Toward a Mininum Criteria of Multi Dimensional Instanton Formation for   Condensed Matter Systems?
  Our paper generalizes techniques initially explicitly developed for CDW applications only with respect to what is needed for multi dimensional instantons forming in complex condensed matter applications. This involves necessary conditions for formulation of a soliton- anti soliton pair,assuming a minimum distance between charge centers, and discusses the prior density wave physics example as to why a Pierels gap term is added to the tilted washboard potential for insuring the formation of scalar potential fields . We state that much the same methodology is needed for higher dimensional condensed matter systems/ giving an explicit reference to two dimensional instantons as presented by Lu, and indicating further development in higher dimensions is warranted 
A.W.Beckwith