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:	https://doi.org/10.1142/S0217732393002051
Depositing User:	Dr. Brian Dolan
Date Deposited:	19 Feb 2019 15:43
Publisher:	arXiv
URI:	https://arxiv.org/
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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