  In a recent article [1], we have identified new signatures for the Yang-Mills
deconfinement transition, based on the finite-temperature longitudinal or
(chromo-)electric gluon propagator as computed in the center-symmetric Landau
gauge. Here, we generalize these considerations into a systematic study of the
center symmetry identities obeyed by the correlation functions in this gauge.
Any violation of these constraints signals the breaking of center symmetry and
can thus serve as a probe for the deconfinement transition.
