# QCD gluon propagator in axial gauge, polarization sum

 P: 2 Hi! I have a process with multiple feynman diagrams where gluon propagators occur. When I use an axial gauge for the gluon propagator, do I have to use the same n-vector for every propagator? Following this I wonder whether I can use the same n-vector for every polarization sum in axial gauge or have to take different ones. Thanks, Tobias gauge field propagator in general axial gauge: $$G_{\mu\nu}^{ab}(q,\alpha)=\frac{-i\delta^{ab}}{q^{2}}\left(-g^{\mu\nu}-\frac{q_{\mu}n_{\nu}+q_{\nu}n_{\mu}}{qn}+q_{\mu}q_{\nu}\frac{n^{2}+\alp ha q^{2}}{(qn)^{2}}\right)$$
 Sci Advisor HW Helper PF Gold P: 2,606 It seems pretty clear that in deriving the propagator above, one assumes that the vector $$n_\mu$$ doesn't vary with position. If it did, you would have to compute it's Fourier transform and the momentum space Feynman rules would be more complicated. Similarly, $$n_\mu$$ is independent of gauge indices, so there's no freedom to choose different values within a given computation.