TitleQuantum Field Theory on Curved Spacetimes : Concepts and Mathematical Foundations
Author(s)B??r, Christian;Fredenhagen, Klaus
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2009.
DescriptionX, 160 p. 30 illus : online resource
Abstract NoteAfter some decades of work a satisfactory theory of quantum gravity is still not available; moreover, there are indications that the original field theoretical approach may be better suited than originally expected. There, to first approximation, one is left with the problem of quantum field theory on Lorentzian manifolds. Surprisingly, this seemingly modest approach leads to far reaching conceptual and mathematical problems and to spectacular predictions, the most famous one being the Hawking radiation of black holes. Ingredients of this approach are the formulation of quantum physics in terms of C*-algebras, the geometry of Lorentzian manifolds, in particular their causal structure, and linear hyperbolic differential equations where the well-posedness of the Cauchy problem plays a distinguished role, as well as more recently the insights from suitable concepts such as microlocal analysis. This primer is an outgrowth of a compact course given by the editors and contributing authors to an audience of advanced graduate students and young researchers in the field, and assumes working knowledge of differential geometry and functional analysis on the part of the reader
ISBN,Price9783642027802
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. COMPLEX MANIFOLDS 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. GRAVITATION 8. Manifolds (Mathematics) 9. Manifolds and Cell Complexes (incl. Diff.Topology) 10. Mathematical Methods in Physics 11. PHYSICS 12. QUANTUM FIELD THEORY
Item TypeeBook
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I07207     On Shelf