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An Introduction to Gauge Theories
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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 integral formulation of quantum field theory. Key elements of gauge theories are described—Feynman diagrams, gauge-fixing, Faddeev-Popov ghosts—as well as renormalisation in Quantum Electrodynamics. Quarks and QCD interactions are introduced. Renormalisation group and high-momentum behaviour of the coupling constants are discussed in both QED and QCD, with asymptotic freedom derived at one-loop. These concepts are related to the Higgs boson mass and models of grand unification. The new edition has been updated throughout, with two new chapters presenting an outline of Lattice QCD field theory and the renormalisation group analysis of the prominent ΔI = 1/2 rule in kaon decay. The most recent Lattice QCD results on the light quark mass spectrum and on a quantitative justification of the ΔI = 1/2 rule are also discussed. The Chapter on the anomalous magnetic moment of the muon now includes an update on the Lattice QCD determination of the hadronic vacuum polarisation contribution, which turns out to be in good agreement with the most recent experimental determination of the muon g-2. Key Features: • Contains renormalisation of QED with examples worked out in full detail alongside original derivations of Ward identities. • Discusses applications including the calculation of the β functions of QED and QCD and the electro-weak muon anomaly. • Explores fundamental constants at very high energy to introduce to theories of grand unification, the unnaturalness of scalar fields and the motivations for new physics beyond the Standard Theory.
This book is included in DOAB.
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Keywords
- advanced quantum field theory concepts
- chiral symmetry breaking
- Feynman diagrams
- high energy
- lattice field theory
- Luciano Maiani
- muon g-2 anomaly
- non-Abelian gauge
- Nuclear physics
- Omar Benhar
- Particle Physics
- Quantum field theory
- Renormalization group
- Standard Model
- thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics
- thema EDItEUR::P Mathematics and Science::PH Physics::PHF Materials / States of matter::PHFC Condensed matter physics (liquid state and solid state physics)
- thema EDItEUR::P Mathematics and Science::PH Physics::PHM Atomic and molecular physics
- thema EDItEUR::P Mathematics and Science::PH Physics::PHP Particle and high-energy physics
- thema EDItEUR::P Mathematics and Science::PH Physics::PHQ Quantum physics (quantum mechanics and quantum field theory)
Links
DOI: 10.1201/9781003560708Editions