The Non-Trivial Phase of $φ^{4}$-Theory in an External Magnetic Field and at Finite Temperature

Details The Non-Trivial Phase of $φ^{4}$-Theory in an External Magnetic Field and at Finite Temperature The Non-Trivial Phase of $φ^{4}$-Theory in an External Magnetic Field and at Finite Temperature

1993-10-18

arxiv.org/abs/hep-ph/9310303v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 LaTex pages (3 figures available on request), UNITUE-THEP-11-1993

Scientific paper

The effective potential for the order parameter $\phi ^{\dagger } \phi$ is investigated in massless $\phi ^{4}$-theory in the presence of magnetic fields at finite temperature. It is found that the first order nature of the phase transition from the non-trivial to the perturbative ground state at a critical temperature is unchanged by the presence of magnetic fields, though they do increase the critical temperature and weaken the barrier separating the perturbative from the non-trivial phase. The results might be relevant for the electro-weak phase transition as well as for inflationary models of the early universe.

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