https://doi.org/10.1140/epjp/s13360-021-02037-z
Regular Article
Local description of S-matrix in quantum field theory in curved spacetime using Riemann-normal coordinate
1
Department of Physical Sciences, Indian Institute of Science Education and Research Kolkata, 741 246, Mohanpur, WB, India
2
Indian Institute of Technology Jodhpur, Jodhpur, India
Received:
8
June
2021
Accepted:
4
October
2021
Published online:
25
October
2021
The success of the S-matrix in quantum field theory in Minkowski spacetime naturally demands the extension of the construction of the S-matrix in a general curved spacetime in a covariant manner. However, it is well-known that a global description of the 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 coordinates which mimics the methods, generally used in Minkowski spacetime. Using this construction, the scattering amplitudes and cross sections of some scattering processes are computed in a generic curved spacetime. Further, it is also shown that these observables can be used to probe features of curved spacetime as these local observables carry curvature-dependent corrections. Moreover, the compatibility of the local construction of the S-matrix with the spacetime symmetries is also discussed in detail.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
