DYSON-SCHWINGER EQUATIONS AND DYNAMICAL SYMMETRY-BREAKING IN 2-DIMENSIONAL INDUCED GRAVITY

Dynamical symmetry breaking and the dynamical generation of fermion ma ss is investigated in two-dimensional nonlocal gravity interacting wit h fermions. The Dyson-Schwinger equations for the fermion propagator a re obtained in the ladder approximation, and numerical solutions to th ese equations are found at various values of the curvature and couplin g constant. It is shown that the dynamical breakdown of chiral symmetr y and the dynamical generation of fermion mass are possible. The most popular gauges are studied, and the dependence of results on the choic e of gauge is briefly discussed.