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

Source: [The Non-Trivial Phase of $\\phi ^{4}$-Theory in an External Magnetic Field and at Finite Temperature](<https://www.sota2.com/research/paper/68fa23d02c2a37601939c83c>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T07:44:58.578Z

Authors: K. Langfeld

Published: 1993-10-18T10:13:54.000Z

## Abstract

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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-ph/9310303>)

[PDF](<https://arxiv.org/pdf/hep-ph/9310303.pdf>)