A local S-matrix is constructed in curved spacetime using Riemann-normal coordinates, yielding curvature-dependent scattering amplitudes and cross-sections.
Relativistic astrometry and Synge's world function
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abstract
Almost all of the studies devoted to relativistic astrometry are based on the integration of the null geodesic differential equations. However, the gravitational deflection of light rays can be calculated by a different method, based on the determination of the bifunction giving half the squared geodesic distance between two arbitrary points-events, the so-called Synge's world function. We give a brief review of the main results obtained by this method.
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2019 1verdicts
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Local description of S-matrix in quantum field theory in curved spacetime using Riemann-normal coordinate
A local S-matrix is constructed in curved spacetime using Riemann-normal coordinates, yielding curvature-dependent scattering amplitudes and cross-sections.