Nullification in scalar theories with derivative couplings

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

References in corpus (11)

• N=4 Topological Strings
• Summing tree graphs at threshold
• Summing One-Loop Graphs at Multi-Particle Threshold
• Summing one-loop graphs in a theory with broken symmetry
• Zeros of Tree-Level Amplitudes at Multi-Boson Thresholds
• Multiscalar amplitudes to all orders in perturbation theory
• Multiscalar production amplitudes beyond threshold
• Nullification of multi-Higgs threshold amplitudes in the Standard Model
• On amplitude zeros at threshold
• Effects of Amplitude Nullification in the Standard Model
• Partial wave amplitudes and multiparticle production