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**Additional resources for Quantum Mathematical Physics: A Bridge between Mathematics and Physics**

J. Isham, Spinor fields in 4-dimensional space-time. Proc. R. Soc. Lond. Ser. A 364, 591– 599 (1978) 29. L. J. Landau, A be aware on prolonged locality. Commun. Math. Phys. thirteen, 246–253 (1969) 30. G. Lüders, B. Zumino, Connection among spin and facts. Phys. Rev. 110(2), 1450–1453 (1958) 31. P. Marecki, Bounds at the power densities of floor states on static spacetimes of compact gadgets. Phys. Rev. D seventy three, 124009 (2006). gr-qc/0507089 32. L. Parker, Y. Wang, records from dynamics in curved spacetime. Phys. Rev. D 39, 3596–3605 (1989) 33. W. Pauli, the relationship among spin and information. Phys. Rev. fifty eight, 716–722 (1940) 34. ok. Sanders, at the Reeh-Schlieder estate in curved spacetime. Commun. Math. Phys. 288, 271–285 (2009) 35. ok. Sanders, The in the neighborhood covariant Dirac box. Rev. Math. Phys. 22, 381–430 (2010) 36. S. Schlieder, Einige Bemerkungen über Projektionsoperatoren (Konsequenzen eines Theorems von Borchers). Commun. Math. Phys. thirteen, 216–225 (1969) 37. A. Schoch, at the simplicity of Haag fields. Int. J. Theor. Phys. 1, 107–113 (1968) 38. R. F. Streater, A. S. Wightman, PCT, spin and facts, and all that. Corrected 3rd printing of the 1978 variation (Princeton Landmarks in Physics Princeton college Press, Princeton, 2000) 39. R. Verch, A spin-statistics theorem for quantum fields on curved spacetime manifolds in a in most cases covariant framework. Commun. Math. Phys. 223, 261–288 (2001). math-ph/0102035 forty. R. Verch, neighborhood covariance, renormalization ambiguity, and native thermal equilibrium in cosmology, in Quantum box thought and Gravity. Conceptual and Mathematical Advances within the look for a Unified Framework, ed. through F. Finster, O. Müller, M. Nardmann, J. Tolksdorf, E. Zeidler (Birkhäuser, Basel, 2012), pp. 229–256. arXiv:1105. 6249 forty-one. R. M. Wald, lifestyles of the S-matrix in quantum box thought in curved space-time. Ann. Phys. 118, 490–510 (1979) Is There a C-Function in 4D Quantum Einstein Gravity? Daniel Becker and Martin Reuter Contents 1 advent. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 From the EAA to the C-Function . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . three Asymptotically secure Quantum Gravity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . four precis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 22 33 39 forty summary We describe a useful renormalization group-based solution to look for ‘C-like’ services with homes just like that during second conformal box conception. It exploits the mode counting homes of the powerful normal motion and is very fitted to theories together with quantized gravity. The viability of the technique is verified explicitly in a truncation of four dimensional Quantum Einstein Gravity, i. e. asymptotically secure metric gravity. key terms Quantum gravity • Asymptotic security • c-theorem. arithmetic topic type (2010). basic 81T06; Secondary 81Q06. D.