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Single particles and composite systems in a mathematically rigorous formulation of relativistic quantum field theory

Michael Danos
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Abstract

We define quantum field theory by taking the Lagrangian action to be given as a sequence of mathematically well-defined functionals written in terms of operator fields fulfilling given \hbox{local} commutation relations. The renormalized solution fields have a fully defined Fock space expansion and are \hbox{multi-local}; thus Haag's theorem does not apply, i.e., the interaction picture exists. Also, the formalism allows immediately the definition of a wave function and the description of many-body bound-state systems.

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Michael Danos. 1997-03-05. Single particles and composite systems in a mathematically rigorous formulation of relativistic quantum field theory. https://arxiv.org/abs/hep-th/9703032

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