Cauchy problem and Green's functions for first order differential operators and algebraic quantization
Journal Article
·
· Journal of Mathematical Physics
- Berlin Mathematical School, TU Berlin, Mathematisches Institut, MA 2-2, Strasse des 17. Juni 136, 10623 Berlin (Germany)
Existence and uniqueness of advanced and retarded fundamental solutions (Green's functions) and of global solutions to the Cauchy problem is proved for a general class of first order linear differential operators on vector bundles over globally hyperbolic Lorentzian manifolds. This is a core ingredient to CAR-/CCR-algebraic constructions of quantum field theories on curved spacetimes, particularly for higher spin field equations.
- OSTI ID:
- 21501266
- Journal Information:
- Journal of Mathematical Physics, Vol. 52, Issue 2; Other Information: DOI: 10.1063/1.3530846; (c) 2011 American Institute of Physics; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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