Martin Sprenger, Piero Nicolini, Marcus Bleicher
Many modern theories which try to unite gravity with the Standard Model of
particle physics, as e.g. string theory, propose two key modifications to the
commonly known physical theories: i) the existence of additional space
dimensions; ii) the existence of a minimal length distance or maximal
resolution. While extra dimensions have received a wide coverage in
publications over the last ten years (especially due to the prediction of micro
black hole production at the LHC), the phenomenology of models with a minimal
length is still less investigated. In a summer study project for bachelor
students in 2010 we have explored some phenomenological implications of the
potential existence of a minimal length. In this paper we review the idea and
formalism of a quantum gravity induced minimal length in the generalised
uncertainty principle framework as well as in the coherent state approach to
non-commutative geometry. These approaches are effective models which can make
model-independent predictions for experiments and are ideally suited for
phenomenological studies. Pedagogical examples are provided to grasp the
effects of a quantum gravity induced minimal length.
View original:
http://arxiv.org/abs/1202.1500
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