Calculating the Jet Quenching Parameter $\hat{q}$ in Lattice Gauge Theory

Abstract

We present a framework where first principles calculations of jet modification may be carried out in a non-perturbative thermal environment. As an example of this approach, we compute the leading order contribution to the transverse momentum broadening of a high energy (near on-shell) quark in a thermal medium. This involves a factorization of a non-perturbative operator product from the perturbative process of scattering of the quark. An operator product expansion of the non-perturbative operator product is carried out and related via dispersion relations to the expectation of local operators. These local operators are then evaluated in quenched SU(2) lattice gauge theory.

14 pages, 9 figures, minor updates, references added, version accepted for publication in Phys. Rev. C

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• Estimating $\hat{q}$ in Quenched Lattice SU(2) Gauge Theory
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