What is the Asymptotic Behavior of the Propagator in QFT?

In summary, the question in QFT of Weinberg is a fundamental issue in physics that addresses the inconsistency between quantum field theory and general relativity. It is important because it has significant implications for our understanding of the universe and has yet to be resolved. While there have been attempts to answer it, a definitive solution has not been reached. This question is closely related to the search for a theory of everything and could have major implications if answered, such as revolutionizing our understanding of the universe and leading to new technologies and advancements.
  • #1
ndung200790
519
0
Please demonstrate for me that:
In any theory,the propagator [itex]\Delta[/itex][itex]_{f}[/itex](k) of a field of type f has asymptotic behavior:

[itex]\Delta[/itex][itex]_{f}[/itex](k)~k[itex]^{-2+2sf}[/itex]

where sf is ''spin'' of the field.For massive fields of Lorentz type (A,B) then sf=A+B.
(However,dropping terms that because of gauge invariance have no effect,eg. photon has sf=0)
(QFT of Weinberg Vol 1,&12.1 Degrees of Divergence)
 
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  • #2
I know this is true for photon,W-Z boson,gluon,graviton,spin 1/2 fermion.But what about the other particles?
 

1. What is the question in QFT of Weinberg?

The question in QFT of Weinberg is a fundamental issue in quantum field theory that was posed by physicist Steven Weinberg. It involves the inconsistency between the predictions of quantum field theory and general relativity, and attempts to reconcile these two theories into a unified framework.

2. Why is the question in QFT of Weinberg important?

The question in QFT of Weinberg is important because it addresses a fundamental issue in physics that has yet to be resolved. It has significant implications for our understanding of the universe and could potentially lead to new discoveries and advancements in physics and technology.

3. What progress has been made in answering the question in QFT of Weinberg?

There have been various attempts to answer the question in QFT of Weinberg, including string theory and loop quantum gravity. However, a definitive solution has not yet been reached and the question remains an open problem in theoretical physics.

4. How does the question in QFT of Weinberg relate to the search for a theory of everything?

The question in QFT of Weinberg is closely related to the search for a theory of everything, which aims to unify all fundamental forces and explain the nature of the universe. It is believed that solving the question in QFT of Weinberg is crucial to achieving this goal.

5. What are the potential implications if the question in QFT of Weinberg is answered?

If the question in QFT of Weinberg is answered, it could revolutionize our understanding of the universe and lead to new technologies and applications. It could also have significant implications for other areas of physics, such as cosmology and particle physics.

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