Quantum field theory in curved spacetime provides a framework for understanding phenomena such as Hawking radiation and early universe cosmology. However, the application of non-perturbative methods in this context remains challenging due to the complexity introduced by the curved background and the need for techniques beyond standard perturbative expansions.

I am particularly interested in:

I would greatly appreciate references to foundational papers, recent advancements, or practical examples where such methods have been successfully employed. Your guidance and expertise would be invaluable for my research. Thank you!