Abstract
When computing higher order corrections in quantum field theory, divergences must show up. A method for deducing finite consequences by a suitable interpretation is called a renormalization theory. The basic idea of such a formalism is to specify a way of separating the Lagrangian density into the free part and the interaction part. This grouping is related to the definition of the interaction picture. We call the interaction picture defined by the correct grouping a renormalized interaction picture. Several properties of the Green’s functions discussed in the previous chapter hold true in the renormalized interaction picture, while they may not hold true in other pictures. In this chapter, in order to show that such a separation of the Lagrangian or the Hamiltonian is not necessarily trivial, we first review the scattering theory in non-relativistic quantum mechanics. The formal system discussed here has many similarities with the S-matrix theory based on the reduction formula given in the previous chapter.
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Nishijima, K., Chaichian, M., Tureanu, A. (2023). Renormalization Theory. In: Chaichian, M., Tureanu, A. (eds) Quantum Field Theory. Springer, Dordrecht. https://doi.org/10.1007/978-94-024-2190-3_12
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DOI: https://doi.org/10.1007/978-94-024-2190-3_12
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