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- W2066686939 abstract "Abstract We obtain mathematically rigorous field equations for the Yukawa quantum field theory in two-dimensional space-time. The renormalized boson current j = −λ: ψ ψ: + δm 2 ϕ and the fermion current J = λψϕ are defined as bilinear forms continuous in space and time. As bilinear forms the boson field is shown to be twice continuously differentiable and the fermion field once continuously differentiable. The identities (□ + m 2 ) ϕ = j and [γ 0 ( ∂ ∂t ) + γ 1 ( ∂ ∂x ) + M]ψ = J are shown to hold. As distributions the terms in these equations define operators independent of all cutoffs. The results depend on detailed estimates of the renormalization cancellations in the theory. These estimates have other applications, one of which is a proof of the quadratic estimate dominating the fractional energy operator by the Hamiltonian." @default.
- W2066686939 created "2016-06-24" @default.
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- W2066686939 date "1972-07-01" @default.
- W2066686939 modified "2023-09-25" @default.
- W2066686939 title "Estimates, renormalized currents, and field equations for the Yukawa2 field theory" @default.
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- W2066686939 doi "https://doi.org/10.1016/0003-4916(72)90241-2" @default.
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