Quantum fields in the future Rindler wedge

Abstract

We consider interacting massive scalar quantum field theory in the future Rindler wedge. This is a model example of quantum field theory in curved space–time. Using this simple example, we show how the dynamics of correlation functions depends on the choice of the initial Cauchy surface, the basis of modes, and the choice of the initial state built using the corresponding creation and annihilation operators. We show which choice of modes in the future Rindler wedge respects the Poincaré symmetry. However, we do not restrict our attention only to these modes and the corresponding ground state.