Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2012-03-26
PoS(Lattice 2011)086
Physics
High Energy Physics
High Energy Physics - Lattice
7 pages, 4 figures. Contribution to the XXIX International Symposium on Lattice Field Theory, July 10-16, 2011, Squaw Valley,
Scientific paper
We explore the phase diagram of the SU(2) Yang-Mills theory in 5 dimensions by numerical simulations. The lattice system shows a dimensionally-reduced phase where the extra dimension is small compared to the four dimensional correlation length. In the low-energy regime of this phase, the system behaves like a four-dimensional gauge theory coupled to an adjoint scalar field. By tuning the bare parameters of the lattice model, we identify lines of constant physics, and analyse the behaviour of the non-perturbative scalar mass as a function of the compactification and the cut-off scales. The perturbative prediction that the effective theory contains a light particle with a mass that is independent of the cut-off is tested against non-pertubative results.
Debbio Luigi Del
Rinaldi Enrico
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