Generation of Curved Spacetime in Quantum Field

Dr. Sarfraj Khan

Abstract: This paper explores the integration of quantum field theory QFT with Einsteins theory of gravitation, addressing the challenges of quantization in curved spacetimes. It examines the limitations of current approaches, such as standard QFTs neglect of gravitational effects and the complexities of choosing a vacuum state in general spacetimes. Key sections include the analysis of Cauchy surfaces, global hyperbolicity, and the role of observers in QFT. The study also delves into the Unruh effect, illustrating the thermal nature of the Minkowski vacuum in accelerated frames, and concludes with a discussion on the generalization of classical phase - space in curved spacetimes.

Keywords: Quantum field theory, curved spacetime, Cauchy surfaces, global hyperbolicity, Unruh effect