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The phase diagram of five-dimensional SU(2) gauge theories with one compactified dimension on anisotropic lattices has a rich structure. In this contribution we show how to control non-perturbatively the scale hierarchy between the cut-off and the compactification scale in the bare parameter space. There exists a set of strong bare couplings where the the five-dimensional lattice theory can be described by an effective four-dimensional theory with a scalar field in the adjoint representation. We present a detailed study of the light scalar spectrum as it arises from the non-perturbative dynamics of the full five-dimensional lattice theory. We also investigate the mixing with scalar glueball states in the attempt to further establish the extra-dimensional nature of light scalar states.
|Journal||Proceedings of Science|
|Issue number||Lattice 2012|
|Publication status||Published - 5 Nov 2012|
|Event||30th International Symposium on Lattice Field Theory - Lattice 2012 - Cairns, Australia|
Duration: 24 Jun 2012 → 29 Jun 2012