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Dolan, Brian P. (1993) Potential Flow Of The Renormalisation Group In A Simple Two Component Model. Working Paper. arXiv.
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Abstract
The renormalisation group (RG) flow on the space of couplings of a simple model with two couplings is examined. The model considered is that of a single component scalar field with ϕ4 self interaction coupled, via Yukawa coupling, to a fermion in flat four dimensional space. The RG flow on the two dimensional space of couplings, G, is shown to be derivable from a potential to sixth order in the couplings, which requires two loop calculations of the β-functions. The identification of a potential requires the introduction of a metric on G and it is shown that the metric defined by Zamalodchikov, in terms of two point correlation functions of composite operators, gives potential flow to this order.
| Item Type: | Monograph (Working Paper) |
|---|---|
| Keywords: | Potential Flow; Renormalisation Group; Simple Two Component Model; |
| Academic Unit: | Faculty of Science and Engineering > Mathematical Physics |
| Item ID: | 10510 |
| Identification Number: | 10.1142/S0217732393002051 |
| Depositing User: | Dr. Brian Dolan |
| Date Deposited: | 19 Feb 2019 15:43 |
| Publisher: | arXiv |
| Related URLs: | |
| 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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