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arXiv · 0707.3517

On dilatation operator for a renormalizable theory

Corneliu Sochichiu
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Abstract

Given a renormalizable theory we construct the dilatation operator, in the sense of generator of RG flow of composite operators. The generator is found as a differential operator acting on the space of normal symbols of composite operators in the theory. In the spirit of AdS/CFT correspondence, this operator is interpreted as the Hamiltonian of the dual theory. In the case of a field theory with non-abelian gauge symmetry the resulting system is a matrix model. The one-loop case is analyzed in details and it is shown that we reproduce known results from N=4 supersymmetric Yang-Mills theory.

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Corneliu Sochichiu. 2007-08-28. On dilatation operator for a renormalizable theory. https://doi.org/10.1088/1126-6708%2F2007%2F09%2F025

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