The Trilinear Gluon Condensate on the Lattice

We study the operator g 3 ƒ abc F μν a F νϱ b F ϱμ c on the lattice. We perform the additive and multiplicative renormalizations needed to define its condensate G 3 to one loop and calculate the mixing with lower dimensional operators. We also perform a Monte Carlo calculation and use our analytical results to extract the numerical value of G 3 . In all this, we pay special attention to problems particular to the extraction from Monte Carlo data of matrix elements of higher dimensional operators in general.

lattice field theory
gauge field theory: SU(2)
gluon: condensation
operator: higher-dimensional
renormalization
numerical calculations: Monte Carlo

References(23)

Figures(0)

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