In this page I want to know, why the equation (1.32) introduced creation and annihilation operator. Please elaborate.
closed as not a real question by user1504, Manishearth♦ Apr 10 '13 at 16:18
It's difficult to tell what is being asked here. This question is ambiguous, vague, incomplete, overly broad, or rhetorical and cannot be reasonably answered in its current form. For help clarifying this question so that it can be reopened, visit the help center. If this question can be reworded to fit the rules in the help center, please edit the question.
I don't really understand what's confusing you here? As far as I can see, it's just a basic procedure when you want to quantize something in qft.
You introduce creation and annihilation operators, set their respective algebra (1.31), and you have the basic set of rules you can work with.
I don't really know what that issue you are working on is about, but it's like when you want to quantize a harmonic oscillator...