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BL
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| Record Number
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772913
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| Doc. No
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b592907
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| Main Entry
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by O. I. Zavialov.
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| Title & Author
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Renormalized Quantum Field Theory\ by O. I. Zavialov.
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| Publication Statement
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Dordrecht : Springer Netherlands, 1990
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| Series Statement
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Mathematics and Its Applications (Soviet Series), 21.
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| Page. NO
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(XII, 524 p. :)
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| ISBN
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9400925859
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: 9401076685
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: 9789400925854
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: 9789401076685
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| Notes
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Bibliographic Level Mode of Issuance: Monograph.
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| Contents
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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 ‘without Subtraction’. Renormalization ‘over Asymptotes’ --; 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.
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| Abstract
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'Et moi. ... - Ii j'avait su CClIIIIIIaIt CD 1'CVCDir, ODe scmcc matbcmatK:s bas I'CIIdcRd!be je D', semis paiDt ~. humaD mcc. It bas put common sease bact Jules Vcmc 'WIIcR it bdoDp, 011!be topmost sbdl JlCXt 10!be dully c:uista' t.bdlcd 'cIiIc:arded DOlI- The series is diverpt; therefore we may be sense'. Eric T. BcII able 10 do sometbiD & with it O. Heavilide Mathematics is a tool for thought. A highly ncceuary tool in a world where both feedback and non- 1inearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the l'Iison d'etre of this series.
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| Subject
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Functional analysis.
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| Subject
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Mathematics.
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| Subject
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Quantum theory.
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| LC Classification
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QC175.45B965 1990
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| Added Entry
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O I Zavialov
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| Parallel Title
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Mathematics and Its Applications Soviet Series, vol. 21
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