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RESEARCH PRODUCT
The Regularized Hadamard Expansion
Margarita KrausFelix Finstersubject
Infinite numberGeodesicApplied Mathematics010102 general mathematicsCauchy distributionFOS: Physical sciencesMathematical Physics (math-ph)General Relativity and Quantum Cosmology (gr-qc)01 natural sciencesGeneral Relativity and Quantum Cosmology010101 applied mathematicsMathematics - Analysis of PDEsHadamard transformRegularization (physics)FOS: MathematicsApplied mathematics0101 mathematicsAnalysisMathematical PhysicsMathematicsAnalysis of PDEs (math.AP)description
A local expansion is proposed for two-point distributions involving an ultraviolet regularization in a four-dimensional globally hyperbolic space-time. The regularization is described by an infinite number of functions which can be computed iteratively by solving transport equations along null geodesics. We show that the Cauchy evolution preserves the regularized Hadamard structure. The resulting regularized Hadamard expansion gives detailed and explicit information on the global dynamics of the regularization effects.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-08-15 |