D denotes a non empty subset of E 2 T , and C denotes a compact connected non vertical non horizontal subset of E 2 T. We now state the proposition (1) For all sets A, B such that for every set x such that x ∈ A there exists a set K such that K ⊆ B and x ⊆ K holds A ⊆ B. Let m be an even integer. Note that m + 2 is even. Let m be an odd integer. One can verify that m + 2 is odd. Let m be a non ...

Applying the principle of analytic extension for generalized funtions we derive causal propagators for algebraic non-covariant gauges. The so generated manifestly causal gluon propagator in the light-cone gauge is used to evaluate two one-loop Feynman integrals which appear in the computation of the three-gluon vertex correction. The result is in agreement with that obtained through the usual p...

Every modern high vacuum and ultrahigh vacuum system relies on some form of ionization gauge for pressure measurements under 10 Torr. There are currently two competing ionization gauge technologies to choose from the hot cathode gauge (HCG) and the cold cathode gauge (CCG). This application note is designed to help vacuum users choose between the two competing ionization technologies. Each gaug...

In some recent papers it is claimed that the physical significance of the vacuum angle theta for QCD-like theories depends on the chosen gauge condition. We criticise the arguments that were given in support of this claim, and show by explicit construction for the case of QED 2 that and why they fail, confirming thereby the commonly accepted point of view.