'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.
Rezensionen / Stimmen
`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
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Research
Illustrationen
Maße
Höhe: 241 mm
Breite: 160 mm
Dicke: 34 mm
Gewicht
ISBN-13
978-90-277-2758-9 (9789027727589)
DOI
10.1007/978-94-009-2585-4
Schweitzer Klassifikation
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.
