A holographic effective Hamiltonian with a ghost subtraction reproduces all leading-twist operator dimensions of the O(2) model at order epsilon squared for all charges and spins.
The spectrum of the anomalous dimensions of the composite operators in the $\epsilon$ - expansion in the scalar $\phi^4$ - field theory
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The spectrum of the anomalous dimensions of the composite operators (with arbitrary number of fields $n$ and derivatives $l$) in the scalar $\phi^4$ - theory in the first order of the $\epsilon$ -expansion is investigated. The exact solution for the operators with number of fields $\leq 4$ is presented. The behaviour of the anomalous dimensions in the large $l$ limit has been analyzed. It is given the qualitative description of the %structure of the spectrum for the arbitrary $n$.
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Towards Large-Spin Effective Theory II: $O(2)$ model in $d=4-\epsilon$
A holographic effective Hamiltonian with a ghost subtraction reproduces all leading-twist operator dimensions of the O(2) model at order epsilon squared for all charges and spins.