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Titlebook: Concepts in Quantum Field Theory; A Practitioner‘s Too Victor Ilisie Textbook 2016 The Editor(s) (if applicable) and The Author(s), under e

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Homological Finiteness Properties of Groupsg relations among the various Dirac matrices and we present the basics of calculating spinor traces. The tools given here can be used to further calculate lengthy and more complicated traces involving Dirac matrices. The transformation of spinors under Lorentz transformations is also presented consi
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The Borel Construction and Bass-Serre Theorylculations are made as explicit as possible, in order to clarify many of the confusions that may arise when treating this topic. We will restrict our attention to the most academic example, which is (in my opinion) the QED Lagrangian. We shall use the dimensional regularization approach in . dimensi
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Homological Finiteness Properties of Groups extensively treated. One example of IR-pole cancellation is presented. The two and three-body phase space integrals in . dimensions, needed for the calculation of IR divergent cross sections are also given. Last, the usage of the generic parametrization (.) for non-integer powers of propagators (wh
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Some Techniques in Homotopy Theory starting the calculation process the problem should be reduced to its minimal form. Here we will present an example of how to reduce the number of calculated diagrams for a given process (which in this case will be a Higgs-like scalar decay to two photons through a charged scalar loop) using gauge
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Filtered Ends of Pairs of Groupss well as the renormalization group equations for the Wilson coefficients. Afterwards we shall focus on one illustrative example and present the . procedure at the one-loop level. The infrared behaviour of EFTs is also covered with this example.
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