The q-fermion numbers emerging from the q-fermion oscillator algebra are used to reproduce the q-fermionic Stirling and Bell numbers. New recurrence relations for the expansion coefficients in the 'anti-normal ordering' of the q-fermion operators are derived. The roles of the q-fermion numbers in q-stochastic point processes and the Bargmann space representation for q-fermion operators are expl...

We construct R-invariant grand unification models with composite Higgs multiplets. Higgs doublets are massless due to the R symmetry, which is not spontaneously broken at the unification scale, while Higgs triplets get large masses from a dynamically generated superpotential, which is allowed by an R anomaly.

We investigate dynamical symmetry breaking of the Gross-Neveu model in the lightfront formalism without introducing auxiliary fields. While this system cannot have zeromode constraints, we find that a nontrivial solution to the constraint on nondynamical spinor fields is responsible for symmetry breaking. The fermionic constraint is solved by systematic 1/N expansion using the boson expansion m...