1997/02/28 by W. H. Tang, Wai Hung Tang, Jan Smit +1 · 1 citation
Physics and Astronomy · #Electroweak interaction #Gauge (firearms) #Higgs boson #High-Energy Particle Collisions Research #Invariant (physics) #Lattice (music) #Particle physics theoretical and experimental studies #Perturbation (astronomy) #Plasmon #Quantum #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph
paper · pdf · doi:10.1016/s0550-3213(98)81019-5
published as Nucl.Phys. B510 (1998) 401-420 · 27 pages, latex, 13 figures. Improved presentation, data unchanged. New is the conclusion that the apparent lattice spacing independence of the `plasmon' frequency is compatible with the divergencies expected from perturbation theory. (Version resubmitted to NPB on 17 July 1997.)
arxiv created 1997/08/18 · openalex publication_date 1998/01/01 · arxiv updated 2015/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Using the (effective) classical approximation, we compute numerically time-dependent correlation functions in the SU(2)-Higgs model around the electroweak phase transition, for mH ≈ mW. The parameters of the classical model have been determined previously by the dimensional reduction relations for time-independent correlators. The H and W correlation functions correspond to gauge invariant fields. They show damped oscillatory behavior from which we extract frequencies \om and damping rates \gm. In the Higgs phase the damping rates have roughly the values obtained in analytic calculations in the quantum theory. In the plasma phase (where analytic estimates for gauge invariant fields are not available), the damping rate associated with H is an order of magnitude larger than in the Higgs phase, while the W correlator appears to be overdamped, with a small rate. The frequency \omH shows a clear dip at the transition. The results are approximately independent of the lattice spacing, but this appears to be compatible with the lattice spacing dependence expected from perturbation theory.