EAN: 9783030047375

FROM CLASSICAL FIELD THEORY TO PERTURBATIVE QUA...

This book develops a novel approach to perturbative quantum field theory: starting with a
perturbative formulation of classical field theory  quantization is achieved by means of
deformation quantization of the underlying free theory and by applying the principle that as
much of the classical structure as possible should be maintained. The resulting formulation of
perturbative quantum field theory is a version of the Epstein-Glaser renormalization that is
conceptually clear  mathematically rigorous and pragmatically useful for physicists. The
connection to traditional formulations of perturbative quantum field theory is also elaborated
on  and the formalism is illustrated in a wealth of examples and exercises.

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