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Solving coupled Dyson--Schwinger equations on a compact manifold

C. S. Fischer·B. Gruter·R. Alkofer
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Abstract

We present results for the gluon and ghost propagators in SU(N) Yang--Mills theory on a four-torus at zero and nonzero temperatures from a truncated set of Dyson-Schwinger equations. When compared to continuum solutions at zero temperature sizeable modifications due to the finite volume of the manifold, especially in the infrared, are found. Effects due to non-vanishing temperatures T, on the other hand, are minute for T < 250 MeV.

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C. S. Fischer, B. Gruter, R. Alkofer. 2005-11-14. Solving coupled Dyson--Schwinger equations on a compact manifold. https://doi.org/10.1016/j.aop.2005.11.007

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