Light scalars in strongly-coupled extra-dimensional theories
arXiv:1203.2116 · doi:10.1007/JHEP07(2012)178
Abstract
The low-energy dynamics of five-dimensional Yang-Mills theories compactified on S^1 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 \emph{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.
38 pages (7 pages of Appendix), 10 tables, 21 figures. Minor corrections. Version accepted for publication in JHEP
References in corpus (20)
- The glueball spectrum from an anisotropic lattice study
- Radiative Corrections to Kaluza-Klein Masses
- Quantum Link Models: A Discrete Approach to Gauge Theories
- The Gauge Hierarchy Problem and Higher Dimensional Gauge Theories
- Locality and exponential error reduction in numerical lattice gauge theory
- Glueballs and k-strings in SU(N) gauge theories : calculations with improved operators
- QCD as a Quantum Link Model
- Bulk and brane radiative effects in gauge theories on orbifolds
- Glueball masses in the large N limit
- Two loop finiteness of Higgs mass and potential in the gauge-Higgs unification
- The spectrum of the three-dimensional adjoint Higgs model and hot SU(2) gauge theory
- Dimensional Reduction and Screening Masses in Pure Gauge Theories at Finite Temperature
- A Study on the Non-perturbative Existence of Yang-Mills Theories with Large Extra Dimensions
- Lattice Gauge Theory Approach to Spontaneous Symmetry Breaking from an Extra Dimension
- The phase diagram of Yang-Mills theory with a compact extra dimension
- On the phase structure of five-dimensional SU(2) gauge theories with anisotropic couplings
- Exploration of the phase diagram of 5D anisotropic SU(2) gauge theory
- Scaling Laws and Effective Dimension in Lattice SU(2) Yang-Mills Theory with a Compactified Extra Dimension
- Mass corrections in string theory and lattice field theory
- Dynamical Gauge Symmetry Breaking by Wilson Lines in the Electroweak Theory
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- Non-perturbative Gauge-Higgs Unification: Symmetries and Order Parameters
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- Five-Dimensional Gauge-Higgs Unification: A Standard Model-Like Spectrum
- The transition to a layered phase in the anisotropic five-dimensional SU(2) Yang-Mills theory
- Phase structure of pure SU(3) lattice gauge theory in 5 dimensions
- UV completion of extradimensional Yang-Mills theory for Gauge-Higgs unification
- On the large N limit of SU(N) lattice gauge theories in five dimensions
- Searching for a continuum 4D field theory arising from a 5D non-abelian gauge theory
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