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Calculation of the quark condensate through Schwinger-Dyson equation

Z. G. Wang·S. L. Wan
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Abstract

In this letter, we clarify the algebra expression for calculating the quark condensate based on the non-perturbative quark propagator calculated through Schwinger-Dyson equation. The quark condensates, which characterize the low energy QCD vacuum, should not get a divergent quantity at large energy scale; the re-normalization group evolution behaviour at large energy scale therefore should be interpreted as "smeared collective effects" for it contains both perturbative and non-perturbative parts. We prefer the integral expression and get a quantity which is both convergent and scale dependent.

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Z. G. Wang, S. L. Wan. 2002-12-22. Calculation of the quark condensate through Schwinger-Dyson equation. https://arxiv.org/abs/hep-ph/0212329

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