Nonperturbative Contributions to the Hot Electroweak Potential and the Crossover

Details Nonperturbative Contributions to the Hot Electroweak Potential and the Crossover Nonperturbative Contributions to the Hot Electroweak Potential and the Crossover

1998-04-28

arxiv.org/abs/hep-ph/9804441v2

Nucl.Phys. B539 (1999) 477-512

Physics

High Energy Physics

High Energy Physics - Phenomenology

33 pages LaTeX, 8 figs using epsf; revised version (to be published in Nucl. Phys. B)

Scientific paper

10.1016/S0550-3213(98)00777-9

We discuss nonperturbative contributions to the 3-dimensional one-loop effective potential of the electroweak theory at high temperatures in the framework of the stochastic vacuum model. It assumes a gauge-field background with Gaussian correlations which leads to confinement. The instability of =0 in Yang-Mills theory appears for small Higgs expectation value <\phi^2> in an IR regularized form. The gauge boson propagator obtains a positive momentum-dependent ``diamagnetic'' effective (mass)^2 due to confinement effects and a negative one due to ``paramagnetic'' spin-spin interactions which are related to the =0 instability. Numerical evaluation of an approximate effective potential containing these masses shows qualitatively the fading away of the first-order phase transition with increasing Higgs mass which was observed in lattice calculations. The crossover point can be roughly determined postulating that the effective \phi^4 and \phi^2 terms vanish there.

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