Tables of divergent Feynman integrals in the axial and light-cone gauges (Q1075736)

The paper considers the evaluation of 2-point Feynman integrals of the form \[ \int d^{2w} q[(p-q)^ 2]^ k\quad (q^ 2)^{\mu}\quad (\underline q\cdot \underline n)^{2v+s} \] where \(s=0\) or 1, w, k, \(\mu\) and v are arbitrary and p is an external momentum. Two gauges are considered: the axial gauge where \(A\cdot n=0\) (A being the gauge field) and \(n^ 2=0^+\) the light-cone gauge. A particular analytic representation is written as a contour integral and the singular parts of the integral are isolated. The evaluation of the contour integral and the subsequent analysis has been aided by the use of Schoonschip an algebraic manipulator code. Extensive tables are produced. A note added in proof mentions that for the light-cone gauge the integrals considered do not give a renormalizable theory and that a new representation and a new set of tables will be published at a later date.