QUARTIC FERMION SELF-INTERACTIONS IN 2-DIMENSIONAL GAUGE-THEORIES

In this work we discuss the effect of quartic fermion self-interacting terms on the dynamically generated photon masses in 1+1 dimensions, f or vector, chiral, and non-Abelian couplings. In the vector and chiral cases we find exactly the dynamically generated mass modified by the quartic term while in the non-Abelian case we find the dynamically gen erated mass associated with its Abelian part. We show that in the thre e cases there is a kind of duality between the gauge and quartic coupl ings. We perform functional as well as operator treatments allowing fo r the obtention of both fermion and vector field solutions. The struct ures of the Abelian models in terms of theta vacua are also addressed.