Borel summation and momentum-plane analyticity in perturbative QCD
- SLAC
We derive a compact expression for the Borel sum of a QCD amplitude in terms of the inverse Mellin transform of the corresponding Borel function. The result allows us to investigate the momentum-plane analyticity properties of the Borel-summed Green functions in perturbative QCD. An interesting connection between the asymptotic behavior of the Borel transform and the Landau singularities in the momentum plane is established. We consider for illustration the polarization function of massless quarks and the resummation of one-loop renormalon chains in the large-{beta}{sub 0} limit, but our conclusions have a more general validity.
- Research Organization:
- Stanford Linear Accelerator Center, Menlo Park, CA (US)
- Sponsoring Organization:
- USDOE Office of Energy Research (ER) (US)
- DOE Contract Number:
- AC03-76SF00515;
- OSTI ID:
- 10008
- Report Number(s):
- SLAC-PUB-8059
- Country of Publication:
- United States
- Language:
- English
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