# Perturbative approach in Loop Quantum Gravity

• Polyrhythmic
In summary, the conversation discusses the topic of Loop Quantum Gravity and its formulation, specifically the use of perturbative approaches and Feynman diagrams. The current efforts are focused on understanding various details and the full, non-perturbative theory remains unknown. The conversation also mentions specific papers that explore this topic further.
Polyrhythmic
I'm a novice in Loop Quantum Gravity, so please bear with me if this is a trivial question. As far as I know, LQG is usually formulated non-perturbatively, but is there also a perturbative approach in the sense that we use a series expansion in order to calculate vacuum expectation values? Are there Feynman diagrams? Does this even make sense?

Thank you, I will take a look into those papers!

## 1. What is the perturbative approach in Loop Quantum Gravity?

The perturbative approach in Loop Quantum Gravity is a mathematical framework used to study the quantization of gravity. It involves breaking down the gravitational field into smaller, perturbed components and then applying quantum mechanics to these perturbations.

## 2. How does the perturbative approach differ from other approaches in Loop Quantum Gravity?

The perturbative approach differs from other approaches in Loop Quantum Gravity in that it focuses on small perturbations of the gravitational field rather than attempting to quantize the entire field at once. This allows for a more tractable mathematical framework and has led to significant progress in the field.

## 3. What are the key challenges of using the perturbative approach in Loop Quantum Gravity?

One of the key challenges of using the perturbative approach in Loop Quantum Gravity is that it relies on approximations and perturbative expansions, which may not accurately capture the full complexity of the gravitational field. Additionally, the perturbative approach may not be applicable in certain extreme situations, such as near black holes or in the early universe.

## 4. How does the perturbative approach contribute to our understanding of the quantum nature of gravity?

The perturbative approach in Loop Quantum Gravity has provided valuable insights into the quantum nature of gravity, such as the discreteness of the space-time fabric and the quantization of area and volume. It has also allowed for the development of various mathematical tools and techniques that have furthered our understanding of quantum gravity.

## 5. What are some current developments and future directions for the perturbative approach in Loop Quantum Gravity?

Currently, there is ongoing research to improve the accuracy and applicability of the perturbative approach in Loop Quantum Gravity. Some directions for future development include incorporating more advanced mathematical techniques and exploring the implications of the perturbative approach for other areas of physics, such as cosmology and particle physics.

Replies
10
Views
1K
Replies
13
Views
2K
Replies
7
Views
2K
Replies
1
Views
845
Replies
2
Views
2K
Replies
4
Views
2K
Replies
105
Views
11K
Replies
24
Views
5K
Replies
2
Views
2K
Replies
37
Views
7K