UID:
almahu_9947366936602882
Format:
1 online resource (217 p.)
ISBN:
1-281-76659-3
,
9786611766597
,
0-08-087425-8
Series Statement:
Pure and applied mathematics ; v. 106
Content:
Renormalization
Note:
Includes index.
,
Front Cover; Renormalization; Copyright Page; Contents; Preface; Acknowledgments; Interoduction; Chapter 1. Basic Analysis; 1.1 Sets and the Heine-Borel Theorem; 1.2 Measure, Integration, and Fubini's Theorem; 1.3 Geometry in Rk; Notes; Chapter 2. Class Bn Functions and Feynman Integrals; 2.1 Definition of Class Bn Functions; 2.2 Structure of Feynman Integrals; Notes; Chapter 3. The Power-Counting Theorem and More; 3.1 Statement of the Theorem; 3.2 Proof of the Theorem in One Dimension; 3.3 Proof of the Theorem in an Arbitrary Finite Number of Dimensions; Notes
,
Chapter 4. / e ? + 0 Limit of Feynman Integrals and Lorentz Covariance4.1 Class Y(Rk) Functions (Test Functions); 4.2 Basic Estimates, e ? + 0 Limit,and Lorentz covariance; Notes; Chapter 5. The Subtraction Formalism; 5.1 Basic Definitions and Examples; 5.2 The Subtraction Scheme; 5.3 Convergence of the Subtraction Scheme; 5.4 The Unifying Theorem of Renormalization and Basic Identities; Notes; Chapter 6. Asymptotic Behavior in Quantum Field Theory; 6.1 Preliminary Asymptotic Estimates; 6.2 General Dimensional Analysis of Subtracted-Out Feynman Integrands; 6.3 High-Energy Behavior
,
6.4 General Asymptotic Behavior I6.5 Zero-Mass Behavior; 6.6 Low-Energy Behavior; 6.7 General Asymptotic Behavior II; 6.8 Generalized Decoupling Theorem; Notes; Appendix. Subtractions versus Counterterms; A.1 The Formal Unrenormalized Theory; A.2 Equivalence; Notes; References; List of Symbols; Index
,
English
Additional Edition:
ISBN 0-12-469450-0
Language:
English
