The anomalous dimension of the composite operator A^2 in the Landau gauge
D. Dudal, H. Verschelde, S.P. Sorella
TL;DR
This paper proves that in Landau gauge Yang-Mills theory, the anomalous dimension of the composite operator A^2 is not independent but related to the gauge beta function and the gauge fields' anomalous dimension.
Contribution
It demonstrates that the anomalous dimension of A^2 can be expressed in terms of known renormalization group functions, simplifying its analysis.
Findings
The anomalous dimension of A^2 is not an independent parameter.
A linear relation connects the anomalous dimension of A^2 with the gauge beta function.
The relation is established within the algebraic renormalization framework.
Abstract
The local composite operator A^2 is analysed in pure Yang-Mills theory in the Landau gauge within the algebraic renormalization. It is proven that the anomalous dimension of A^2 is not an independent parameter, being expressed as a linear combination of the gauge beta function and of the anomalous dimension of the gauge fields.
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