Double Longitudinal Spin Asymmetry Measurement for Inclusive Jet Production at STAR

A primary objective of the RHIC Spin physics program is the determination of the polarized gluon distribution function, $\Delta G$, in the nucleon. Measurements of the double longitudinal asymmetry $A_{LL}$ in 200 GeV polarized protons, from which $\Delta G$ can be extracted, have been presented previously by STAR in a number of channels from data collected in 2003 through 2005. The inclusive jet channel is of particular importance because it provides both a relatively large cross section and a direct probe into the initial state parton dynamics. STAR's previous inclusive jet results have constrained the allowed models of gluon polarization. The p+p data from run 2006 represent a sample of 9 $pb^{-1}$ integrated luminosity and $\sim 60\%$ polarized beams. We will present progress towards the $A_{LL}$ measurement from the run 2006 data set as well as our recent results from runs 2005 and 2003/4.