43.7 For further reading
Pretty much every quantum field theory textbook has a treatment of the relativistic scalar field with more detail than given here, and significantly more physical motivation. A good example is [15] the lectures of Sidney Coleman, one that has some detailed versions of the calculations discussed here is chapter 5 of [16]. Chapter 2 of [67] covers the same material, with more discussion of the propagator and the causality question.
For a more detailed rigorous construction of the Klein-Gordon theory in terms of Fock space, closely related to the outline given in this chapter, three sources are
• Chapter X.7 of [73].
• Chapter 5.2 of [28]
• Chapter 8.2.2 of [17]
For a general axiomatic mathematical treatment of relativistic quantum fields as distribution-valued operators, some standard references are [88] and [12]. The second of these includes a rigorous construction of the Klein-Gordon theory.
For a treatment of relativistic quantum field theory relatively close to ours, not only for the Klein-Gordon theory of this chapter, but also for the spin- 1 theories of later chapters, see [33].
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