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Gauge Theories in Particle Physics From Relativistic Quantum Mechanics to QED (4th Edition) by Ian J. R. Aitchison, Anthony J. G. Hey
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**About this book :- **
**Gauge Theories in Particle Physics From Relativistic Quantum Mechanics to QED (4th Edition) ** written by
** Ian J. R. Aitchison, Anthony J. G. Hey **.
This new fourth edition retains the two-volume format, which has been generally well received, with broadly the same allocation of content as in the third edition. The principal new additions are, once again, dictated by substantial new experimental results – namely, in the areas of CP violation and neutrino oscillations, where great progress was made in the first decade of this century. Volume 2 now includes a new chapter devoted to CP violation and oscillations in mesonic and neutrino systems. Partly by way of preparation for this, volume 1 also contains a new chapter, on Lorentz transformations and discrete symmetries. We give a simple do-it-yourself treatment of Lorentz transformations of Dirac spinors, which the reader can connect to the group theory approach in appendix M of volume 2; the transformation properties of bilinear covariants are easily managed. We also introduce Majorana fermions at an early stage. This material is suitable for first courses on relativistic quantum mechanics, and perhaps should have been included in earlier editions (we thank a referee for urging its inclusion now).

**Book Detail :- **
** Title: ** Gauge Theories in Particle Physics From Relativistic Quantum Mechanics to QED
** Edition: ** 4th
** Author(s): ** Ian J. R. Aitchison, Anthony J. G. Hey
** Publisher: ** CRC Press
** Series: **
** Year: ** 2012
** Pages: ** 444
** Type: ** PDF
** Language: ** English
** ISBN: ** 978-1-4665-1302-0,1466513020
** Country: ** UK

**About Author :- **
The author ** Ian Johnston Rhind Aitchison ** is a physicist and retired academic who was Professor of Physics at the University of Oxford between 1996 and 2003. Aitchison born in 1936,he read mathematics at Peterhouse, Cambridge, graduating with a BA in 1958 then he completed a PhD in theoretical physics there in 1961. Between 1961 and 1963, Aitchison was a research associate at Brookhaven National Laboratory in New York, after a year at the Saclay Nuclear Research Centre in France, he worked as a research associate at the Cavendish Laboratory at the University of Cambridge from 1964 to 1966. In 1966, he was elected a fellow of Worcester College, Oxford, and appointed a university lecturer in theoretical physics; he was awarded the title of Professor of Physics in 1996 and retired in 2003. He remains an emeritus professor at the University of Oxford.

The author ** Anthony J. G. Hey ** was studied at King Edward's School, further studied at Birmingham and the University of Oxford. He graduated in physics in 1967, and a Doctor of Philosophy in theoretical physics in 1970. From 1970 through 1972 he was a postdoctoral fellow at California Institute of Technology (Caltech). He then moved to Geneva, Switzerland and worked as a fellow at CERN (the European organisation for nuclear research) for two years. Hey also worked about thirty years as an academic at University of Southampton.

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**Book Contents :- **
**Gauge Theories in Particle Physics From Relativistic Quantum Mechanics to QED (4th Edition) ** written by
** Ian J. R. Aitchison, Anthony J. G. Hey**
cover the following topics.

Part-I Introductory Survey, Electromagnetism as a Gauge Theory, and Relativistic Quantum Mechanics

1. The Particles and Forces of the Standard Model

2. Electromagnetism as a Gauge Theory

3. Relativistic Quantum Mechanics

4. Lorentz Transformations and Discrete Symmetries

Part-II Introduction to Quantum Field Theory

5. Quantum Field Theory I: The Free Scalar Field

6. Quantum Field Theory II: Interacting Scalar Fields

7. Quantum Field Theory III: Complex Scalar Fields, Dirac and Maxwell Fields; Introduction of Electromagnetic Interactions

Part-III Tree-Level Applications in QED

8. Elementary Processes in Scalar and Spinor Electrodynamics

9. Deep Inelastic Electron–Nucleon Scattering and the Parton Model

Part-IV Loops and Renormalization

10. Loops and Renormalization I: The ABC Theory

11. Loops and Renormalization II: QED

Indexes

A Non-relativistic Quantum Mechanics

B Natural Units

C Maxwell’s Equations: Choice of Units

D Special Relativity: Invariance and Covariance

E Dirac d-Function

F Contour Integration

G Green Functions

H Elements of Non-relativistic Scattering Theory

H.1 Time-independent formulation and differential cross section

H.2 Expression for the scattering amplitude: Born approximation

H.3 Time-dependent approach

I The Schr¨odinger and Heisenberg Pictures

J Dirac Algebra and Trace Identities

J.1 Dirac algebra

J.1.1 ? matrices

J.1.2 ?5 identities

J.1.3 Hermitian conjugate of spinor matrix elements

J.1.4 Spin sums and projection operators

J.2 Trace theorems

K Example of a Cross Section Calculation

K.1 The spin-averaged squared matrix element

K.2 Evaluation of two-body Lorentz-invariant phase space in ‘laboratory’ variables

L Feynman Rules for Tree Graphs in QED

L.1 External particles

L.2 Propagators

L.3 Vertices

References

Index

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