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.
The Massive Thermal Basketball Diagram
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abstract
The "basketball diagram" is a three-loop vacuum diagram for a scalar field theory that cannot be expressed in terms of one-loop diagrams. We calculate this diagram for a massive scalar field at nonzero temperature, reducing it to expressions involving three-dimensional integrals that can be easily evaluated numerically. We use this result to calculate the free energy for a massive scalar field with a phi^4 interaction to three-loop order.
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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.