The European Physical Journal Plus | 2021
Local description of S-matrix in quantum field theory in curved spacetime using Riemann-normal coordinate
Abstract
Success of S-matrix in quantum field theory in Minkowski spacetime naturally leads to the question of construction of S-matrix in a general curved spacetime. It is known that a global description of S-matrix may not exist in an arbitrary curved spacetime. Here, we give a local construction of S-matrix in quantum field theory in curved spacetime using Riemann-normal coordinate which mimics the methods, generally used in Minkowski spacetime. Using this construction, scattering amplitudes and cross-sections of some scattering processes are computed. They can be used to probe features of curved spacetime as these local observables carry curvature dependent corrections. Compatibility of the local construction of the S-matrix with the spacetime symmetries is discussed.