On the random vector potential model in two dimensions
Abstract
The random vector potential model describes massless fermions coupled to a quenched random gauge field. We study its abelian and nonabelian versions. The abelian version can be completely solved using bosonization. We analyse the nonabelian model using its supersymmetric formulation and show, by a perturbative renormalization 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.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1995
 DOI:
 10.1016/05503213(95)00095A
 arXiv:
 arXiv:hepth/9501087
 Bibcode:
 1995NuPhB.441..471B
 Keywords:

 High Energy Physics  Theory;
 Condensed Matter
 EPrint:
 11 pages, latex, no figures. Few equations and remarks added