Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1999-06-26
Prog.Theor.Phys. 103 (2000) 1001-1009
Physics
Nuclear Physics
Nuclear Theory
10 pages, slightly revised, accepted for publication in Progress of Theoretical Physics
Scientific paper
10.1143/PTP.103.1001
In QCD sum rules with external fields, the double dispersion relation is often used to represent the correlation function. In this work, we point out that the double spectral density, when it is determined by successive applications of the Borel transformation, contains the spurious terms which should be kept in the subtraction terms in the double dispersion relation. They are zero under the Borel transformation but, if the dispersion integral is restricted with QCD duality, they contribute to the continuum. For the simple case with zero external momentum, it is shown that subtracting out the spurious terms is equivalent to the QCD sum rules represented by the single dispersion relation.
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