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Holographic and Wilsonian renormalization groups

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Abstract

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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Authors and Affiliations

  1. Department of Physics, University of California, Santa Barbara, CA, 93106, U.S.A.

    Idse Heemskerk

  2. Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA, 93106–4030, U.S.A.

    Joseph Polchinski

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  1. Idse Heemskerk
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  2. Joseph Polchinski
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Correspondence to Joseph Polchinski.

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ArXiv ePrint: 1010.1264

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Heemskerk, I., Polchinski, J. Holographic and Wilsonian renormalization groups. J. High Energ. Phys. 2011, 31 (2011). https://doi.org/10.1007/JHEP06(2011)031

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