Nullification in scalar theories with derivative couplings
arXiv:hep-ph/9609396 · doi:10.1016/S0370-2693(96)01560-2
Abstract
We discuss the structure of scalar field theories having the property that all on-shell S-matrix elements vanish in tree approximation. It is shown that there exists a large class of such theories, with derivative couplings, which are all locally related to a free theory by a nonlinear transformation. It is also shown that a field-dependent wave-function renormalization provides all necessary counterterms so that all on-shell S-matrix elements vanish also at the one-loop level.
13 pages, latex, added discussion on non-trivial classical solutions