Pith. sign in

Optimized Perturbation Theory at Finite Temperature--- Two-Loop Analysis---

1 Pith paper cite this work. Polarity classification is still indexing.

1 Pith paper citing it
abstract

We study the optimized perturbation theory (OPT) at finite temperature, which is a self-consistent resummation method. Firstly, we generalize the idea of the OPT to optimize the coupling constant in lambda phi^4 theory, and give a proof of the renormalizability of this generalized OPT. Secondly, the principle of minimal sensitivity and the criterion of the fastest apparent convergence, which are conditions to determine the optimal parameter values, are examined in lambda phi^4 theory. Both conditions exhibit a second-order transition at finite temperature with critical exponent beta = 0.5 in the two-loop approximation.

citation-role summary

background 1

citation-polarity summary

fields

hep-ph 1

years

2025 1

verdicts

CONDITIONAL 1

roles

background 1

polarities

background 1

representative citing papers

citing papers explorer

Showing 1 of 1 citing paper.

  • Cosmological phase transitions without high-temperature expansions hep-ph · 2025-07-09 · conditional · none · ref 94 · internal anchor

    A hard-soft split combined with a finite-temperature Loop-Tree Duality method computes the resummed 4d thermal effective potential without high-temperature expansions, demonstrated in a scalar-Yukawa model.