Irrelevant deformations and the holographic Callan-Symanzik equation
arXiv:1105.5396 · doi:10.1007/JHEP10(2011)067
Abstract
We discuss the systematics of obtaining the Callan-Symanzik equation within the framework of the gauge/gravity dualities. We present a completely general formula which in particular takes into account the new holographic renormalization results of arXiv:1102.2239. Non-trivial beta functions are obtained from new logarithmic terms in the radial expansion of the fields. The appearance of multi-trace counterterms is also discussed in detail and we show that mixing between single- and multi-trace operators leads to very specific non-linearities in the Callan-Symanzik equation. Additionally, we compute the conformal anomaly for a scalar three-point function in a CFT.
40 pages
References in corpus (8)
- Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
- Gravity duals for non-relativistic CFTs
- Precision holography for non-conformal branes
- Universal hydrodynamics of non-conformal branes
- Holography for Schrodinger backgrounds
- Large N Field Theory and AdS Tachyons
- Holographic renormalization for irrelevant operators and multi-trace counterterms
- Holography for chiral scale-invariant models
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