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In momentum space we have to work with an integral operator, the kernel of which is given by Eq. (5) with E=0. This operator possesses a property similar to Eq. (39), but the region of convergence in that case is narrower.
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In momentum space we have to work with an integral operator, the kernel of which is given by Eq. (5) with E = 0. This operator possesses a property similar to Eq. (39), but the region of convergence in that case is narrower.
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Note that the coefficient C(δ) has the same dependence on δ as the term proportional to lnp in the definition of the infrared subtracted amplitude Ā in Eq. (15). This term arises from two-loop diagrams at fourth order in the two-body coupling g2 (see Sec. 8.5 in Ref. [1] and references therein).
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