弯曲时空中的量子场论
粒子物理学中，弯曲时空的量子场论是指将平直时空的量子场论推展到弯曲时空。此理论的一般性预测为：时变重力场或具有视界的非时变重力场皆可导致粒子创生。
应用
[编辑]此理论最著名的应用为霍金辐射，指出黑洞带有黑体辐射。另一个相关的预测为盎鲁效应，指出加速中的观察者可以观测到真空中出现粒子的热浴，这在惯性观察者是观察不到的。
此外，宇宙暴胀造成的太初密度微扰也可以之计算，而实验上也可透过天文学观测（例如宇宙背景辐射）来验证。
狄拉克方程式也可有弯曲时空中的形式，参见弯曲时空中的狄拉克方程。
量子重力的近似
[编辑]弯曲时空中的量子场论也可以视作量子重力的初阶近似。更进一步的理论为半古典重力，其考虑了强重力场所造成的粒子创造；此理论仍属古典理论，并且等效原理仍然适用。广义相对论所描述的重力，其不可重整化特性是将重力量子化的主要障碍。[1]
相关条目
[编辑]参考文献
[编辑]- ^ A. Shomer. A pedagogical explanation for the non-renormalizability of gravity. 2007. arXiv:0709.3555
.
延伸阅读
[编辑]- N.D. Birrell & P.C.W. Davies. Quantum fields in curved space. CUP (1982).
- S.A. Fulling. Aspects of quantum field theory in curved space-time. CUP (1989).
- B.S. Kay & R.M. Wald. Theorems on the Uniqueness and Thermal Properties of Stationary, Nonsingular, Quasifree States on Space-Times with a Bifurcate Killing Horizon. Physics Reports 207 (1991) 49-136
- R.M. Wald. Quantum field theory in curved space-time and black hole thermodynamics. Chicago U. (1995).
- L. H. Ford. Quantum Field Theory in Curved Spacetime （页面存档备份，存于互联网档案馆） (1997).
- S. Hollands, R.M. Wald. Local Wick polynomials and time ordered products of quantum fields in curved space-time. Commun. Math. Phys. 223 (2001) 289-326
- R. Verch.A spin statistics theorem for quantum fields on curved space-time manifolds in a generally covariant framework. Commun.Math.Phys. 223 (2001) 261-288
- S. Hollands, R.M. Wald. On the renormalization group in curved space-time. Commun.Math.Phys. 237 (2003) 123-160
- A. Bytsenko, G. Cognola, E. Elizalde, V. Moretti and S. Zerbini. Analytic Aspects of Quantum Fields. World Scientific (2003)
- V. Moretti. Comments on the stress-energy tensor operator in curved spacetime Commun. Math. Phys. 232, (2003) 189-222.
- R. Brunetti, K. Fredenhagen, R.Verch. The Generally covariant locality principle: A New paradigm for local quantum field theory. Commun. Math. Phys. 237 (2003) 31-68.
- T. Jacobson Introduction to Quantum Fields in Curved Spacetime and the Hawking Effect （页面存档备份，存于互联网档案馆） (2004).
- V. Mukhanov and S. Winitzki. Introduction to Quantum Effects in Gravity. CUP (2007).
- L. Parker & D. Toms. Quantum Field Theory in Curved Spacetime. (2009).
- T.-P. Hack. On the Backreaction of Scalar and Spinor Quantum Fields in Curved Spacetimes (2010) Ph.D.Thesis Hamburg U. (Advisors: K. Fredenhagen, V. Moretti, R. M. Wald)
- C. Dappiaggi, V. Moretti, N. Pinamonti. Rigorous construction and Hadamard property of the Unruh state in Schwarzschild spacetime. Adv. Theor. Math. Phys. 15, vol 2, (2011) 355-448
