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Abstract
The lowenergy dynamics of fivedimensional YangMills theories compactified on S^1 can be described by a fourdimensional 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) YangMills 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 fourdimensional correlation length is much larger than the size of the extra dimension, but still smaller than the fourdimensional volume. In this region of the bare parameter space, at energies below 1/R, the nonperturbative spectrum contains a \emph{light} scalar state. This state has a mass that is independent of the cutoff, 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.
Original language  English 

Article number  178 
Number of pages  38 
Journal  Journal of High Energy Physics 
Volume  2012 
Issue number  7 
DOIs  
Publication status  Published  30 Jul 2012 
Keywords
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Projects
 1 Finished

Particle Theory at the Tait Institute
Ball, R., Berera, A., Boyle, P., Del Debbio, L., FigueroaO'Farrill, J., Gardi, E., Horsley, R., Kennedy, A., Kenway, R., Pendleton, B. & Simon Soler, J.
1/10/11 → 30/09/15
Project: Research