Using REDUCE in High Energy Physics

Describes the use of the symbolic manipulation language REDUCE in particle physics.

A. G. Grozin (Author)

9780521019521, Cambridge University Press

Paperback, published 8 September 2005

404 pages, 104 b/w illus. 40 music examples 40 exercises
24.4 x 17 x 2 cm, 0.648 kg

This book describes the use of the symbolic manipulation language REDUCE in particle physics. There are several general purpose mathematics packages available to physicists, including Mathematica, Maple, and REDUCE. Each has advantages and disadvantages, but REDUCE has been found to be both powerful and convenient in solving a wide range of problems. This book introduces the reader to REDUCE and demonstrates its utility as a mathematical tool in physics. The first chapter of the book describes the REDUCE system, including some library packages. The following chapters show the use of REDUCE in examples from classical mechanics, hydrodynamics, general relativity and quantum mechanics. The rest of the book systematically presents the Standard Model of particle physics (QED, weak interactions, QCD). A large number of scattering and decay processes are calculated with REDUCE. All example programs from the book can be downloaded via Internet, from http://www.inp.nsk.su/~grozin/book/. The emphasis throughout is on learning through worked examples.

Preface
Part I. REDUCE Language: 1. Welcome to REDUCE
2. Functions and substitutions
3. REDUCE as a programming language
4. Additional facilities
5. Matrices, vectors, tensors, operators
6. Input-output
7. Examples
Part II. Selected Problems in Classical Physics: 8. The classical nonlinear operator
9. Nonlinear water waves
10. Calculation of the curvature tensor
11. Examples
Part III. Quantum Mechanics: 12. Adding angular momenta
13. The quantum nonlinear oscillator
14. A rotator in a weak field
15. Radiative transitions in charmonium
16. Examples
Part IV. Quantum Electrodynamics: 17. Kinematics
18. Fields
19. Feynman diagrams
20. Scattering in an external field
21. Charged particle scattering
22. Photon-electron scattering
23. Positronium annihilation
Part V. Weak Interactions: 24. Electroweak interaction
25. W and Z decays
26. Weak decays
27. W production
Part VI. Quantum Chromodynamics: 28. Feynman diagrams in QCD
2.e+e- annihilation into hadrons
29. Charmonium decays
30. Quark and gluon scattering
Part VII. Radiative Corrections: 31. Dimensional regularization and renormalization
32. Radiative corrections in quantum electrodynamics
33. Radiative corrections in quantum chromodynamics
References
Index.

Subject Areas: Particle & high-energy physics [PHP]