From confining fields on the lattice to higher dimensions in the continuum
Abstract
Description
We discuss relation between lattice phenomenology of confining fields in the vacuum state of Yang-Mills theories (mostly SU(2) case) and continuum theories. In the continuum, understanding of the confinement is most straightforward in the dual formulation which involves higher dimensions. We try to bridge these two approaches to the confinement, let it be on a rudimentary level. We review lattice data on low-dimensional defects, that is monopoles, center vortices, topological defects. There is certain resemblance to dual strings, domain walls, introduced in large-N Yang-Mills theories.
21 pages; based on three lectures given at the Conference ``Infrared QCD in Rio'', Rio de Janeiro, Brazil, 5-0 June 2006
21 pages; based on three lectures given at the Conference ``Infrared QCD in Rio'', Rio de Janeiro, Brazil, 5-0 June 2006