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020 _a9783540460824
_9978-3-540-46082-4
024 7 _a10.1007/3-540-46082-9
_2doi
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072 7 _aPHU
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072 7 _aSCI040000
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072 7 _aPHU
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082 0 4 _a530.15
_223
245 1 0 _aNoncommutative Geometry and the Standard Model of Elementary Particle Physics
_h[electronic resource] /
_cedited by Florian Scheck, Harald Upmeier, Wend Werner.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2002.
300 _aXII, 350 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v596
505 0 _aFoundations of Noncommutative Geometry and Basic Model Building -- Spectral Triples and Abstract Yang-Mills Functional -- Real Spectral Triples and Charge Conjugation -- The Commutative Case: Spinors, Dirac Operator and de Rham Algebra -- Connes’ Trace Formula and Dirac Realization of Maxwell and Yang-Mills Action -- The Einstein-Hilbert Action as a Spectral Action -- Spectral Action and the Connes-Chamsedinne Model -- The Lagrangian of the Standard Model Derived from Noncommutative Geometry -- Dirac Operator and Real Structure on Euclidean and Minkowski Spacetime -- The Electro-weak Model -- The Full Standard Model -- Standard Model Coupled with Gravity -- The Higgs Mechanism and Spontaneous Symmetry Breaking -- New Directions in Noncommutative Geometry and Mathematical Physics -- The Impact of NC Geometry in Particle Physics -- The su(2|1) Model of Electroweak Interactions and Its Connection to NC Geometry -- Quantum Fields and Noncommutative Spacetime -- NC Geometry and Quantum Fields: Simple Examples -- Dirac Eigenvalues as Dynamical Variables -- Hopf Algebras in Renormalization and NC Geometry -- NC Geometry of Strings and Duality Symmetry.
520 _aThe outcome of a close collaboration between mathematicians and mathematical physicists, these lecture notes present the foundations of A. Connes noncommutative geometry as well as its applications in particular to the field of theoretical particle physics. The coherent and systematic approach makes this book useful for experienced researchers and postgraduate students alike.
650 0 _aMathematical physics.
650 0 _aGlobal differential geometry.
650 0 _aQuantum theory.
650 0 _aAlgebra.
650 1 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
650 2 4 _aDifferential Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M21022
650 2 4 _aElementary Particles, Quantum Field Theory.
_0http://scigraph.springernature.com/things/product-market-codes/P23029
650 2 4 _aAlgebra.
_0http://scigraph.springernature.com/things/product-market-codes/M11000
700 1 _aScheck, Florian.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aUpmeier, Harald.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aWerner, Wend.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642078972
776 0 8 _iPrinted edition:
_z9783540440710
776 0 8 _iPrinted edition:
_z9783662143599
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v596
856 4 0 _uhttps://doi.org/10.1007/3-540-46082-9
912 _aZDB-2-PHA
912 _aZDB-2-LNP
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