What is the significance of scale-invariance in asymptotic safety theories?

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In summary, Percacci discusses the concept of asymptotic safety and its potential applications to quantum field theories of gravity and matter. He also mentions his own thoughts and ties in with other theories, which may be of interest to some readers. The paper is a short introduction and was presented at a conference in 2010.
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marcus
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Some of us might be interested by what Percacci has to say about AsymSafe theories. He goes beyond simple AS gravity, considers a combined theory with standard matter, the significance of scale-invariance at the fixed points, and (to me) surprising tie-ins with other theory.

http://arxiv.org/abs/1110.6389
A short introduction to asymptotic safety
R. Percacci
(Submitted on 28 Oct 2011)
I discuss the notion of asymptotic safety and possible applications to quantum field theories of gravity and matter.
18 pages. In the proceedings of the conference "Time and matter", Budva, Montenegro, October 2010.
====================

The paper is not merely a brief introductory overview of what many here are already familiar with regarding AS gravity. Percacci has evidently been thinking more about AS.
He also has some curious papers in the bibliography---like this for instance:

http://arxiv.org/abs/0805.1947
On the physical basis of cosmic time
Svend Erik Rugh, Henrik Zinkernagel
 
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Wow, could be related to Penrose's crop circles!
 
  • #3
atyy said:
Wow, could be related to Penrose's crop circles!

Exactly :biggrin:

Percacci, who is a sober serious man, said so himself.
 
  • #4

Related to What is the significance of scale-invariance in asymptotic safety theories?

1. What is the main topic of the Perturbing Percacci paper?

The Perturbing Percacci paper discusses the renormalization group flow and fixed points in quantum field theory.

2. Who is the author of the Perturbing Percacci paper?

The author of the Perturbing Percacci paper is Antonio E. Percacci, a theoretical physicist and professor at the University of Tübingen in Germany.

3. When was the Perturbing Percacci paper published?

The Perturbing Percacci paper was published in 2003 in the journal Physical Review D.

4. What is the significance of the Perturbing Percacci paper in the field of physics?

The Perturbing Percacci paper is considered a seminal work in the study of renormalization group flows and fixed points in quantum field theory, and has been widely cited and built upon by other researchers in the field.

5. What are some key concepts discussed in the Perturbing Percacci paper?

Some key concepts discussed in the Perturbing Percacci paper include the beta function, anomalous dimensions, and the non-perturbative renormalization group. The paper also explores the implications of these concepts for the behavior of quantum field theories at different energy scales.

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