Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-06-22
Phys.Lett. B632 (2006) 439-444
Physics
High Energy Physics
High Energy Physics - Phenomenology
6 pages, no figures, submitted to PLB
Scientific paper
10.1016/j.physletb.2005.10.071
We consider gauge field theories in the presence of ensembles of vector backgrounds. While Lorentz invariance is explicitely broken in the presence of any single background, here, the Lorentz invariance of the theory is restored by averaging over a Lorentz invariant ensemble of backgrounds, i.e. a set of background vectors that is mapped onto itself under Lorentz transformations. This framewkork is used to study the effects of a non-trivial but Lorentz invariant vacuum structure or mass dimension two vector condensates by identifying the background with a shift of the gauge field. Up to now, the ensembles used in the literature comprise configurations corresponding to non-zero field tensors together with such with vanishing field strength. We find that even when constraining the ensembles to pure gauge configurations, the usual high-energy degrees of freedom are removed from the spectrum of asymptotic states in the presence of said backgrounds in euclidean and in Minkowski space. We establish this result not only for the propagators to all orders in the background and otherwise at tree level but for the full propagator.
Dietrich Dennis. D.
Hofmann Stefan
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