New geometric version of quantum field theory

In summary, the new geometric version of quantum field theory, as discussed in the videos and slides from SUSY 2013, could potentially help in the search for a theory of quantum gravity that connects the large- and small-scale pictures of the universe. This theory challenges the notion that locality and unitarity must break down at some point, and involves the use of the positive grassmannian. While there are no papers on this topic yet, there are two papers by Arkani-Hamed that discuss the positive grassmannian in relation to scattering amplitudes and local spacetime physics.
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  • #2
sas3 said:
The new geometric version of quantum field theory could also facilitate the search for a theory of quantum gravity that would seamlessly connect the large- and small-scale pictures of the universe

https://www.simonsfoundation.org/quanta/20130917-a-jewel-at-the-heart-of-quantum-physics/


I thought some of you may enjoy this.

The intuitive argument that locality and unitarity must break down at some point is not very convincing, even though I find the conclusion plausible.
 
  • #4
Last edited by a moderator:

1. What is a geometric version of quantum field theory?

A geometric version of quantum field theory is a mathematical framework that combines the principles of quantum mechanics and classical field theory to describe the behavior of particles and fields in a curved spacetime. It is based on the concept of spacetime geometry, where the properties of space and time are described by mathematical structures such as manifolds and tensors.

2. How is the geometric version of quantum field theory different from traditional quantum field theory?

The geometric version of quantum field theory differs from traditional quantum field theory in that it takes into account the curvature of spacetime and the gravitational force, whereas traditional quantum field theory only considers flat spacetime and does not include gravity in its equations. This allows for a more comprehensive understanding of the interactions between particles and fields.

3. What are the potential applications of the geometric version of quantum field theory?

The geometric version of quantum field theory has potential applications in the study of black holes, cosmology, and the early universe. It also has implications for understanding the fundamental forces of nature and their interactions, as well as for developing new technologies such as quantum computers.

4. How does the geometric version of quantum field theory address the issue of singularities in general relativity?

The geometric version of quantum field theory offers a potential solution to the problem of singularities in general relativity. By incorporating quantum mechanics into the theory, it allows for a more complete understanding of the behavior of matter and energy near singularities, which can help explain and potentially resolve these singularities.

5. Are there any experimental or observational tests that can be conducted to verify the predictions of the geometric version of quantum field theory?

There are ongoing efforts to test the predictions of the geometric version of quantum field theory through experiments and observations. These include studying the behavior of particles and fields in extreme gravitational environments, such as near black holes, as well as searching for potential signatures of quantum gravity in cosmological observations. However, due to the complexity of the theory and the limitations of current technology, these tests are still in their early stages and further research is needed.

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