Scalar Exchange Forces and Generalized Most Attractive Channel Rule
Abstract
We discuss the possibility that fermionic condensates arise from the dominance of scalar exchange forces over vector gluon exchange. When a scalar in the adjoint representation is exchanged in the reaction , the usual most attractive channel (MAC) rule is reversed in sign, with the consequence that the formation of a condensate with the largest possible Casimir is favored. More generally, when a scalar in a general representation is exchanged in the reaction , the group theoretic sum giving the force sign and strength can be expressed in terms of a Racah coefficient for the group in question. We illustrate the formalism in the case of the group SU(2), and give possible applications to SO(10) and grand unification.
Keywords
Cite
@article{arxiv.hep-ph/0003048,
title = {Scalar Exchange Forces and Generalized Most Attractive Channel Rule},
author = {Stephen L. Adler},
journal= {arXiv preprint arXiv:hep-ph/0003048},
year = {2009}
}
Comments
13 pages plain Tex with no figures