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fxdung
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I know that motion equation in field theory deriving in GR is not uniquely.How do we solve this ambiguousness of QFT in curved spcetime?
fxdung said:we can have two forms of Klein-Gordon equation of scalar field in GR,
fxdung said:See page70 General Relativity of Wald.
Quantum field theory (QFT) is a theoretical framework that combines quantum mechanics and special relativity to describe the behavior of particles at a microscopic level. In curved spacetime, the framework is extended to include the effects of gravity, as described by Einstein's theory of general relativity.
Ambiguity in QFT in curved spacetime refers to the fact that there is no unique way to define the theory. This is due to the mathematical difficulties of combining quantum mechanics and general relativity, which leads to different possible interpretations and formulations of the theory.
Solving ambiguity in QFT in curved spacetime is important because it allows us to have a better understanding of the fundamental laws of nature. It also helps us to make more accurate predictions and calculations in situations where both quantum mechanics and gravity are relevant, such as in the early universe or around black holes.
Scientists use a variety of mathematical and theoretical tools to try and resolve the ambiguity in QFT in curved spacetime. This can include using different mathematical frameworks, such as perturbation theory or renormalization, and incorporating new concepts such as supersymmetry or string theory.
Some of the current challenges in solving ambiguity in QFT in curved spacetime include finding a consistent and mathematically rigorous way to combine quantum mechanics and general relativity, as well as reconciling different approaches and interpretations of the theory. Additionally, there is still much to be explored and understood about the behavior of particles in extreme conditions such as those found near black holes or during the early stages of the universe.