ABSTRACT

Written by world-leading experts in particle physics, this new book from Luciano Maiani and Omar Benhar, with contributions from the late Nicola Cabibbo, is based on Feynman’s path integrals. Key elements of gauge theories are described—Feynman diagrams, gauge-fixing, Faddeev-Popov ghosts—as well as renormalization in Quantum Electrodynamics. Quarks and QCD interactions are introduced. Renormalization group and high momentum behaviour of the coupling constants is discussed in QED and QCD, with asymptotic freedom derived at one-loop. These concepts are related to the Higgs boson and models of grand unification.

"… an excellent introduction to the quantum theory of gauge fields and their applications to particle physics. … It will be an excellent book for the serious student and a good reference for the professional practitioner. Let me add that, scattered through the pages, we can find occasional traces of Nicola Cabibbo's style."
—John Iliopoulos, CNRS-Ecole Normale Supérieure

" 
… The volume ends with an illuminating description of the expectation generated by the recent discovery of the Higgs boson, combined with the lack of evidence for super-symmetric particles in the mass range 0.6-1 TeV."
—Arturo Menchaca-Rocha, FinstP, Professor of Physics, Mexico’s National Autonomous University, Former President of the Mexican Academy of Sciences, Presidential Advisor

"…The reader is masterfully guided through the subtleties of the quantum field theory and elementary particle physics from simple examples in Quantum Mechanics to salient details of modern theory."
—Mikhail Voloshin, Professor of Physics, University of Minnesota

chapter 1|4 pages

Introduction

chapter 2|11 pages

The Feynman Path Integral

chapter 3|19 pages

Towards a Field Theory

chapter 5|11 pages

The Electromagnetic Field

chapter 6|17 pages

Fermion Fields

chapter 7|13 pages

Scattering Processes and The S-Matrix

chapter 10|15 pages

Quantum Electrodynamics

chapter 11|16 pages

Renormalisation of QED

chapter 12|19 pages

Applications of QED

chapter 13|8 pages

Renormalisation Group of QED

chapter 14|12 pages

Quantising a Non-Abelian Theory

chapter 15|10 pages

The β $ \beta $ Function in QCD

chapter 16|11 pages

Unitarity and Ghosts

chapter 18|9 pages

Limits on the Mass of the Higgs Boson

chapter 19|11 pages

The Weak Muon Anomaly

chapter 20|17 pages

Effective Potential and Naturalness