Nullification in scalar theories with derivative couplings
E. N. Argyres, C. G. Papadopoulos, M. Bruinsma, R. Kleiss
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.
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