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In this chapter we will take the cable railway. We postpone the mountain climbing to Vol. IV on quantum mathematics. There exist the following two basic approaches to quantum field theory:

  1. (S)

    the S-matrix approach (scattering matrix), and

  2. (G)

    the Green’s function approach (correlation functions).

The main ideas are discussed in Chaps. 14 and 15 of Vol. I. A detailed study will be carried out in Vol. IV. Roughly speaking, the two approaches (S) and (G) are equivalent to each other.

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© 2009 Springer-Verlag Berlin Heidelberg

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(2009). Perspectives. In: Quantum Field Theory II: Quantum Electrodynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85377-0_20

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