Are there some textbook or review about following parts of higher derivative lagrangian?
1) How to figure out the degrees of freedom of higher derivative theory?
2) How to analyse the stability of a higher derivative theory? Are there ghosts in this theory?
3) How to do Hamiltonian analysis of higher derivative theory?
4) How to handle a theory with higher derivative and constraints or gauge freedom?
5) How to quantize such a theory? Are there some general procedures like canonical quantization?
I want to know whether this is thoroughly researched? If it is, then recommend some reviews and textbooks about this. I'm curious about this theory.