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MTd2 spotted this one. It was time for a paper like this. Very glad to see it.
http://arxiv.org/abs/1008.0354
http://arxiv.org/abs/1008.0354
marcus said:Rivasseau's main focus seems to be QFT---noncommutative lately. Seems to have breadth and poise (no bias as to what means to use). Is that your impression?
http://arxiv.org/find/grp_physics/1/au:+Rivasseau/0/1/0/all/0
I would guess Rivasseau has command of a wide range of string tools as well.
marcus said:I think most of us are already somewhat familiar with Rivasseau, but here is a video talk by him in case anyone is curious.
http://pirsa.ca/08110023/
Renormalization, an overview
"We review how renormalization, born in quantum field theory has evolved into a rather universal tool to analyze the change of physical laws under scaling. Recent developments in non commutative geometry with hopefully potential applications to the quantization of gravity will be discussed."
atyy said:Originally noncommutative phi^4 was thought nonrenormalizable because of UV/IR mixing http://arxiv.org/abs/hep-th/9912072.
MTd2 said:I didnt find in the paper where it was stated it was non renormalizable. It seems that they wrote that due UV/IR mixing the theory looks stringy for high momentum. It is vague, but given that string theory is renormalizable, I think the authors would say at that time that this theory would be more likely to be renormalizable than not.
EPRL/FK Group Field Theory is a mathematical framework used in quantum gravity research to study the microscopic structure of spacetime. It combines elements from loop quantum gravity and spin foam models, and is based on the idea that space is made up of discrete, quantized units.
The theory was developed by a team of researchers, including Vincent Rivasseau, Razvan Gurau, and Joseph Ben Geloun. They built upon previous work by other scientists in the field of quantum gravity.
The main goal of EPRL/FK Group Field Theory is to provide a mathematical framework for understanding the fundamental building blocks of spacetime at a quantum level. It aims to unify the theories of general relativity and quantum mechanics, providing a way to describe the dynamics of the universe at the smallest scales.
EPRL/FK Group Field Theory differs from other theories of quantum gravity, such as string theory, in that it does not rely on the concept of extra dimensions or string-like objects. Instead, it uses a discrete, combinatorial approach to describe the fundamental structure of spacetime.
If EPRL/FK Group Field Theory is successful, it could have significant implications for our understanding of the universe at a fundamental level. It could provide a way to reconcile general relativity with quantum mechanics, and potentially lead to a unified theory of physics. It may also have practical applications, such as in the development of new technologies based on manipulating spacetime.