Relations between vacuum condensates and low energy parameters from a rational approach
Abstract
Conventional methods to determine nonperturbative parameters in QCD, such as the different variants of QCD sum rules or the minimal hadronic approximation, combine a certain degree of matching to QCD with inputs from hadronic parameters. The latter introduce systematic errors difficult to quantify. In this paper, I will apply a method based on rational approximant theory where matching is maximized and no hadronic inputs are used, thereby leading to simple analytical relations between high- and low-energy parameters. I will be mostly interested in the phenomenological applications to the ΠLR and ΠVT correlators, with special emphasis on quantities like the d=6 and d=8 vacuum condensates in ΠLR or the quark condensate magnetic susceptibility χ0.
- Publication:
-
Physical Review D
- Pub Date:
- March 2010
- DOI:
- 10.1103/PhysRevD.81.054011
- arXiv:
- arXiv:0911.4736
- Bibcode:
- 2010PhRvD..81e4011C
- Keywords:
-
- 12.38.Lg;
- Other nonperturbative calculations;
- High Energy Physics - Phenomenology
- E-Print:
- 14 pages, 1 figure