Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-03-10
JHEP 0507 (2005) 005
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, 2 figures; paragraph after (19), figure 2, and references added
Scientific paper
10.1088/1126-6708/2005/07/005
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.
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