This concise monograph is intended for students and scientists specializing in contemporary field theory, gravitation theory and modern differential geometry. The gauge theory as presented by the authors, incorporates Einstein's gravity into the universal picture of fundamental interactions and clarifies its physical nature as a Higgs field. A key point advanced here is the spontaneous breakdown of space-time symmetries according to the equivalence principle. The jet manifold generalization of the fibre bundle machinery is used to describe this symmetry breaking, degenerate Hamiltonian systems and general connections.
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
ISBN-13
978-981-02-0799-1 (9789810207991)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Autor*in
Moscow State Univ, Russia
Moscow Univ, Russia
Part 1 Preliminary: bundles; jet manifolds; general connections. Part 2 Classical gauge theory: geometric theory of classical fields; gauge transformations; multimomentum Hamiltonian formalism; geometry of spontaneous symmetry breaking. Part 3 Gauge theory of classical gravity: dirac fermion fields; tetrad gravitational fields; space-time structure; space-time singularities. Part 4 The Higgs feature of classical gravity: fermion-gravitationa complex; derivations of a gravitational field. Part 5 Gauge theory of the translation group: gauge models of the poincare group; deformed manifolds; gauge theory of the fifth force.
