A purely algebraic construction of a gauge and renormalization group invariant scalar glueball operator

作者：Dudal D^*; Sorella S P; Vandersickel N; Verschelde H

来源：European Physical Journal C, 2009, 64(1): 147-159.

DOI：10.1140/epjc/s10052-009-1139-3

This paper presents a complete algebraic proof of the renormalizability of the gauge invariant d=4 operator F (mu nu) (2) (x) to all orders of perturbation theory in pure Yang-Mills gauge theory, whereby working in the Landau gauge. This renormalization is far from being trivial as mixing occurs with other d=4 gauge variant operators, which we identify explicitly. We determine the mixing matrix Z to all orders in perturbation theory by using only algebraic arguments and consequently we can uncover a renormalization group invariant by using the anomalous dimension matrix I" derived from Z. We also present a future plan for calculating the mass of the lightest scalar glueball with the help of the framework we have set up.

• 出版日期2009-11