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100   $a20171208d2017      u|         0
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200 10$aMathematical Gauge Theory $eWith Applications to the Standard Model of Particle Physics /$fby Mark J.D. Hamilton
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017.
215   $a1 online resource (XVIII, 658 p. 40 illus.)
225 1 $aUniversitext,$x0172-5939
327   $aPart I Mathematical foundations -- 1 Lie groups and Lie algebras: Basic concepts -- 2 Lie groups and Lie algebras: Representations and structure theory -- 3 Group actions -- 4 Fibre bundles -- 5 Connections and curvature -- 6 Spinors -- Part II The Standard Model of elementary particle physics -- 7 The classical Lagrangians of gauge theories -- 8 The Higgs mechanism and the Standard Model -- 9 Modern developments and topics beyond the Standard Model -- Part III Appendix -- A Background on differentiable manifolds -- B Background on special relativity and quantum field theory -- References -- Index.
330   $aThe Standard Model is the foundation of modern particle and high energy physics. This book explains the mathematical background behind the Standard Model, translating ideas from physics into a mathematical language and vice versa. The first part of the book covers the mathematical theory of Lie groups and Lie algebras, fibre bundles, connections, curvature and spinors. The second part then gives a detailed exposition of how these concepts are applied in physics, concerning topics such as the Lagrangians of gauge and matter fields, spontaneous symmetry breaking, the Higgs boson and mass generation of gauge bosons and fermions. The book also contains a chapter on advanced and modern topics in particle physics, such as neutrino masses, CP violation and Grand Unification. This carefully written textbook is aimed at graduate students of mathematics and physics. It contains numerous examples and more than 150 exercises, making it suitable for self-study and use alongside lecture courses. Only a basic knowledge of differentiable manifolds and special relativity is required, summarized in the appendix.
410  0$aUniversitext,$x0172-5939
606   $aManifolds (Mathematics)
606   $aComplex manifolds
606   $aElementary particles (Physics)
606   $aQuantum field theory
606   $aPhysics
606   $aTopological groups
606   $aLie groups
606   $aManifolds and Cell Complexes (incl. Diff.Topology)$3https://scigraph.springernature.com/ontologies/product-market-codes/M28027
606   $aElementary Particles, Quantum Field Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P23029
606   $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013
606   $aTopological Groups, Lie Groups$3https://scigraph.springernature.com/ontologies/product-market-codes/M11132
615  0$aManifolds (Mathematics).
615  0$aComplex manifolds.
615  0$aElementary particles (Physics).
615  0$aQuantum field theory.
615  0$aPhysics.
615  0$aTopological groups.
615  0$aLie groups.
615 14$aManifolds and Cell Complexes (incl. Diff.Topology).
615 24$aElementary Particles, Quantum Field Theory.
615 24$aMathematical Methods in Physics.
615 24$aTopological Groups, Lie Groups.
676   $a539.72
700   $aHamilton$b Mark J.D$4aut$4http://id.loc.gov/vocabulary/relators/aut$0959448
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