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Nonperturbative Contributions to the Hot Electroweak Potential and the Crossover

S. J. Huber·A. Laser·M. Reuter·M. G. Schmidt
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Abstract

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 <ϕ^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 ϕ^4 and ϕ^2 terms vanish there.

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S. J. Huber, A. Laser, M. Reuter, M. G. Schmidt. 1998-11-23. Nonperturbative Contributions to the Hot Electroweak Potential and the Crossover. https://doi.org/10.1016/s0550-3213(98)00777-9

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