QCD partition function in the external field in the covariant gauge
Andrei Leonidov, Vladimir Nechitailo
TL;DR
This paper calculates the QCD partition function in an external gluomagnetic field up to third order, highlighting the dependence on the covariant gauge fixing parameter in arbitrary dimensions.
Contribution
It provides a third-order computation of the QCD partition function in external fields within arbitrary covariant gauges, extending previous lower-order analyses.
Findings
Partition function computed up to third order in external field invariants.
Dependence on covariant gauge fixing parameter lpha identified.
Results applicable in arbitrary spacetime dimensions.
Abstract
The QCD partition function in the external stationary gluomagnetic field is computed in the third order in external field invariants in arbitrary dimension and arbitrary covariant gauge. The contributions proportional to third order invariants in gluon field strength are shown to be dependent on covariant quantum gauge fixing parameter \alpha
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