Scalar Exchange Forces and Generalized Most Attractive Channel Rule

Details Scalar Exchange Forces and Generalized Most Attractive Channel Rule Scalar Exchange Forces and Generalized Most Attractive Channel Rule

2000-03-06

arxiv.org/abs/hep-ph/0003048v1

Phys.Rev. D63 (2001) 017702

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages plain Tex with no figures

Scientific paper

10.1103/PhysRevD.63.017702

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 $A+A \to A+A$, 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 $A+B \to B+A$, 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 $E_6$ grand unification.

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