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Renormalizability of the dimension two gluon operator $A^{2}$ in a class of nonlinear covariant gauges

V. E. R. Lemes·R. F. Sobreiro·S. P. Sorella
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Abstract

In this work we discuss a class of nonlinear covariant gauges for Yang-Mills theories which enjoy the property of being multiplicatively renormalizable to all orders. This property follows from the validity of a linearly broken identity, known as the ghost Ward identity. Furthermore, thanks to this identity, it turns out that the local composite dimension two gluon operator $A_μ^{a}A_μ^{a}$ can be introduced in a mulptiplicatively renormalizable way.

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V. E. R. Lemes, R. F. Sobreiro, S. P. Sorella. 2007-03-20. Renormalizability of the dimension two gluon operator $A^{2}$ in a class of nonlinear covariant gauges. https://doi.org/10.1088/1751-8113%2F40%2F14%2F017

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