The Double Wedge Algebra for Quantum Fields on Schwarzschild and Minkowski Space-times
Jun, 198554 pages
Published in:
- Commun.Math.Phys. 100 (1985) 57
DOI:
Report number:
- PRINT-85-0423 (ZURICH)
Citations per year
Abstract: (Springer)
We consider the Klein-Gordon equation (m≧0) on the double Schwarzschild wedge of the Kruskal spacetime, and construct the Hartle-Hawking stateωH as a thermal state relative to the Boulware quantization. We prove that, on the double wedge,ωH is a pure state, and in the corresponding representation, the left- and right-wedgeC* algebras each have the Reeh-Schlieder property, while the corresponding von-Neumann algebras are typeIII1 factors which are dual to (i.e. commutants of) each other. We discuss the extent to which these properties may generalize to non-quasi-free field theories.- FIELD THEORY: SPACE-TIME
- Klein-Gordon equation
- ALGEBRA: C*
- ALGEBRA: VON NEUMANN
- QUANTIZATION
- FIELD THEORY: VACUUM STATE
- FUNCTIONAL ANALYSIS: linear space
References(0)
Figures(0)
Loading ...