Renormalized Quantum Field Theory

O.I. Zavialov (Autor)

Buch | Softcover

524 Seiten

2011
Springer (Verlag)
978-94-010-7668-5 (ISBN)

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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.

Reihe/Serie	Mathematics and its Applications ; 21
Reihe/Serie	Mathematics and its Applications ; 21
Zusatzinfo	XII, 524 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Sachbuch/Ratgeber ► Natur / Technik ► Garten
	Mathematik / Informatik ► Mathematik ► Analysis
	Naturwissenschaften ► Physik / Astronomie ► Atom- / Kern- / Molekularphysik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
ISBN-10	94-010-7668-5 / 9401076685
ISBN-13	978-94-010-7668-5 / 9789401076685
Zustand	Neuware