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Quantum Field Theory in Curved Spacetime: A Comprehensive Overview

Explore the extension of QFT to curved spacetime, addressing particle interpretation, vacuum state, and Hawking radiation applications. Discuss basic formalism, particle creation by gravitational fields, and the Hawking Effect in the context of particular model theories. Delve into massless scalar fields in Schwarzschild spacetime, concluding with key insights for our interest.

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Quantum Field Theory in Curved Spacetime: A Comprehensive Overview

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  1. ShuhuiLuo, Yuguang Chen Quantum Field Theoryin Curved Spacetime (QFTCST)

  2. Overview • QFTCST in an extension of standard Minkowski space QFT. • This is a huge topic. • Particle interpretation depends on the observer. • No way to define a canonical vacuum state. • Some interesting applications like Hawking Radiation

  3. Basic Formalism • The Lagrangian (EOM) of the classical theory. • A quantization procedure. • The characterization of the quantum states. • The physical interpretation of the states (observables). We will discuss in the context of a particular model theory

  4. Basic Formalism

  5. Basic Formalism

  6. Basic Formalism

  7. Particle Creation by Gravitational Fields

  8. Particle Creation by Gravitational Fields

  9. Application to Roberson-Walker Universe

  10. Application to Roberson-Walker Universe

  11. Application to Roberson-Walker Universe

  12. The Hawking Effect • Apply the notions of particle creation by gravitational field to black hole spacetime. • Concentrate on the case of massless scalar field in the Schwarzschild spacetime. • We’ll ignore the derivation and only present some interesting conclusion for the sake of our interest.

  13. The Hawking Effect

  14. The Hawking Effect

  15. The Hawking Effect

  16. The Hawking Effect

  17. The Hawking Effect

  18. More Topics

  19. References • Ford, L.H. "ArXiv.org Gr-qc ArXiv:gr-qc/9707062." [gr-qc/9707062] Quantum Field Theory in Curved Spacetime. July 30, 1997. http://arxiv.org/abs/gr-qc/9707062. • Jacobson, Ted. "ArXiv.org Gr-qc ArXiv:gr-qc/0308048." [gr-qc/0308048] Introduction to Quantum Fields in Curved Spacetime and the Hawking Effect. April 9, 2004. http://arxiv.org/abs/gr-qc/0308048.

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