Quantum field theory for mathematicians / R. Ticciati.

Format:

Book

Author/Creator:

Ticciati, Robin, author.

Series:

Encyclopedia of mathematics and its applications ; v. 72.

Encyclopedia of mathematics and its applications ; volume 72

Language:

English

Subjects (All):

Quantum field theory.

Physical Description:

1 online resource (xii, 699 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 1999.

Language Note:

English

Summary:

The approach to quantum field theory in this book is part way between building a mathematical model of the subject and presenting the mathematics that physicists actually use. It starts with the need to combine special relativity and quantum mechanics and culminates in a basic understanding of the standard model of electroweak and strong interactions. The book is divided into five parts: 1. Canonical quantization of scalar fields; 2. Weyl, Dirac and vector fields; 3. Functional integral quantization; 4. The standard model of the electroweak and strong interactions; 5. Renormalization. This should be a useful reference for anybody with interests in quantum theory and related areas of function theory, functional analysis, differential geometry or topological invariant theory.

Contents:

1. Relativistic Quantum Mechanics

2. Fock Space, the Scalar Field, and Canonical Quantization

3. Symmetries and Conservation Laws

4. From Dyson's Formula to Feynman Rules

5. Differential Transition Probabilities and Predictions

6. Representations of the Lorentz Group

7. Two-Component Spinor Fields

8. Four-Component Spinor Fields

9. Vector Fields and Gauge Invariance

10. Reformulating Scattering Theory

11. Functional Integral Quantization

12. Quantization of Gauge Theories

13. Anomalies and Vacua in Gauge Theories

14. SU(3) Representation Theory

15. The Structure of the Standard Model

16. Hadrons, Flavor Symmetry, and Nucleon-Pion Interactions

17. Tree-Level Applications of the Standard Model

18. Regularization and Renormalization

19. Renormalization of QED: Three Primitive Divergences

20. Renormalization and Preservation of Symmetries

21. The Renormalization Group Equations.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-139-88676-2

0-511-97224-5

1-107-10343-6

1-107-09532-8

1-107-08911-5

0-511-83645-7

0-511-52642-3