English

Scalar Exchange Forces and Generalized Most Attractive Channel Rule

High Energy Physics - Phenomenology 2009-10-31 v1

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 A+AA+AA+A \to A+A, 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 A+BB+AA+B \to B+A, 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 E6E_6 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