. Tighe · 2001
Cited alongside, same era.
Gauge invariant regularization via SU(N—N)
Stefano Arnone, Yuri A. Kubyshin, Tim R. Morris, and John F. Tighe · 2002
Cited alongside, same era.
Exact scheme independence at one loop
Stefano Arnone, Antonio Gatti, and Tim R. Morris · 2002
Cited alongside, same era.
Towards a manifestly gauge invariant and universal calculus for Yang-Mills theory
Stefano Arnone, Antonio Gatti, and Tim R. Morris · 2002
Cited alongside, same era.
A Manifestly gauge invariant exact renormalization group
Stefano Arnone, Antonio Gatti, and Tim R. Morris · 2002
Cited alongside, same era.
Manifestly gauge invariant computations
Stefano Arnone, Antonio Gatti, and Tim R. Morris · 2002
Cited alongside, same era.
Conformally reduced quantum gravity revisited
Pedro F. Machado and R. Percacci · 2009
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Conformal sector of Quantum Einstein Gravity in the local potential approximation: Non-Gaussian fixed point and a phase of unbroken diffeomorphism invariance
Martin Reuter and Holger Weyer · 2009
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Background Independence and Asymptotic Safety in Conformally Reduced Gravity
Martin Reuter and Holger Weyer · 2009
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Investigating the Ultraviolet Properties of Gravity with a Wilsonian Renormalization Group Equation
Alessandro Codello, Roberto Percacci, and Christoph Rahmede · 2009
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Aspects of Manifest Gauge Invariance
Oliver J. Rosten · 2010
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Fundamentals of the Exact Renormalization Group
Oliver J. Rosten · 2012
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Quantum Einstein Gravity
Martin Reuter and Frank Saueressig · 2012
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Universality and Symmetry Breaking in Conformally Reduced Quantum Gravity
Alfio Bonanno and Filippo Guarnieri · 2012
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Supermanifolds
Bryce S. DeWitt · 2012
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Cosmological back-reaction in modified gravity and its implications for dark energy
Anthony W. H. Preston and Tim R. Morris · 2014
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En route to Background Independence: Broken split-symmetry, and how to restore it with bi-metric average actions
Daniel Becker and Martin Reuter · 2014
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UV structure of quantum unimodular gravity
Ippocratis D. Saltas · 2014
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Is there proof that backreaction of inhomogeneities is irrelevant in cosmology?
T. Buchert et al · 2015
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Comments on Backreaction
Stephen R. Green and Robert M. Wald · 2015
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Buchert coarse-graining and the classical energy conditions
Matt Visser · 2015
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Background independent exact renormalization group for conformally reduced gravity
Juergen A. Dietz and Tim R. Morris · 2015
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The Renormalization Group flow of unimodular f(R) gravity
Astrid Eichhorn · 2015
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Holographic renormalisation group flows and renormalisation from a Wilsonian perspective
J. M. Lizana, T. R. Morris, and M. Perez-Victoria · 2015
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Local Quantum Gravity
Nicolai Christiansen, Benjamin Knorr, Jan Meibohm, Jan M. Pawlowski, and Manuel Reichert · 2015
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Translational symmetry breaking in field theories and the cosmological constant
Nick Evans, Tim R. Morris, and Marc Scott · 2016
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