Speaker
Prof.
G. Bruce Mainland
(The Ohio State University at Newark)
Description
To begin exploring the possibility that leptons, quarks, or both, might be highly relativistic bound states, a numerical method for solving two-body, bound-state Bethe-Salpeter equations is discussed. This class of integral equations is difficult to solve, not because the equations are usually non-separable, but rather because it is typically impossible to discretize the equations in such a way that the coupling constant, which is real in the Lagrangian, is also always real when calculated as an eigenvalue of the discretized equation. Using the systematic method discussed here, complete sets of solutions with real coupling constants
can be calculated for many, if not all, two-body, bound-state Bethe-Salpeter equations.
Author
Prof.
G. Bruce Mainland
(The Ohio State University at Newark)