Braided premonoidal coherence and the quark state confinement

William Joyce – 4 December 2002

The requirement that the Pauli exclusion principle holds for SU(3) colour leads unavoidably to a symmetric (and more importantly) premonoidal structure. An outline of this conclusion will be presented including the consequence that quark state confinement is an unavoidable condition for consistency in QFT. This does not imply spatial confinement, only that an individual quark cannot be isolated. Also in this talk I hope to present all this in the context of a category with a braided premonoidal structure including appropriate coherence results.