O. I. Zavialov

Renormalized Quantum Field Theory

• Broschiertes Buch

Produktbeschreibung

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Produktdetails

• Mathematics and Its Applications 21
• Verlag: Springer / Springer Netherlands
• Artikelnr. des Verlages: 978-94-010-7668-5
• 1990
• Seitenzahl: 540
• Erscheinungstermin: 1. Oktober 2011
• Englisch
• Abmessung: 235mm x 155mm x 29mm
• Gewicht: 809g
• ISBN-13: 9789401076685
• ISBN-10: 9401076685
• Artikelnr.: 39499855

Inhaltsangabe

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.

Rezensionen

`In the reviewer's opinion, this book is certainly one of the most valuable monographs on quantum field theory in recent years.'
Mathematical Reviews, 91k, 1991

`In the reviewer's opinion, this book is certainly one of the most valuable monographs on quantum field theory in recent years.'
Mathematical Reviews, 91k, 1991