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

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

2012-02-23

arxiv.org/abs/1202.5295v1

Physics

Nuclear Physics

Nuclear Theory

11 pages, 3 figures, Revtex

Scientific paper

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.

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