The mu-term corrections from bound-state quantization are reproduced exactly as residues of the F-term integral for elementary non-diagonal form factors, confirming the connection between the two formalisms.
Rajaraman, Solitons and Instantons: An Introduction to Solitons and Instantons in Quantum Field Theory
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Finite volume corrections of non-diagonal form factors
The mu-term corrections from bound-state quantization are reproduced exactly as residues of the F-term integral for elementary non-diagonal form factors, confirming the connection between the two formalisms.