Conformal Field Theory Techniques in Large N YangMills Theory
Abstract
Following some motivating comments on large N twodimensional YangMills theory, we discuss techniques for large N group representation theory, using quantum mechanics on the group manifold U(N), its equivalence to a quasirelativistic twodimensional free fermion theory, and bosonization. As applications, we compute the free energy for twodimensional YangMills theory on the torus to O(1/N^2), and an interesting approximation to the leading answer for the sphere. We discuss the question of whether the free energy for the torus has R > 1/R invariance. A substantially revised version of hepth/9303159 with many new results.
 Publication:

arXiv eprints
 Pub Date:
 November 1993
 arXiv:
 arXiv:hepth/9311130
 Bibcode:
 1993hep.th...11130D
 Keywords:

 High Energy Physics  Theory
 EPrint:
 18 pp. (LaTeX)