What is the idea behind Group Field Theory by Oriti?

[ensabah6]

In plain English, what is the idea behind Group Field Theory by Oriti? How does this involve LQG, SF, and CDT?

There is not a popular exposition on the subject nor even a wiki article.


thanks

 

[francesca]

As it's told by the name, it's quantum field theory where the variables are group elements. It could be thought as a generalization of spinfoam for whatever group (spinfoam is constructed on SO(4) ) and I think the best reference could be the article by Daniele
http://arxiv.org/abs/gr-qc/0607032"
The group field theory approach to quantum gravity
Daniele Oriti
Comments: 17 pages, 2 figures; expanded version of a contribution to "Approaches to Quantum Gravity - toward a new understanding of space, time, and matter"

Cheers, F

 

[Entropia]

for your question. Group Field Theory (GFT) is a relatively new approach to studying the fundamental structure of space and time in the field of quantum gravity. It was first proposed by Daniele Oriti in 2009 and has since gained attention from many researchers in the field.

The basic idea behind GFT is to combine the principles of quantum mechanics and general relativity to create a unified theory of gravity. This is similar to other approaches such as Loop Quantum Gravity (LQG), String Field Theory (SFT), and Causal Dynamical Triangulations (CDT).

However, what sets GFT apart is that it incorporates the concept of group symmetry, which is a fundamental aspect of modern physics. This means that the mathematical equations used in GFT are based on the idea that space and time are not continuous, but instead are made up of discrete building blocks or "atoms" of space.

These building blocks are represented by group elements, which are mathematical objects that describe the symmetries of the underlying space. By using group elements, GFT is able to describe the dynamics of space and time at a very small scale, where the effects of gravity and quantum mechanics are both important.

In this sense, GFT is a quantum field theory, meaning that it describes the interactions between particles and fields at a quantum level. This is similar to how other theories, such as the Standard Model of particle physics, describe the interactions between particles and fields.

So, to summarize, the idea behind Group Field Theory by Oriti is to use group symmetry to describe the fundamental structure of space and time at a quantum level. This approach involves elements from other theories such as LQG, SFT, and CDT, but adds the concept of group symmetry to create a more comprehensive theory of quantum gravity.