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Hello everybody,

In all QFT courses one starts very early with commutation and anti-commutation relation. My main question is why do we do this and what is the motivation?

I have already asked few people including our professor but could not get a clear answer.

I am talking about the commutation relations of the scaler fields and the creation/annihilation operators.

My next question is that what does the negative sign means in anti-commutation relations? OR what do anti-commuting fields means?

Then my last Qs. is, what is the form of creation and annihilation operator in QFT? In quantum mechanics harmonic oscillator we write them in terms of x and p but in QFT?

many thanks in advance for any help or hint.

PS: I have read the previous posts on this topic but I want a concise answer please.

In all QFT courses one starts very early with commutation and anti-commutation relation. My main question is why do we do this and what is the motivation?

I have already asked few people including our professor but could not get a clear answer.

I am talking about the commutation relations of the scaler fields and the creation/annihilation operators.

My next question is that what does the negative sign means in anti-commutation relations? OR what do anti-commuting fields means?

Then my last Qs. is, what is the form of creation and annihilation operator in QFT? In quantum mechanics harmonic oscillator we write them in terms of x and p but in QFT?

many thanks in advance for any help or hint.

PS: I have read the previous posts on this topic but I want a concise answer please.

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