Affiliation:
1. Berkeley Center for Theoretical Physics, University of California, Berkeley, CA 94720, USA
Abstract
The relation between scale invariance and conformal invariance is a subtle but important unsolved problem in the quantum field theory. We study a holographic approach to this problem and show that the null energy condition in the bulk effective gravitational theories guarantees the equivalence between the scale invariance and conformal invariance of the boundary theories. We also investigate the higher-dimensional compactification, where the warping can generate additional possible violation of the conformal invariance. Our discussion is applicable in any dimension, and suggests a generalization of Zamolodchikov–Polchinski theorem that states the equivalence in (1+1) dimension from the purely field theory viewpoint.
Publisher
World Scientific Pub Co Pte Lt
Subject
Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics
Reference29 articles.
1. Scale and conformal invariance in quantum field theory
2. G. 't Hooft, Salamfest, eds. A. Ali, J. Ellis and S. Randjbar-Daemi (World Scientific, Singapore, 1993) pp. 284–296.
3. The world as a hologram
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