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Titlebook: Algebraic Renormalization; Perturbative Renorma Olivier Piguet,Silvio P. Sorella Book 1995 Springer-Verlag Berlin Heidelberg 1995 Anomalien

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0940-7677 in Brazil. Its aim is to present an introduction to the "algebraic" method in the perturbative renormalization of relativistic quantum field theory. Although this approach goes back to the pioneering works of Symanzik in the early 1970s and was systematized by Becchi, Rouet and Stora as early as 19
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https://doi.org/10.1057/9780230501072pproximation of the quantum theory — and then we shall proceed to the extension to all orders of perturbation theory, for very simple models with rigid symmetry. The main tool being the renormalized [12, 13, 14] version of the Schwinger action principle [56], the . (QAP), a section will be devoted to the latter.
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https://doi.org/10.1007/978-3-030-15693-0malization theorem due to Adler and Bardeen [118] states that the gauge anomaly is definitively absent if the coefficient . vanishes at the first order in .. This means that, for checking the consistency of a physical model, it is sufficient to examine the one-loop contribution to the anomaly.
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Nonrenormalization Theorems,malization theorem due to Adler and Bardeen [118] states that the gauge anomaly is definitively absent if the coefficient . vanishes at the first order in .. This means that, for checking the consistency of a physical model, it is sufficient to examine the one-loop contribution to the anomaly.
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Introduction,e underline, in particular, the well established and successful applications to the gauge theories of particle interactions: QED, the standard model, QCD and supersymmetric extensions thereof. Although a quantum theory of gravity has not yet been firmly formulated, there are now hopes for a consistent field theoretical description as well [3].
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Yang-Mills Gauge Theories,e and demonstrated its role in guarantying the unitarity of the .-matrix and the gauge independence of the physical observables, on the one hand, and set up the general iterative construction needed in the absence of an invariant regularization. Precisely the latter approach is called “algebraic renormalization” in the present book.
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