Strong-coupling approach to ground-state properties of the Anderson lattice-model

A Slave-Boson perturbational approach to ground-state properties of the $U\to\infty$ periodic Anderson model is derived as an expansion around the Atomic Limit ($V=0$). In the case of zero temperature any constraint-integral or limiting procedure can be avoided, a gauge-symmetry broken Mean-Field phase is not involved. Physical quantities like the wave vector $k$ dependent Green's function obey a direct representation in Feynman-skeleton diagrams in $k$-space. A self-consistent $1/N$-expansion is derived, and its relation to the limit of infinite spatial dimension $d\to\infty$ is pointed out.