Does a double pole in a mixed correlator imply troubles for the QFT?
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Hey mate ^_^
In a CFT such correlator will vanish identically unless ϕϕis a descendant of TT in which case this correlator is a derivative of the diagonal one (so it has no more poles than ⟨TT⟩⟨TT⟩ in the momentum space).
#Be Brainly❤️
In a CFT such correlator will vanish identically unless ϕϕis a descendant of TT in which case this correlator is a derivative of the diagonal one (so it has no more poles than ⟨TT⟩⟨TT⟩ in the momentum space).
#Be Brainly❤️
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Hello mate here is your answer.
It is known that dyagonal correlation functions (say propagators) can at most have single poles in their spectrum. I am wondering if the existence of double poles in mixed correlators in a QFT (say for example the correlators between the stress energy tensor and a scalar operator in a conformal field theory ⟨Tμν(q)ϕ(q′)⟩⟨Tμν(q)ϕ(q′)⟩) has any bad implication for the theory.
Hope it helps you.
It is known that dyagonal correlation functions (say propagators) can at most have single poles in their spectrum. I am wondering if the existence of double poles in mixed correlators in a QFT (say for example the correlators between the stress energy tensor and a scalar operator in a conformal field theory ⟨Tμν(q)ϕ(q′)⟩⟨Tμν(q)ϕ(q′)⟩) has any bad implication for the theory.
Hope it helps you.
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