Structure of Yang-Mills field theory in the framework of many-body approximations

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Abstract
The structure of the many-body problem defined by the regularized Coulomb-gauge Hamiltonian of an SU(n) Yang-Mills field theory is investigated. Results for the glueball spectrum within a recently proposed Bogoliubov approximation are presented. A consistent continuum limit is not reached in this frame because nonlogarithmic divergences do not cancel. In order to guarantee this cancellation structure, an extension of the Bogoliubov scheme, a combination of the exp(S) formalism and cluster expansion (constructed in analogy to the hole-line expansion of standard many-body theory) is introduced. Results for the ground state (= vacuum state) within this new framework are presented and discussed.