A constrained HMC algorithm with the Rattle integrator measures the derivative of the effective Higgs potential over the full field range in 4D Abelian-Higgs and 5D SU(2) gauge theories.
Non-perturbative mass spectrum of an extra-dimensional orbifold
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abstract
We analyse non-perturbatively a five-dimensional SU(2) gauge theory compactified on the S^1/Z_2 orbifold. In particular, we present simulation results for the mass spectrum of the theory, which contains a Higgs and a photon. The Higgs mass is found to be free of divergences without fine-tuning. The photon mass is non-zero, thus providing us with the first lattice evidence for a Higgs mechanism derived from an extra dimension. Data from the static potential are consistent with dimensional reduction at low energies.
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Constrained Hybrid Monte Carlo algorithms for gauge-Higgs models
A constrained HMC algorithm with the Rattle integrator measures the derivative of the effective Higgs potential over the full field range in 4D Abelian-Higgs and 5D SU(2) gauge theories.