Critical Temperature for the $\LAMBDA (\PHI^{4})_{4}$ Theory within the $\DELTA$ -Expansion

Details Critical Temperature for the $\LAMBDA (\PHI^{4})_{4}$ Theory within the $\DELTA$ -Expansion Critical Temperature for the $\LAMBDA (\PHI^{4})_{4}$ Theory within the $\DELTA$ -Expansion

1992-11-06

arxiv.org/abs/hep-ph/9211220v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

08 pages, LATEX, DART-HEP-92/07

Scientific paper

We apply the $\delta$-expansion perturbation scheme to the $\lambda \phi_{4}$ self-interacting scalar field theory in 3+1 D at finite temperature. In the $\delta$-expansion the interaction term is written as $\lambda (\phi^{2})^{1 + \delta}$ and $\delta$ is considered as the perturbation parameter. We compute, in this perturbation approach, the renormalized mass at finite temperature from which we get the critical temperature. The results are compared with the usual loop-expansion at finite temperature.

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