The following is either the most important paper so far in the 21st century, or a big mistake.(adsbygoogle = window.adsbygoogle || []).push({});

hep-ph/0607198

Exact Quantum Loop Results in the Theory of General Relativity

Authors: B.F.L. Ward (1) ((1) Dept. of Physics, Baylor University, Waco, TX, USA)

Comments: 26 pages, 3 figures; improved text

Report-no: BU-HEPP-05-07

We present a new approach to quantum general relativity based on the idea of Feynman to treat the graviton in Einstein's theory as a point particle field subject to quantum fluctuations just as any such field is in the well-known Standard Model of the electroweak and strong interactions. We show that by using resummation techniques based on the extension of the methods of Yennie, Frautschi and Suura to Feynman's formulation of Einstein's theory, we get calculable loop corrections that are even free of UV divergences. One further by-product of our analysis is that we can apply it to a large class of interacting field theories, both renormalizable and non-renormalizable, to render their UV divergences finite as well. We illustrate our results with applications of some phenomenological interest.

They use vanilla QFT, and the resumming techniques they apply go back to 1961:

18] D. R. Yennie, S. C. Frautschi, and H. Suura, Ann. Phys. 13 (1961) 379; see also

K. T. Mahanthappa, Phys. Rev. 126 (1962) 329, for a related analysis.

Although the present author and colleagues have had good results using them in phenomological contexts at CERN:

[19] S. Jadach and B.F.L. Ward, Phys. Rev D38 (1988) 2897; ibid. D39 (1989) 1471; ibid.

D40 (1989) 3582; Comput. Phys. Commun.56(1990) 351; Phys.Lett.B274 (1992)

470; S. Jadach et al., Comput. Phys. Commun. 102 (1997) 229; S. Jadach, W.

Placzek and B.F.L Ward, Phys.Lett. B390 (1997) 298; S. Jadach, M. Skrzypek and

B.F.L. Ward,Phys.Rev. D55 (1997) 1206; S. Jadach, W. Placzek and B.F.L. Ward,

Phys. Rev. D56 (1997) 6939; S. Jadach, B.F.L. Ward and Z. Was,Phys. Rev. D63

(2001) 113009; Comp. Phys. Commun. 130 (2000) 260; S. Jadach et al., ibid.140

(2001) 432, 475; S. Jadach, M. Skrzypek and B.F.L. Ward, Phys. Rev. D47 (1993)

3733; Phys. Lett. B257 (1991) 173; in ”Zo Physics”, Proc. XXVth Rencontre de

Moriond, Les Arcs, France, 1990, ed. J. Tran Thanh Van (Editions Frontieres, Gif-

Sur-Yvette, 1990); S. Jadach et al., Phys. Rev. D44 (1991) 2669; S. Jadach and

B.F.L. Ward, preprint TPJU 19/89; in Proc. Brighton Workshop, eds. N. Dombey

and F. Boudjema (Plenum, London, 1990), p. 325.

So people, what do you think? Have they quantized GR in one swell foop, or not?

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