Group Theory for the Standard Model of Particle Physics and Beyond
Based on the author’s well-established courses, Group Theory for the Standard Model of Particle Physics and Beyond explores the use of symmetries through descriptions of the techniques of Lie groups and Lie algebras. The text develops the models, theoretical framework, and mathematical tools to unde...
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| Materialtyp: | Online |
| Språk: | engelska |
| Utgiven: |
Taylor & Francis
2025
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| Länkar: | ONIX_20250512_9781439895207_89 |
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| _version_ | 1869521173040070656 |
|---|---|
| author | Barnes, Ken J. |
| author_browse | Barnes, Ken J. |
| author_facet | Barnes, Ken J. |
| author_sort | Barnes, Ken J. |
| collection | Directory of Open Access Books |
| description | Based on the author’s well-established courses, Group Theory for the Standard Model of Particle Physics and Beyond explores the use of symmetries through descriptions of the techniques of Lie groups and Lie algebras. The text develops the models, theoretical framework, and mathematical tools to understand these symmetries. After linking symmetries with conservation laws, the book works through the mathematics of angular momentum and extends operators and functions of classical mechanics to quantum mechanics. It then covers the mathematical framework for special relativity and the internal symmetries of the standard model of elementary particle physics. In the chapter on Noether’s theorem, the author explains how Lagrangian formalism provides a natural framework for the quantum mechanical interpretation of symmetry principles. He then examines electromagnetic, weak, and strong interactions; spontaneous symmetry breaking; the elusive Higgs boson; and supersymmetry. He also introduces new techniques based on extending space–time into dimensions described by anticommuting coordinates. Designed for graduate and advanced undergraduate students in physics, this text provides succinct yet complete coverage of the group theory of the symmetries of the standard model of elementary particle physics. It will help students understand current knowledge about the standard model as well as the physics that potentially lies beyond the standard model. |
| format | Online |
| id | doab-20.500.12854ir-159260 |
| 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-1592602025-05-16T05:41:58Z Group Theory for the Standard Model of Particle Physics and Beyond Barnes, Ken J. Symmetries and Conservation Laws Quantum Angular Momentum Tensors and Tensor Operators Special Relativity and the Physical Particle States Massless Goldstone Bosons Internal Symmetries CP Violation Mixes Parity Types Adjoint Representation Gauge Bosons Spatial Indices Tensor Operators Goldstone Bosons Clifford Algebra Cartan Matrix Sin Θc Higgs Mechanism Coset Space Cos Θc Magnetic Monopole Young Tableau Gauge Fields Euler Lagrange Equations Levi Civita Tensor Strong Interactions Higgs Boson thema EDItEUR::P Mathematics and Science::PH Physics::PHP Particle and high-energy physics thema EDItEUR::P Mathematics and Science::PH Physics::PHM Atomic and molecular physics thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical 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) Based on the author’s well-established courses, Group Theory for the Standard Model of Particle Physics and Beyond explores the use of symmetries through descriptions of the techniques of Lie groups and Lie algebras. The text develops the models, theoretical framework, and mathematical tools to understand these symmetries. After linking symmetries with conservation laws, the book works through the mathematics of angular momentum and extends operators and functions of classical mechanics to quantum mechanics. It then covers the mathematical framework for special relativity and the internal symmetries of the standard model of elementary particle physics. In the chapter on Noether’s theorem, the author explains how Lagrangian formalism provides a natural framework for the quantum mechanical interpretation of symmetry principles. He then examines electromagnetic, weak, and strong interactions; spontaneous symmetry breaking; the elusive Higgs boson; and supersymmetry. He also introduces new techniques based on extending space–time into dimensions described by anticommuting coordinates. Designed for graduate and advanced undergraduate students in physics, this text provides succinct yet complete coverage of the group theory of the symmetries of the standard model of elementary particle physics. It will help students understand current knowledge about the standard model as well as the physics that potentially lies beyond the standard model. 