1207.5233 (Alfonso R. Zerwekh)

On the Quantum Chromodynamics of a Massive Vector Field in the Adjoint
Representation    [PDF]

Alfonso R. Zerwekh

In this paper, I explore the construction of the QCD of a massive color-octet vector field without introducing higher structures like extended gauge symmetries, extra dimensions or scalar fields. I show that gauge invariance is not enough to constrain the couplings. Nevertheless the requirement of unitarity fixes the values of the coupling constants, which otherwise would be arbitrary, and opens a new discrete symmetry. On the other hand, a judicious definition of the gauge fixing terms modify the propagator of the massive field making it well-behaved in the ultra-violet limit. The new discrete symmetry also makes appear a dark matter candidate. Additionally it is shown that the model can be formulated as a Yang-Mills theory with two connections. I discuss the phenomenological implications of the model and speculate about its renormalizability.

View original: http://arxiv.org/abs/1207.5233