Abstract
We show from the action integral that in the special environment of a flux tube, in () dimensional space-time can be approximately compactified into in () dimensional space-time. In such a process, we find out how the coupling constant in is related to the coupling constant in . We show how the quark and the gluon in acquire contributions to their masses arising from their confinement within the tube and how all these quantities depend on the excitation of the partons in the transverse degrees of freedom. The compactification facilitates the investigation of some dynamical problems in in the simpler dynamics of where the variation of the gluon fields leads to a bound state.
- Received 5 July 2012
DOI:https://doi.org/10.1103/PhysRevD.86.125026
© 2012 American Physical Society