Holographic and Wilsonian Renormalization Groups

Details Holographic and Wilsonian Renormalization Groups Holographic and Wilsonian Renormalization Groups

2010-10-06

arxiv.org/abs/1010.1264v2

JHEP 1106:031,2011

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, 3 figures. v2: Minor clarifications. Added references

Scientific paper

10.1007/JHEP06(2011)031

We develop parallels between the holographic renormalization group in the bulk and the Wilsonian renormalization group in the dual field theory. Our philosophy differs from most previous work on the holographic RG; the most notable feature is the key role of multi-trace operators. We work out the forms of various single- and double-trace flows. The key question, `what cutoff on the field theory corresponds to a radial cutoff in the bulk?' is left unanswered, but by sharpening the analogy between the two sides we identify possible directions.

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