A note on the implications of gauge invariance in QCD

Details A note on the implications of gauge invariance in QCD A note on the implications of gauge invariance in QCD

2011-01-18

arxiv.org/abs/1101.3425v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages

Scientific paper

We compare and contrast the implications of gauge invariance for the structure of scattering amplitudes in QED and QCD. We derive the most general analogue for QCD of the famous QED rule that the scattering amplitude must be invariant if the polarization vectors $\epsilon^{{\mu}_j}(k_j)$ of any number of photons undergo the replacement $ \epsilon^{{\mu}_j}(k_j) \rightarrow \epsilon^{{\mu}_j}(k_j) + c \, k_j^{\mu_j} $, where $c$ is an arbitrary constant.

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