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Screened Perturbation Theory to Three Loops

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arxiv hep-ph/0007159 v2 pith:5O7RGHYJ submitted 2000-07-14 hep-ph

classification hep-ph
keywords massorderexpansionperturbationscreenedtheorytwo-loopadding
verification ladder T0 review T1 audit T2 compute T3 formal
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The thermal physics of a massless scalar field with a phi^4 interaction is studied within screened perturbation theory (SPT). In this method the perturbative expansion is reorganized by adding and subtracting a mass term in the lagrangian. We consider several different mass prescriptions that generalize the one-loop gap equation to two-loop order. We calculate the pressure and entropy to three-loop order and the screening mass to two-loop order. In contrast to the weak-coupling expansion, the SPT-improved approximations appear to converge even for rather large values of the coupling constant.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 99 citations worldwide. Full citation record

  1. Scale dependence improvement of the quartic scalar field thermal effective potential in the optimized perturbation theory

    hep-ph 2025-09 unverdicted novelty 6.0 of 10

    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.

  2. Quark and hybrid stars with renormalization group improvement of NNLO perturbative QCD

    nucl-th 2026-06 unverdicted novelty 5.0 of 10

    RGOPT-resummed NNLO pQCD EoS for massive quarks in beta equilibrium is fitted and applied to construct pure quark stars (X=3.08-3.58) and hybrid stars (X~2-2.98) compatible with PSR J0740+6620 and GW190814.

  3. Emergent chiral spin symmetry, non-perturbative dynamics and thermoparticles in hot QCD

    hep-ph 2025-12 unverdicted novelty 3.0 of 10

    Lattice data indicate hot QCD features an intermediate phase with emergent chiral spin symmetry and thermoparticles as thermal constituents, differing from perturbative expectations.

  4. Non-perturbative constraints on perturbation theory at finite temperature

    hep-ph 2024-12 conditional novelty 3.0 of 10

    Two-loop finite-temperature perturbation theory disagrees with lattice phi^4 data at high temperature, while thermoparticle spectral functions keep the temporal correlator consistent.

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