Jonathan Lenaghan

Deconfining Phase Transition as a Matrix Model of Renormalized Polyakov Loops

We discuss how to extract renormalized loops from bare Polyakov loops in

Abelianization of QCD plasma instabilities

\mathrm{SU}(N)

Deconfinement in matrix models about the Gross-Witten point

lattice gauge theories at nonzero temperature. Single loops in an irreducible representation are multiplicatively renormalized, without mixing, through mass renormalization. The values of renormalized loops in the four lowest representations of

Melting the diquark condensate in two color QCD: A Renormalization group analysis

\mathrm{SU}(3)

Subprocess size in hard exclusive scattering

were measured numerically on small, coarse lattices. We find that in magnitude, condensates for the sextet and octet loops are approximately the square of the triplet loop. This agrees with a large N expansion, where factorization implies that the expectation values of loops in adjoint and higher representations are powers of fundamental and antifundamental loops. The corrections to the large N relations at three colors are greatest for the sextet loop,

Renormalized Polyakov loops, matrix models and the Gross-Witten point

\ensuremath{\sim}1/N,

Fluctuation induced critical behavior at nonzero temperature and chemical potential

and are found to be

QCD plasma instabilities and bottom-up thermalization

l~25%.

Apparent Thermalization due to Plasma Instabilities in the Quark-Gluon Plasma

The values of the renormalized triplet loop can be described by a matrix model, with an effective action dominated by the triplet loop: the deconfining phase transition for

Parton Saturation and Hadron Production in d+Au Collisions

N=3