Artificial Dynamical Effects in Quantum Field Theory

Understand

In Newtonian mechanics, inertial pseudoforces - or fictitious forces - appear in systems studied in non-Galilean reference frames; e.g., a centrifugal force seems to arise if the dynamics is analyzed in a rotating reference frame.

• The equivalent of Galilean invariance for relativistic kinematics is Poincar\'e invariance; analogous artificial effects may arise in relativistic quantum field theory (QFT) if a system is studied in a framework violating Poincar\'e invariance.
• We highlight how such issues complicate the traditional canonical quantization of QFTs and can lead to a subjective description of natural phenomena.
• In fact, if the system involves the strong interaction, obtaining objective results can become an intractable problem using canonical quantization because the pseudoforces are essentially nonperturbative.