An Introduction to Gauge Theories
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-fixi...
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| 格式: | Online |
| 語言: | 英语 |
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Taylor & Francis
2025
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| 在線閱讀: | ONIX_20251201T114739_9781040370278_5 |
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| _version_ | 1869527519326109696 |
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| author | Cabibbo, Nicola Maiani, Luciano Benhar, Omar |
| author_browse | Benhar, Omar Cabibbo, Nicola Maiani, Luciano |
| author_facet | Cabibbo, Nicola Maiani, Luciano Benhar, Omar |
| author_sort | Cabibbo, Nicola |
| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-169725 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| publisher | Taylor & Francis |
| publisherStr | Taylor & Francis |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1697252025-12-02T05:14:21Z An Introduction to Gauge Theories Cabibbo, Nicola Maiani, Luciano Benhar, Omar Standard model Feynman diagrams High energy renormalization group Quantum field theory non-Abelian gauge Luciano Maiani lattice field theory Particle physics chiral symmetry breaking Nuclear physics muon g-2 anomaly Omar Benhar advanced quantum field theory concepts 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) thema EDItEUR::P Mathematics and Science::PH Physics::PHM Atomic and molecular physics 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) 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. 2025-12-02T05:14:19Z 2025-12-02T05:14:19Z 2025-12-01T11:21:19Z 2025 book ONIX_20251201T114739_9781040370278_5 https://library.oapen.org/handle/20.500.12657/108765 9781040370278 9781498734523 9781032883229 9781003560708 9781040370308 https://directory.doabooks.org/handle/20.500.12854/169725 eng open access image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International https://library.oapen.org/bitstream/20.500.12657/108765/1/9781040370278.pdf Taylor & Francis CRC Press 10.1201/9781003560708 10.1201/9781003560708 fa69b019-f4ee-4979-8d42-c6b6c476b5f0 SCOAP3 c2fbf30c-ef0f-473b-8ee4-03e135ae04d0 9781040370278 9781498734523 9781032883229 9781003560708 9781040370308 SCOAP3 for Books CRC Press 290 [...] open access |
| spellingShingle | Standard model Feynman diagrams High energy renormalization group Quantum field theory non-Abelian gauge Luciano Maiani lattice field theory Particle physics chiral symmetry breaking Nuclear physics muon g-2 anomaly Omar Benhar advanced quantum field theory concepts 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) thema EDItEUR::P Mathematics and Science::PH Physics::PHM Atomic and molecular physics 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) Cabibbo, Nicola Maiani, Luciano Benhar, Omar An Introduction to Gauge Theories |
| title | An Introduction to Gauge Theories |
| title_full | An Introduction to Gauge Theories |
| title_fullStr | An Introduction to Gauge Theories |
| title_full_unstemmed | An Introduction to Gauge Theories |
| title_short | An Introduction to Gauge Theories |
| title_sort | introduction to gauge theories |
| topic | Standard model Feynman diagrams High energy renormalization group Quantum field theory non-Abelian gauge Luciano Maiani lattice field theory Particle physics chiral symmetry breaking Nuclear physics muon g-2 anomaly Omar Benhar advanced quantum field theory concepts 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) thema EDItEUR::P Mathematics and Science::PH Physics::PHM Atomic and molecular physics 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) |
| topic_facet | Standard model Feynman diagrams High energy renormalization group Quantum field theory non-Abelian gauge Luciano Maiani lattice field theory Particle physics chiral symmetry breaking Nuclear physics muon g-2 anomaly Omar Benhar advanced quantum field theory concepts 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) thema EDItEUR::P Mathematics and Science::PH Physics::PHM Atomic and molecular physics 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) |
| url | ONIX_20251201T114739_9781040370278_5 |
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