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. On this simple example we show how dynamics of correlation functions depends on the choice of initial Cauchy surface, basis of modes and on the choice of initial state build with the use of the corresponding creation and annihilation operators. We show which choice of modes in the future Rindler wedge respects Poincare symmetry. But we do not restrict our attention only to these modes and the corresponding state.

18 pages, 2 figures. Language is improved, more arguments are given and clarified, substantial changes

References in corpus (7)

• Infrared instability of the de Sitter space
• Characters of different secular effects in various patches of de Sitter space
• Many-body theory of non-equilibrium systems
• Entanglement of the Vacuum between Left, Right, Future, and Past: The Origin of Entanglement-Induced Quantum Radiation
• Secularly growing loop corrections in strong electric fields
• Dynamical Casimir effect in nonlinear vibrating cavities
• On interacting quantum fields in various charts of anti de Sitter space-time