2025-05-13T04:13:37Z 2025-05-13T04:13:37Z 2025-05-12T09:38:59Z 2010 book ONIX_20250512_9781439895207_89 https://library.oapen.org/handle/20.500.12657/101556 9781439895207 9781420078749 9781000563900 9781032031972 9780429184550 9781420078794 https://directory.doabooks.org/handle/20.500.12854/159260 eng Series in High Energy Physics, Cosmology and Gravitation open access image/jpeg Attribution-NonCommercial 4.0 International https://library.oapen.org/bitstream/20.500.12657/101556/1/9781439895207.pdf Taylor & Francis CRC Press 10.1201/9781439895207 10.1201/9781439895207 fa69b019-f4ee-4979-8d42-c6b6c476b5f0 SCOAP3 c2fbf30c-ef0f-473b-8ee4-03e135ae04d0 9781439895207 9781420078749 9781000563900 9781032031972 9780429184550 9781420078794 SCOAP3 for Books CRC Press 255 [...] open access |
| spellingShingle | Symmetries and Conservation Laws Quantum Angular Momentum Tensors and Tensor Operators Special Relativity and the Physical Particle States Massless Goldstone Bosons Internal Symmetries CP Violation Mixes Parity Types Adjoint Representation Gauge Bosons Spatial Indices Tensor Operators Goldstone Bosons Clifford Algebra Cartan Matrix Sin Θc Higgs Mechanism Coset Space Cos Θc Magnetic Monopole Young Tableau Gauge Fields Euler Lagrange Equations Levi Civita Tensor Strong Interactions Higgs Boson thema EDItEUR::P Mathematics and Science::PH Physics::PHP Particle and high-energy physics thema EDItEUR::P Mathematics and Science::PH Physics::PHM Atomic and molecular physics thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical 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) Barnes, Ken J. Group Theory for the Standard Model of Particle Physics and Beyond |
| title | Group Theory for the Standard Model of Particle Physics and Beyond |
| title_full | Group Theory for the Standard Model of Particle Physics and Beyond |
| title_fullStr | Group Theory for the Standard Model of Particle Physics and Beyond |
| title_full_unstemmed | Group Theory for the Standard Model of Particle Physics and Beyond |
| title_short | Group Theory for the Standard Model of Particle Physics and Beyond |
| title_sort | group theory for the standard model of particle physics and beyond |
| topic | Symmetries and Conservation Laws Quantum Angular Momentum Tensors and Tensor Operators Special Relativity and the Physical Particle States Massless Goldstone Bosons Internal Symmetries CP Violation Mixes Parity Types Adjoint Representation Gauge Bosons Spatial Indices Tensor Operators Goldstone Bosons Clifford Algebra Cartan Matrix Sin Θc Higgs Mechanism Coset Space Cos Θc Magnetic Monopole Young Tableau Gauge Fields Euler Lagrange Equations Levi Civita Tensor Strong Interactions Higgs Boson thema EDItEUR::P Mathematics and Science::PH Physics::PHP Particle and high-energy physics thema EDItEUR::P Mathematics and Science::PH Physics::PHM Atomic and molecular physics thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical 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 | Symmetries and Conservation Laws Quantum Angular Momentum Tensors and Tensor Operators Special Relativity and the Physical Particle States Massless Goldstone Bosons Internal Symmetries CP Violation Mixes Parity Types Adjoint Representation Gauge Bosons Spatial Indices Tensor Operators Goldstone Bosons Clifford Algebra Cartan Matrix Sin Θc Higgs Mechanism Coset Space Cos Θc Magnetic Monopole Young Tableau Gauge Fields Euler Lagrange Equations Levi Civita Tensor Strong Interactions Higgs Boson thema EDItEUR::P Mathematics and Science::PH Physics::PHP Particle and high-energy physics thema EDItEUR::P Mathematics and Science::PH Physics::PHM Atomic and molecular physics thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical 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_20250512_9781439895207_89 |
| work_keys_str_mv | AT barneskenj grouptheoryforthestandardmodelofparticlephysicsandbeyond |