The volume of a soliton
arXiv:1511.01104 · doi:10.1016/j.physletb.2016.01.009
Abstract
There exists, in general, no unique definition of the size (volume, area, etc., depending on dimension) of a soliton. Here we demonstrate that the geometric volume (area etc.) of a soliton is singled out in the sense that it exactly coincides with the thermodynamical or continuum-mechanical volume. In addition, this volume may be defined uniquely for rather arbitrary solitons in arbitrary dimensions.
16 pages, LaTex, no figures; published version; a discussion section and some references added