Longitudinal Rescaling, Integrability and Confinement
Peter Orland
Baruch College, City University of New York
In the limit as the number of transverse dimensions goes to zero,
Yang-Mills theory reduces to a 1+1-dimensional model, which is
asymptotically free and completely integrable. Integrability is
exploited to study a confining gauge theory in 2+1 dimensions and
a crude model of high-energy scattering in 3+1 dimensions. The
latter model arises from QCD by applying a large longitudinal
rescaling. Anomalous dimensions of this rescaling have been
calculated to one loop.