Buch, Englisch, Band 21, 524 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 2050 g
Buch, Englisch, Band 21, 524 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 2050 g
Reihe: Mathematics and its Applications
ISBN: 978-90-277-2758-9
Verlag: Springer Netherlands
'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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
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.