A Lattice Monte Carlo Study of the Hot Electroweak Phase Transition

Details A Lattice Monte Carlo Study of the Hot Electroweak Phase Transition A Lattice Monte Carlo Study of the Hot Electroweak Phase Transition

1993-05-28

arxiv.org/abs/hep-ph/9305345v1

Nucl.Phys. B407 (1993) 356-372

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, use latex+epsfig, includes 6 ps-figures, CERN-TH.6901/93

Scientific paper

10.1016/0550-3213(93)90062-T

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.

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