Abstract
We calculate the energy acquired by the vacuum due to both a massless and massive Dirac neutrino propagating in an external neutron field, utilizing the quantum field theoretic approach of Schwinger. This method computes the vacuum energy to all orders in the coupling, using the interaction Hamiltonian for a neutrino in the presence of an external background of neutrons. To verify our results, we develop heuristic arguments to compute the energy of the neutrino condensate arising from a neutron-induced chiral potential well. The results for the massive case are new, and are discussed in some detail. (c) 2000 The American Physical Society.
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