SUMMARY
The discussion centers on the necessity of summing over longitudinal polarization states in the context of internal photon states within quantum field theory. It is concluded that including longitudinal states is unnecessary since they do not couple to the conserved electromagnetic current. The ordinary Feynman-gauge propagator suffices, as the ##k^\mu k^\nu## term can be multiplied by an arbitrary number without affecting scattering amplitudes, a concept referred to as "generalized Feynman gauge."
PREREQUISITES
- Understanding of quantum field theory principles
- Familiarity with Feynman propagators and gauge theories
- Knowledge of electromagnetic current conservation
- Basic grasp of polarization states in quantum mechanics
NEXT STEPS
- Study the implications of generalized Feynman gauge in quantum field theory
- Explore the role of longitudinal polarization in gauge theories
- Learn about scattering amplitudes and their dependence on gauge choices
- Investigate the conservation laws in electromagnetic interactions
USEFUL FOR
Physicists, particularly those specializing in quantum field theory, gauge theory, and particle physics, will benefit from this discussion.