Abstract
The extension of relativistic quantum fields to dense systems of fermions strongly interacting via meson exchange is discussed. The direct application of quantum field theory methods in this context fails. The failure of this approach leads to an effective Lagrangian based on an approximation scheme naturally suited to high-density matter. The resulting model can be solved exactly for cold systems, and small temperature corrections may be added. The applications of this model to neutron stars and problems in elementary particle physics will be made in the following paper.
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