High Temperature Resummation in the Linear δ-Expansion
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The optimized linear $\delta$-expansion is applied to the $\lambda \phi^4$ theory at high temperature. Using the imaginary time formalism the thermal mass is evaluated perturbatively up to order $\delta^2$. A variational procedure associated with the method generates nonperturbative results which are used to obtain the critical temperature for the phase transition. Our results are compared with the ones given by propagator dressing methods.
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Scale dependence improvement of the quartic scalar field thermal effective potential in the optimized perturbation theory
Introduces the variational renormalization group method to improve renormalization-scale stability in the finite-temperature effective potential of λφ⁴ theory compared to optimized perturbation theory alone.
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