Abstract
Once top quarks are found, because they are heavy they will allow many new tests of the standard model (SM) and new probes of physics at the 100-GeV scale. In this paper we show how to test the standard-model QCD predictions for the transverse polarization of a top quark produced at the Fermilab Tevatron, Superconducting Super Collider, CERN Large Hadron Collider, and the Next Linear Collider. We also examine the most general form of the $W\ensuremath{-}t\ensuremath{-}b$ vertex, and show how to detect effects of non-SM operators. Ways of detecting non-SM $\mathrm{CP}$-violation effects in either the production or the decay of the top quarks and top antiquarks are examined.
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