Titlebook: Noncommutative Geometry and the Standard Model of Elementary Particle Physics; Florian Scheck,Harald Upmeier,Wend Werner Book 2002 Springe

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Edwin Langmannage findet sich eine Vielzahl neuer Begriffe und Abbildungen. Tausende englischer und deutscher Schlagworte vermitteln den neuesten Stand der noch jungen Disziplin und Wissenschaft der Logistik..978-3-540-75662-0Series ISSN 2512-5281 Series E-ISSN 2512-529X

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Giovanny Landiage findet sich eine Vielzahl neuer Begriffe und Abbildungen. Tausende englischer und deutscher Schlagworte vermitteln den neuesten Stand der noch jungen Disziplin und Wissenschaft der Logistik..978-3-540-75662-0Series ISSN 2512-5281 Series E-ISSN 2512-529X

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The Commutative Case: Spinors, Dirac Operator and de Rham Algebraand spinor bundles over smooth Riemannian manifolds, Spin.-structures, Dirac operators, exterior algebra bundles and Connes’ differential algebras in the commutative case, among other elements. We avoid the use of principal bundles and put the emphasis on a module-based approach using Serre-Swan’s t

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The Einstein-Hilbert Action as a Spectral Action compact Riemannian manifold, let . be a Riemannian or Hermitian vector bundle over .. Let ∇ be a metric connection on ., i.e. for smooth sections . and . in . and . we have .. Here 〈·, ·〉 denotes the Riemannian resp. Hermitian metric on .. If . is a smooth section in ., then . is a smooth section i

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Dirac Operator and Real Structure on Euclidean and Minkowski Spacetimelly relevant case. Throughout, we fix . ∈ {1, .} in order to treat space-times of Euclidean type (. = .) and Minkowski type (. = 1) simultaneously. Let . denote the corresponding flat metric. Our first goal is to construct the .-matrices for . in an explicit way. The .-matrices .. = .. (0 ≤ . < 2.)

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The Electro-weak Modele description of leptons, which show only electro-weakin teraction. Leptons exerimentally appear as pairs in three generations: (..), (..), (..). We will consider . and .., .., .. as components of a single object . with three different “generations”. Correspondingly, we let . and . be finite-dimensi

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The Higgs Mechanism and Spontaneous Symmetry Breakingble with local gauge invariance. It is saidthat W. Pauli hadd evelopednonab elian gauge theory for himself (or knew about it from the work of H. Weyl and O. Klein) before the work of C.N. Yang and R. Mills (1954) but dismissedit because he hadrealizedthat the gauge particles wouldall be massless. As