Universality and the renormalisation group

Litim, Daniel F (2005) Universality and the renormalisation group. Journal of High Energy Physics, 2005 (7). 005. ISSN 1126-6708

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Abstract

Several functional renormalisation group (RG) equations including Polchinski flows and Exact RG flows are compared from a conceptual point of view and in given truncations. Similarities and differences are highlighted with special emphasis on stability properties. The main observations are worked out at the example of O(N) symmetric scalar field theories where the flows, universal critical exponents and scaling potentials are compared within a derivative expansion. To leading order, it is established that Polchinski flows and ERG flows — despite their inequivalent derivative expansions — have identical universal content, if the ERG flow is amended by an adequate optimisation. The results are also evaluated in the light of stability and minimum sensitivity considerations. Extensions to higher order and further implications are emphasized.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Subjects: Q Science > QC Physics
Depositing User: Daniel Litim
Date Deposited: 06 Feb 2012 20:10
Last Modified: 13 Mar 2017 09:19
URI: http://sro.sussex.ac.uk/id/eprint/24416

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