A linear realization of the BRST symmetry

Understand

In this Letter, we propose a model which is equivalent to the Yang-Mills theory at long distances but for which all symmetries are realized linearly.

• On top of the gauge and Fadeev-Popov ghosts fields, the model presents several massive fields, all of which can be merged in a unique vector field with support in a curved superspace.
• The equivalence of this model with the gauge-fixed Yang-Mills theory is shown to result from the decoupling of these extra massive modes at small momenta.
• Most of the symmetries of Yang-Mills theory, including the famous BRST symmetry, can be interpreted in this way as isometries of the superspace.