# What is interaction Lagrangian of matter and graviton fields

• fxdung
In summary, the interaction Lagrangian between matter and graviton fields incorporates the interactions between the metric and matter. This is achieved by replacing the Minkowski metric with a general metric field and expanding it as a perturbation around a vacuum solution. The nonrenormalization of the Lagrangian is demonstrated through the coincidence of the vertices in the divergence of two graviton diagrams.
fxdung
What is the interaction Lagrangian of matter and graviton fields?So(on the answer)we can say about the nonrenormalization.Why is the divergence of two gravitons diagram able to be the limit of the coincidence of the verties.So we can say about the nonrenormalization.

In writing down the Lagrangian for matter fields, in QFT you use the Minkowski metric. E.g.,the kinetic part of the action of a scalar field contains an inner product. In GR you replace the Minkowski metric by a general metric field which is a solution of the Einstein equations, and partial derivatives become general-covariant ones. These terms contain the interactions between the metric and matter. If you then expand the metric as a perturbation around a vacuum solution, say Minkowski, then you obtain your interaction terms. I don't have experience with calculating such Feynmandiagrams, so maybe some-one else can elaborate on that :)

## 1. What is the interaction Lagrangian of matter and graviton fields?

The interaction Lagrangian of matter and graviton fields is a mathematical equation that describes the relationship between matter and the graviton field. It is a key concept in quantum field theory and is used to explain how matter interacts with the gravitational force.

## 2. How is the interaction Lagrangian of matter and graviton fields derived?

The interaction Lagrangian of matter and graviton fields is derived from the Einstein-Hilbert action, which describes the dynamics of gravity in terms of the curvature of spacetime. This action is then modified to include matter fields, resulting in the interaction Lagrangian.

## 3. How does the interaction Lagrangian of matter and graviton fields affect the behavior of matter?

The interaction Lagrangian of matter and graviton fields dictates how matter particles interact with the gravitational field. It determines the strength and direction of the gravitational force on a given particle, which ultimately affects its motion and behavior.

## 4. Can the interaction Lagrangian of matter and graviton fields be used to make predictions?

Yes, the interaction Lagrangian of matter and graviton fields is a fundamental part of quantum field theory and is used to make predictions about the behavior of particles in the presence of a gravitational field. These predictions have been tested and confirmed through experiments and observations.

## 5. What implications does the interaction Lagrangian of matter and graviton fields have on our understanding of the universe?

The interaction Lagrangian of matter and graviton fields is a crucial component of the standard model of particle physics and general relativity. It provides a framework for understanding the fundamental forces of nature and how they shape the behavior of matter in the universe, including the formation and evolution of galaxies and other large-scale structures.

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