Can large fermion chemical potentials suppress the electroweak phase transition ?

Abstract

We calculate the critical temperature $(T_c$) of the electroweak phase transition in the minimal standard model considering simultaneously temperature ($T$) and fermion chemical potential (${\mu }_f$) effects over the effective potential. The calculation is performed in the one-loop approximation to the effective potential at non-zero temperature using the real time formalism of the thermal field theory. We show that it exists a fermion chemical potential critical value (${\mu }_f^c$) for which the Higgs boson condensate vanishes at T=0. If $T$ and ${\mu }_f$ effects are considered simultaneously, it is shown that for ${\mu }_f\ge {\mu }_f^c$ then $T_c^2\le 0$, implying that the electroweak phase transition might not take place.

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