Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-05-15
JHEP 0904:020,2009
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, 6 figures. v3: small changes, version published on JHEP6
Scientific paper
10.1088/1126-6708/2009/04/020
In non-supersymmetric orbifolds of N =4 super Yang-Mills, conformal invariance is broken by the logarithmic running of double-trace operators -- a leading effect at large N. A tachyonic instability in AdS_5 has been proposed as the bulk dual of double-trace running. In this paper we make this correspondence more precise. By standard field theory methods, we show that the double-trace beta function is quadratic in the coupling, to all orders in planar perturbation theory. Tuning the double-trace coupling to its (complex) fixed point, we find conformal dimensions of the form 2 + i b, as formally expected for operators dual to bulk scalars that violate the stability bound. We also show that conformal invariance is broken in perturbation theory if and only if dynamical symmetry breaking occurs. Our analysis is applicable to a general large N field theory with vanishing single-trace beta functions.
Pomoni Elli
Rastelli Leonardo
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