2012/03/31 by Luigi Del Debbio, Alistair Hart, Enrico Rinaldi · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Epistemology #Philosophy #Physics #Quantum Chromodynamics and Particle Interactions #Theoretical physics #hep-lat #hep-ph
paper · pdf · doi:10.1007/jhep07(2012)178
published as JHEP 07 (2012) 178 · 38 pages (7 pages of Appendix), 10 tables, 21 figures. Minor corrections. Version accepted for publication in JHEP
openalex publication_date 2012/07/01 · arxiv created 2012/07/03 · arxiv updated 2012/08/10 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
The low-energy dynamics of five-dimensional Yang-Mills theories compactified on S1 can be described by a four-dimensional gauge theory coupled to a scalar field in the adjoint representation of the gauge group. Perturbative calculations suggest that the mass of this elementary scalar field is protected against power divergences, and is controlled by the size of the extra dimension R. As a first step in the study of this phenomenon beyond perturbation theory, we investigate the phase diagram of a SU(2) Yang-Mills theory in five dimensions regularized on anisotropic lattices and we determine the ratios of the relevant physical scales. The lattice system shows a dimensionally reduced phase where the four-dimensional correlation length is much larger than the size of the extra dimension, but still smaller than the four-dimensional volume. In this region of the bare parameter space, at energies below 1/R, the non-perturbative spectrum contains a light scalar state. This state has a mass that is independent of the cut-off, and a small overlap with glueball operators. Our results suggest that light scalar fields can be introduced in a lattice theory using compactified extra dimensions, rather than fine tuning the bare mass parameter.