Renormalization and causality violations in classical gravity coupled with quantum matter

Journal of High Energy Physics

Volumn 2007, Issue 1, 2007, Pages

  Anselmi, Damiano ^a,b  

^a UNIVERSITY OF PISA   (Italy)

^b INFN SEZIONE DI PISA   (Italy)

Author keywords

Classical theories of gravity; Models of quantum gravity; Renormalization regularization and renormalons

Indexed keywords

EID: 33947629234     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/01/062     Document Type: Article

References (40)

1. N. Bohr and S. Rosenfeld, Zur frage der messbarkeit der electromagnetischen feldgrossen 1933 Kgl. Dansk Vidensk. Selskab Math.-fys. Medd 12 8.
2. S. Rosenfeld, On quantization of fields 1963 Nucl. Phys. 40 353.
3. R.P. Feynman, F.B. Moringo and W.G. Wagner, Feynman lectures on gravitation Penguin Books Ltd (2000).
4. C. Møller, in, Les theories relativistes de la gravitation edited by A. Lichnerowics and M.A. Tonnelat, CNRS, Paris (1962).
5. K. Eppley and E. Hannah, The necessity of quantizing the gravitational field 1977 Found. Phys. 7 51
6. J. Mattingly, Why Eppley and Hannah's experiment isn't 2006 Phys. Rev. D 73 064025 [gr-qc/0601127]
7. See for example, chapter 20 of M.E. Peskin and D.V. Shroeder, An introduction to quantum field theory Westview Press (1995).
8. B. DeWitt, Dynamical theory of groups and fields Gordon And Beach Science Publishers, New York, 1965
9. N.D. Birrel and P.C.W. Davies, Quantum fields in curved space (Cambridge University Press, Cambridge), 1982.
10. J.S. Schwinger, Brownian motion of a quantum oscillator 1961 J. Math. Phys. 2 407
11. L.V. Keldysh, Diagram technique for nonequilibrium processes 1964 Zh. Eksp. Teor. Fiz. 47 1515
12. G. Magnano and L. Sokolowski, Nonlinear massive spin-2 field generated by higher derivative gravity 2003 Ann. Phys. (NY) 306 1.
13. J.D. Jackson, Classical electrodynamics chapter 17, John Wiley and Sons, Inc. (1975).
14. L. Bel and H. Sirouss Zia, Regular reduction of relativistic theories of gravitation with a quadratic Lagrangian 1985 Phys. Rev. D 32 3128.
15. L. Parker and J.Z. Simon, Einstein equation with quantum corrections reduced to second order 1993 Phys. Rev. D 47 1339 [gr-qc/9211002]
16. See for example, P.R. Anderson, C. Molina-Pars and E. Mottola, Linear response, validity of semiclassical gravity and the stability of flat space 2003 Phys. Rev. D 67 024026 [gr-qc/0209075]
17. R.D. Jordan, Effective field equations for expectation values 1986 Phys. Rev. D 33 444
18. L.H. Ford and R.P. Woodard, Stress tensor correlators in the Schwinger-Keldysh formalism 2005 Class. Quantum Grav. 22 1637 [gr-qc/0411003]
19. G. 't Hooft and M.J. Veltman, Diagrammar CERN report 1973-009, eq. (6.17), available at http://preprints.cern.ch/cgi-bin/setlink? base≤cernrep&categ≤Yellow_Report&id≤1973-009
20. L.F. Abbott, The background field method beyond one loop 1981 Nucl. Phys. B 185 189
21. D. Anselmi, Renormalization of a class of non-renormalizable theories 2005 J. High Energy Phys. JHEP07(2005)077 [hep-th/0502237]
22. C.D. Hoyle et al., Sub-millimeter tests of the gravitational inverse-square law 2004 Phys. Rev. D 70 042004 [hep-ph/0405262]
23. D. Anselmi, Finiteness of quantum gravity coupled with matter in three spacetime dimensions 2004 Nucl. Phys. B 687 124 [hep-th/0309250]
24. D. Anselmi, Consistent irrelevant deformations of interacting conformal field theories 2003 J. High Energy Phys. JHEP10(2003)045 [hep-th/0309251]
25. D. Anselmi, Renormalization of a class of non-renormalizable theories 2005 J. High Energy Phys. JHEP07(2005)077 [hep-th/0502237]
26. D. Anselmi, Infinite reduction of couplings in non-renormalizable quantum field theory 2005 J. High Energy Phys. JHEP08(2005)029 [hep-th/0503131]
27. D. Anselmi and M. Halat, Dimensionally continued infinite reduction of couplings 2006 J. High Energy Phys. JHEP01(2006)077 [hep-th/0509196]
28. D. Anselmi, Absence of higher derivatives in the renormalization of propagators in quantum field theories with infinitely many couplings 2003 Class. Quantum Grav. 20 2355 [hep-th/0212013]
29. P. Van Nieuwenhuizen, On the renormalization of quantum gravitation without matter 1977 Ann. Phys. (NY) 104 197
30. P. Gilkey, The spectral geometry of a Riemannian manifold 1975 J. Diff. Geom. 10 601
31. D. Anselmi, Renormalization of quantum gravity coupled with matter in three dimensions 2004 Nucl. Phys. B 687 143 [hep-th/0309249]
32. I.M. Gel'fand and G.E. Shilov, Generalized functions vol. I, (Academic Press), New York (1964).
33. K.S. Stelle, Renormalization of higher derivative quantum gravity 1977 Phys. Rev. D 16 953
34. S. Weinberg, The quantum theory of fields (Cambridge University Press), 2000, Vol. 1, section 10.2.
35. 4 theory in curved space 1982 Ann. Phys. (NY) 139 136
36. S. Weinberg, Trace anomalies and QED in curved space 1982 Ann. Phys. (NY) 142 34
37. M.D. Freeman, The renormalization of nonabelian gauge theories in curved space-time 1984 Ann. Phys. (NY) 153 339
38. E.S. Fradkin and A.A. Tseytlin, Higher derivative quantum gravity: one loop counterterms and asymptotic freedom 1982 Nucl. Phys. B 201 469
39. D. Anselmi, Sum rules for trace anomalies and irreversibility of the renormalization-group flow 2002 Acta Phys. Slov. 52 573 [hep-th/0205039]
40. D. Anselmi, D.Z. Freedman, M.T. Grisaru and A.A. Johansen, Nonperturbative formulas for central functions of supersymmetric gauge theories 1998 Nucl. Phys. B 526 543 [hep-th/9708042]