Dolan, Brian P.
(1997)
Geodesic renormalization group flow.
Working Paper.
arXiv.
Abstract
It is shown that the renormalisation group flow in coupling constant space can be interpreted in terms of a dynamical equation for the couplings analogous to viscous fluid flow under the action of a potential. For free scalar field theory the flow is geodesic in two dimensions, while for D≠2 it is only geodesic in certain limits, e.g. for vanishing external source. For the 1-D Ising model the renormalisation flow is geodesic when the external magnetic field vanishes.
| Item Type: |
Monograph
(Working Paper)
|
| Keywords: |
Geodesic; renormalization group flow; coupling constant space; |
| Academic Unit: |
Faculty of Science and Engineering > Mathematical Physics |
| Item ID: |
10501 |
| Identification Number: |
https://doi.org/10.1142/S0217751X97001407 |
| Depositing User: |
Dr. Brian Dolan
|
| Date Deposited: |
18 Feb 2019 16:38 |
| Publisher: |
arXiv |
| URI: |
|
| Use Licence: |
This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available
here |
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