5. Theoretical Physics (CSN4)

Extra dimensional gauge theories on the lattice

by Dr Enrico Rinaldi (The University of Edinburgh)

Aula Seminari (LNF)

Aula Seminari


Via Enrico Fermi, 40 00044 Frascati (Roma)
In the talk I will present the phase diagram of the SU(2) Yang-Mills theory in 5 dimensions, obtained by numerical simulations of a discretised version of this theory. 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. I will show how, by tuning the bare parameters of the lattice model, one can 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. Other recent works on five-dimensional theories on the lattice will be reviewed as well.