彎曲時空中的量子場論

粒子物理學中，彎曲時空的量子場論是指將平直時空的量子場論推展到彎曲時空。此理論的一般性預測為：時變重力場或具有視界的非時變重力場皆可導致粒子創生。

 應用 
此理論最著名的應用為霍金輻射，指出黑洞帶有黑體輻射。另一個相關的預測為盎魯效應，指出加速中的觀察者可以觀測到真空中出現粒子的熱浴，這在慣性觀察者是觀察不到的。

此外，宇宙暴脹造成的太初密度微擾也可以之計算，而實驗上也可透過天文學觀測（例如宇宙背景輻射）來驗證。

狄拉克方程式也可有彎曲時空中的形式，參見彎曲時空中的狄拉克方程。

 量子重力的近似 
彎曲時空中的量子場論也可以視作量子重力的初階近似。更進一步的理論為半古典重力，其考慮了強重力場所造成的粒子創造；此理論仍屬古典理論，並且等效原理仍然適用。廣義相對論所描述的重力，其不可重整化特性是將重力量子化的主要障礙。

相關條目
 量子場論
 拓樸量子場論
 廣義相對論
 量子重力

 參考文獻 

延伸閱讀
 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  (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  (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

Category:量子場論
Category:量子重力