Solving Ambiguity in QFT in Curved Spacetime

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Discussion Overview

The discussion revolves around the ambiguity in quantum field theory (QFT) within the context of curved spacetime, particularly focusing on the non-uniqueness of motion equations derived from general relativity (GR). Participants explore various aspects of this topic, including classical conditions and specific equations related to scalar fields.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant notes the ambiguity in the motion equations in field theory derived in GR and questions how to resolve this issue.
  • Another participant suggests that requiring spacetimes to be globally hyperbolic could be a way to address the ambiguity in classical theory.
  • A participant expresses confusion regarding the specific non-uniqueness being referenced and asks for clarification.
  • There is mention of two forms of the Klein-Gordon equation for scalar fields in GR, indicating a potential source of ambiguity.
  • Participants are prompted to provide the equations in question to facilitate further discussion.
  • References to a specific page in Wald's General Relativity are made, but no equations are provided, leading to a lack of engagement from others.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the nature of the ambiguity or the specific equations in question, and the discussion remains unresolved due to a lack of clarity and engagement.

Contextual Notes

The discussion highlights limitations in communication, particularly the absence of specific equations that could clarify the ambiguity being discussed. There is also a dependence on the definitions and conditions related to the spacetime properties mentioned.

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?
 
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In the classical theory, one way is to also require the condition that spacetimes be globally hyperbolic.
 
It isn't very clear what the question is. What non-uniqueness are you referring to?
 
Eg, we can have two forms of Klein-Gordon equation of scalar field in GR,
 
fxdung said:
we can have two forms of Klein-Gordon equation of scalar field in GR,

Can you write them down?
 
See page70 General Relativity of Wald.
 
fxdung said:
See page70 General Relativity of Wald.

Sorry, if you can't even be bothered to post the equations you're asking about, we can't be bothered to reply. Thread closed.
 

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