Abstract
The reformulation of classical theory done in Chap. 3 served as a preparation for constructing QFT models. The framework that we are going to use is deformation quantization combined with causal perturbation theory. To quantize a given theory described by the action S we first need to split S into a free part \(S_0\) (at most quadratic in field configurations) and the interaction term \(S_I\). Then, we quantize the theory defined by \(S_0\), using deformation quantization based on a Moyal-type formula, and in the final step we will re-introduce the interaction using causal perturbation theory. This last step will be discussed in Chap. 6, while the present chapter deals with deformation quantization.
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Rejzner, K. (2016). Deformation Quantization. In: Perturbative Algebraic Quantum Field Theory. Mathematical Physics Studies. Springer, Cham. https://doi.org/10.1007/978-3-319-25901-7_5
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DOI: https://doi.org/10.1007/978-3-319-25901-7_5
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