|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'506'133
Articles rated: 2609
26 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Redundant operators in the exact renormalisation group and in the f(R) approximation to asymptotic safety | | Juergen A. Dietz
; Tim R. Morris
; | | Date: |
5 Jun 2013 | | Abstract: | In this paper we review the definition and properties of redundant operators
in the exact renormalisation group. We then apply this to the Local Potential
Approximation and approximations of a similar spirit such as the f(R)
approximation in the asymptotic safety programme in quantum gravity. We show
that these approximations can break down if the fixed point does not support a
’vacuum’ solution in the appropriate domain: all eigenoperators become
redundant and the physical space of perturbations collapses to a point. We show
that this is the case for the recently discovered lines of fixed points in the
f(R) flow equations. In contrast, although earlier versions of the f(R) flow
equations do not have globally well defined fixed point solutions, we show that
the partial solution picked out by high order truncations, does support a
’vacuum’ solution in the appropriate domain. As a consequence in this latter
case none of the eigenoperators are redundant. | | Source: | arXiv, 1306.1223 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER