M. Alimohammadi et M. Khorrami, GREENS-FUNCTIONS OF 2-DIMENSIONAL YANG-MILLS THEORIES ON NONORIENTABLE SURFACES, Zeitschrift fur Physik. C, Particles and fields, 76(4), 1997, pp. 729-731
By using the path integral method, we calculate the Green functions of
the field strength of Yang-Mills theories on arbitrary nonorientable
surfaces in Schwinger-Fock gauge. We show that the non-gauge invariant
correlators consist of a free part and an almost x-independent part.
We also show that the gauge invariant n-point functions are those corr
esponding to the free part, as in the case of orientable surfaces.