弯曲时空中的量子场论

此理論最令人嘖嘖稱奇的應用為霍金輻射，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。

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。

• 量子場論
• 拓樸量子場論
• 廣義相對論
• 量子重力

• 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） (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） (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