Titlebook: Conformal Field Theory for Particle Physicists; From QFT Axioms to t Marc Gillioz Book 2023 The Editor(s) (if applicable) and The Author(s)

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Rifat Kamasak,Deniz Palalar Alkan theory. First, it is shown how a 4-point function of scalar operators can be decomposed into “conformal blocks” with the help of the operator product expansion. This expansion gives a series whose convergence properties are also briefly discussed. Since there are several inequivalent way of decompo

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https://doi.org/10.1007/978-3-031-27086-4conformal symmetry in Minkowski space-time; conformal correlation function; conformal bootstrap; Wightm

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Rifat Kamasak,Deniz Palalar Alkan which follows a peculiar pattern. This is illustrated with the Ising model in 3 dimensions. The chapter concludes on a presentation of other recent results obtained with the conformal bootstrap method.

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2191-5423 necessarily familiar with the concepts of conformal field theory. Prior knowledge of quantum field theory is needed to master the arguments..978-3-031-27085-7978-3-031-27086-4Series ISSN 2191-5423 Series E-ISSN 2191-5431

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Classical Conformal Transformations,algebra they form are then derived. Both Euclidean space and Minkowski space-time are considered. The subtle action of special conformal transformations in space-time is discussed with the help of compactifications into curved spaces. The concept of conformal symmetry in classical field theory is al

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Conformal Correlation Functions,tinued in complex time to obtain correlation functions in Euclidean coordinates, and how the Euclidean space can be embedded in a larger space with two more dimensions (one spatial and one temporal). Conformal transformations take a particularly simple form in this “embedding space”. The remarkable