Confined Quantum Field Theory

Physics

Scientific paper

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Scientific paper

A consistent model for quantum field is constructed in which state functions in space have compact support. It is proved that all algebraic structures of the quantum field theory are preserved in this model. The momentum in this construction is a global conserved quantity. This makes it possible that the theory be compatible with the theory of relativity. This model answers some fundamental questions as locality. It is explicitly shown that divergent terms in Feynman Rules for λ∫4 theory can be finite without renormalization. We show also that this model can describes in more easier way phenomena in solid state as superconductivity and superfluidity. We also show that Feynman's conclusion of one photon experiment is a miss-interpretation. Based on Confined Quantum Field Theory a pre-super conducting state is constructed. These states are those that theirs domain are a multiple of the periodicity of the bulk. It is shown that such a state do not exchange energy with the bulk with periodic potential. If domains of some numbers of electrons are positioned in such a way that follow the periodicity of the bulk. These electrons do not exchange energy with neither the bulk nor with the pre-super conducting electrons. The stability character of such a collective states is compatible to the states of super conductivity and superfluidity.

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