24–31 Jul 2009
Wayne State University
US/Eastern timezone

Could leptons, quarks or both be highly relativistic, bound states of a minimally interacting fermion and scalar?

31 Jul 2009, 17:10
20m
Wayne State University

Wayne State University

Detroit, Michigan 48201, USA
Beyond the Standard Model Beyond the Standard Model IV

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)

Presentation materials