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AuthorZavialov, O. I. author
TitleRenormalized Quantum Field Theory [electronic resource] / by O. I. Zavialov
ImprintDordrecht : Springer Netherlands, 1990
Connect tohttp://dx.doi.org/10.1007/978-94-009-2585-4
Descript XII, 524 p. online resource

CONTENT

I. Elements of Quantum Field Theory -- 1. Quantum Free Fields -- 2. The Chronological Products of Local Monomials of the Free Field -- 3. Interacting Fields -- II. Parametric Representations for Feynman Diagrams. R-Operation -- 1. Regularized Feynman Diagrams -- 2. Bogoliubov-Parasiuk R-Operation -- 3. Parametric Representations for Renormalized Diagrams -- III. Bogoliubov-Parasiuk Theorem. Other Renormalization Schemes -- 1. Existence of Renormalized Feynman Amplitudes -- 2. Infrared Divergencies and Renormalization in Massless Theories -- 3. The Proof of Theorems 1 and 2 -- 4. Analytic Renormalization and Dimensional Renormalization -- 5. Renormalization โ{128}{152}without Subtractionโ{128}{153}. Renormalization โ{128}{152}over Asymptotesโ{128}{153} -- IV. Composite Fields. Singularities of the Product of Currents at Short Distances and on the Light Cone -- 1. Renormalized Composite Fields -- 2. Products of Fields at Short Distances -- 3. Products of Currents at Short Distances -- 4. Products of Currents near the Light Cone -- 5. Equations for Composite Fields -- 6. Equations for Regularized Green Functions -- V. Renormalization of Yang-Mills Theories -- 1. Classical Theory and Quantization -- 2. Gauge Invariance and Invariant Renormalizability -- 3. Invariant Regularization and invariant Renormalization Schemes -- 4. Anomalies -- Appendix. On Methods of Studying Deep-Inelastic Scattering -- A.1. Deep-Inelastic Scattering -- A.2. The Traditional Approach to Deep-Inelastic Scattering -- A.3. The Non-Local Light-Cone Expansion as the Basic Tool to Study Deep-Inelastic Scattering -- A Guide to Literature -- References


Mathematics Functional analysis Quantum physics Atoms Physics Mathematics Functional Analysis Quantum Physics Atomic Molecular Optical and Plasma Physics



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