# A Lattice Monte Carlo Study of the Hot Electroweak Phase Transition Source: [A Lattice Monte Carlo Study of the Hot Electroweak Phase Transition]() Collection index: [llms.txt]() Data updated: 2025-10-24T07:58:42.817Z Authors: K. Kajantie, K. Rummukainen, M. Shaposhnikov Published: 1993-05-28T15:25:46.000Z ## Abstract We study the finite temperature electroweak phase transition with lattice perturbation theory and Monte Carlo techniques. Dimensional reduction is used to approximate the full four-dimensional SU(2) + a fundamental doublet Higgs theory by an effective three-dimensional SU(2) + adjoint Higgs + fundamental Higgs theory with coefficients depending on temperature via screening masses and mass counterterms. Fermions contribute to the effective theory only via the $N\_F$ and $m\_{\\rm top}$ dependence of the coefficients. For sufficiently small lattices ($N^3 \< 30^3$ for $m\_H$ = 35 GeV) the study of the one-loop lattice effective potential shows the existence of the {\\em second} order phase transition even for the small Higgs masses. At the same time, a clear signal of a {\\em first order} phase transition is seen on the lattice simulations with a transition temperature close to but less than the value determined from the perturbative calculations. This indicates that the dynamics of the first order electroweak phase transition depends strongly on non-perturbative effects and is not exclusively related to the so-called $\\phi^3$ term in the effective potential. ## Recorded benchmark results A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage. ## Original sources and implementation [Original paper]() [PDF]()