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Titlebook: Lectures on Classical and Quantum Theory of Fields; Henryk Arodz,Leszek Hadasz Textbook 2017Latest edition Springer International Publishi

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Relativistic Invariance and the Spectral Decomposition of ,,he Poincaré group, and their commutation relations. The spectral decomposition of the two-point function . in the quantum theory of the real scalar field. The contribution of the single particle states. The pole of . at the physical value of . of the single particle. Finite mass corrections to the r
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Path Integrals in QFT,m theory of the real scalar field. Rederivation of the perturbative expansion for the . model. Integration over Grassmann variables. Path integral formula for the generating functional in the theory of the quantum Dirac field.
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The Perturbative Expansion for Non-Abelian Gauge Fields, ghost fields. The correct path integral representation of the Green’s functions of local gauge-invariant operators. Feynman diagrams for the pure non-Abelian gauge field theory. The essential role of the gauge fixing term in the classical effective action. BRST invariance of the effective action an
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The Perturbative Expansion for Non-Abelian Gauge Fields,-Abelian gauge field theory. The essential role of the gauge fixing term in the classical effective action. BRST invariance of the effective action and of the measure in the path integral. The Slavnov–Taylor identity for the generating functional of Green’s functions.
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The Simplest Supersymmetric Models,l and the Feynman diagrams for it. Examples of the mutual cancellation of ultraviolet divergences. The supersymmetric gauge theory. The . extended supersymmetry. A glossary of formulas used in the analysis of supersymmetric models.
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The Quantum Theory of Free Fields, method and quantization of the free Dirac field. The Dirac vacuum and the appearance of a free, relativistic, spin 1/2 particle and its antiparticle. Extraction of the physical degrees of freedom of the free electromagnetic field. The canonical quantization of the electromagnetic field and the appearance of a free, massless particle (the photon).
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