Dilatation operator and Cayley graphs
M. Bonini, G. M. Cicuta, E. Onofri
TL;DR
This paper introduces a new algebraic approach to evaluate the spectrum of the Dilatation operator in large-N gauge theories, revealing numerous exact eigenstate sequences.
Contribution
It develops a novel method based on algebraic definitions to analyze the Dilatation operator's spectrum for scalar field traces at leading order.
Findings
Discovered many exact eigenstate sequences
Provided a new framework for spectrum evaluation
Enhanced understanding of operator spectra in gauge theories
Abstract
We use the algebraic definition of the Dilatation operator provided by Minahan, Zarembo, Beisert, Kristijansen, Staudacher, proper for single trace products of scalar fields, at leading order in the large-N 't Hooft limit to develop a new approach to the evaluation of the spectrum of the Dilatation operator. We discover a vast number of exact sequences of eigenstates.
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