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Reflection positivity constitutes an integral prerequisite in the Osterwalder-Schrader reconstruction theorem which relates quantum field theories defined on Euclidean space to their Lorentzian signature counterparts.
Quantum Field Theory in Terms of Vacuum Expectation Values
A. S. Wightman · 1956
Earlier work this paper cites.
Axioms for Euclidean Green’s functions
K. Osterwalder and R. Schrader · 1973
Earlier work this paper cites.
Renormalization of Higher Derivative Quantum Gravity
K. S. Stelle · 1977
Earlier work this paper cites.
Classical Gravity with Higher Derivatives
K. S. Stelle · 1978
Earlier work this paper cites.
A note on reflection positivity
J. Glimm and A. Jaffe · 1979
Earlier work this paper cites.
A guide to distribution theory and Fourier transforms
R. S. Strichartz · 2003
Earlier work this paper cites.
Mathematical Analysis I
A. V. Zorich · 2004
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The Asymptotic Safety Scenario in Quantum Gravity,
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A. Jaffe and G. Ritter · 2007
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A. Jaffe and G. Ritter · 2008
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G. Grubb · 2008
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B. Iochum, C. Levy and D. Vassilevich, · 2012
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Renormalization of the asymptotically expanded Yang-Mills spectral action
W.D. van Suijlekom · 2012
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Quantum Einstein Gravity
M. Reuter and F. Saueressig, · 2012
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Nonlocal quantum gravity: A review,
L. Modesto and L. Rachwal · 2017
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An introduction to covariant quantum gravity and asymptotic safety
R. Percacci · 2017
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M. Ostrogradski
Cited in the paper.
On avoiding Ostrogradski instabilities within Asymptotic Safety. arXiv:1709.09098 [hep-th]
D. Becker, C. Ripken, and F. Saueressig
Cited in the paper.