Volunteers wanted for wikipedia's group field theory

[ensabah6]

Hi,
I just created a wikipedia entry for group field theory here

http://en.wikipedia.org/wiki/Group_field_theory

I wrote "Group field theory is a theory of quantum gravity. It is closely related to background independent quantum gravity approaches such as loop quantum gravity and spin foam and causal dynamic triangulation.

It makes use of spin networks as simplex and uses quantum field theory to create a feynman graph over Simplicial manifold"I am asking for volunteers to add to this, thanks, or alternatively, feel free to post material about GFT here,

and with your permission I can edit GFT and cut and paste your summary there.

 

[AndyW]

Hello,

Thank you for creating a Wikipedia entry for group field theory! As a scientist in the field, I would like to contribute to your post and add some information about GFT.

Group field theory is a mathematical framework that aims to unify quantum mechanics and general relativity into a theory of quantum gravity. It is based on the idea of treating spacetime as a discrete structure, similar to a network or graph. This approach is known as background-independent, as it does not rely on a pre-defined background structure.

One of the main tools used in GFT is the concept of spin networks, which are graphs representing the quantum states of geometry. These spin networks are then used to construct a Feynman graph over a simplicial manifold, which is a discretized version of spacetime. This allows for the calculation of transition amplitudes between different quantum states, similar to how Feynman diagrams are used in quantum field theory.

GFT is closely related to other approaches to quantum gravity, such as loop quantum gravity and spin foam models. In fact, GFT can be seen as a generalization of these approaches, where the fundamental variables are not just loops or spin networks, but also higher-dimensional structures.

Some current research in GFT is focused on developing a consistent mathematical framework for the theory, as well as exploring its implications for cosmology and black hole physics. There is also ongoing work on connecting GFT to other areas of physics, such as condensed matter systems and quantum information theory.

I hope this information is helpful in further developing the Wikipedia entry for group field theory. I give my permission for you to use this material in your post, and I am also happy to collaborate with you on editing the entry.

Thank you for your efforts in promoting and sharing information about GFT!