Path-Integral Approach to the Magnetic-Impurity Problem. I

Abstract
The Anderson model is treated using a functional-integral technique. A systematic approach is described which does not resort to expansions in the amplitudes of the oscillating components of the random field, nor in the parameters of the model. The first leg of the program, which selects a given temperature interval, is carried out in detail, and the resulting distribution functions and thermodynamic quantities are calculated. The results are discussed and compared with other approaches to the magnetic-impurity problem.