On The Random Vector Potential Model In Two Dimensions

Details On The Random Vector Potential Model In Two Dimensions On The Random Vector Potential Model In Two Dimensions

1995-01-19

arxiv.org/abs/hep-th/9501087v2

Nucl.Phys.B441:471-482,1995

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, latex, no figures. Few equations and remarks added

Scientific paper

10.1016/0550-3213(95)00095-A

The random vector potential model describes massless fermions coupled to a quenched random gauge field. We study its abelian and non-abelian versions. The abelian version can be completely solved using bosonization. We analyse the non-abelian model using its supersymmetric formulation and show, by a perturbative renormalisation group computation, that it is asymptotically free at large distances. We also show that all the quenched chiral current correlation functions can be computed exactly, without using the replica trick or the supersymmetric formulation, but using an exact expression for the effective action for any sample of the random gauge field. These chiral correlation functions are purely algebraic.

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