Critical Temperature for the \LAMBDA (\PHI⁴)₄ Theory within the \DELTA -Expansion

1992/11/06 by Rudnei O. Ramos, Ramos, Rudnei O.
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9211220

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

arxiv created 1992/11/06 · openalex publication_date 1992/11/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We apply the δ-expansion perturbation scheme to the λϕ₄ self-interacting scalar field theory in 3+1 D at finite temperature. In the δ-expansion the interaction term is written as λ(ϕ²)^{1 + δ} and δ 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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