N. Ikeda, HOW TO SOLVE QUANTUM NONLINEAR ABELIAN GAUGE-THEORY IN 2 DIMENSIONS IN THE HEISENBERG PICTURE, International journal of modern physics A, 13(19), 1998, pp. 3245-3254
The new method based on the operator formalism proposed by Abe and Nak
anishi is applied to the quantum nonlinear Abelian gauge theory in two
dimensions. The soluble models in this method are extended to a wider
class of quantum field theories. We obtain the exact solution in the
canonical-quantization operator formalism in the Heisenberg picture, s
o this analysis might shed some light on the analysis of gravitational
theory and nonpolynomial field theories.