| | |
| | |
Stat |
Members: 3645 Articles: 2'500'096 Articles rated: 2609
18 April 2024 |
|
| | | |
|
Article overview
| |
|
Background independent exact renormalization group for conformally reduced gravity | Juergen A. Dietz
; Tim R. Morris
; | Date: |
26 Feb 2015 | Abstract: | Within the conformally reduced gravity model, where the metric is
parametrised by a function $f(phi)$ of the conformal factor $phi$, we keep
dependence on both the background and fluctuation fields, to local potential
approximation and $mathcal{O}(partial^2)$ respectively, making no other
approximation. Explicit appearances of the background metric are then dictated
by realising a remnant diffeomorphism invariance. The standard non-perturbative
Renormalization Group (RG) scale $k$ is inherently background dependent, which
we show in general forbids the existence of RG fixed points with respect to
$k$. By utilising transformations that follow from combining the flow equations
with the modified split Ward identity, we uncover a unique background
independent notion of RG scale, $hat k$. The corresponding RG flow equations
are then not only explicitly background independent along the entire RG flow
but also explicitly independent of the form of $f$. In general $f(phi)$ is
forced to be scale dependent and needs to be renormalised, but if this is
avoided then $k$-fixed points are allowed and furthermore they coincide with
$hat k$-fixed points. | Source: | arXiv, 1502.7396 | 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 claudebot
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |