Abstract

For ${\ensuremath{\epsilon}}^{2}<4\ensuremath{\pi}$ the $\ensuremath{\lambda}sin(\ensuremath{\epsilon}\ensuremath{\Phi}+\ensuremath{\theta})$ quantum field model corresponding to the "sine-Gordon" equation with a nonvanishing mass term in two space-time dimensions exists and yields a field theory satisfying the Wightman axioms. For $|\ensuremath{\lambda}|$ small enough, the Euclidean Green's functions of this model have a convergent Feynman perturbation series. For $\ensuremath{\lambda}$ large enough and positive, $\ensuremath{\epsilon}$ positive, and $\ensuremath{\theta}=0$, the $\ensuremath{\Phi}\ensuremath{\rightarrow}\ensuremath{-}\ensuremath{\Phi}$ symmetry is presumably dynamically broken.

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