Stability of flat space, semiclassical gravity, and higher derivatives.
关键词: Effective action 、 Physics 、 Semiclassical gravity 、 Gravitation 、 Mathematical physics 、 Quantum gravity 、 1/N expansion 、 Quantum fluctuation 、 Classical mechanics 、 Semiclassical physics 、 Perturbation theory (quantum mechanics)
摘要: Flat space is shown to be perturbatively stable, first order in ħ, against quantum fluctuations produced semiclassical (or 1/N expansion) approximations gravity, despite past indications the contrary. It pointed out that most of new «solutions» allowed by corrections do not fall within perturbative framework, unlike effective action and field equations which generate them.
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sci-hub.se 参考文章(15)
Richard Schoen, Shing-Tung Yau, Proof of the positive mass theorem. II Communications in Mathematical Physics. ,vol. 79, pp. 231- 260 ,(1981) , 10.1007/BF01942062
Edward Witten, A new proof of the positive energy theorem Communications in Mathematical Physics. ,vol. 80, pp. 381- 402 ,(1981) , 10.1007/BF01208277
Gary T. Horowitz, Robert M. Wald, Dynamics of Einstein's equation modified by a higher-order derivative term Physical Review D. ,vol. 17, pp. 414- 416 ,(1978) , 10.1103/PHYSREVD.17.414
Gary T. Horowitz, Semiclassical relativity: The weak-field limit Physical Review D. ,vol. 21, pp. 1445- 1461 ,(1980) , 10.1103/PHYSREVD.21.1445
James B. Hartle, Gary T. Horowitz, Ground-state expectation value of the metric in the1Nor semiclassical approximation to quantum gravity Physical Review D. ,vol. 24, pp. 257- 274 ,(1981) , 10.1103/PHYSREVD.24.257
Robert M. Wald, The back reaction effect in particle creation in curved spacetime Communications in Mathematical Physics. ,vol. 54, pp. 1- 19 ,(1977) , 10.1007/BF01609833
Andrew Strominger, Positive-energy theorem for R + R 2 gravity Physical Review D. ,vol. 30, pp. 2257- 2259 ,(1984) , 10.1103/PHYSREVD.30.2257
X. Jaén, J. Llosa, A. Molina, A reduction of order two for infinite-order Lagrangians Physical Review D. ,vol. 34, pp. 2302- 2311 ,(1986) , 10.1103/PHYSREVD.34.2302
R. P. Feynman, The Theory of Positrons Physical Review. ,vol. 76, pp. 749- 759 ,(1949) , 10.1103/PHYSREV.76.749
John Archibald Wheeler, Richard Phillips Feynman, Classical electrodynamics in terms of direct interparticle action Reviews of Modern Physics. ,vol. 21, pp. 425- 433 ,(1949) , 10.1103/REVMODPHYS.21.425