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Axiomatic Analyticity Properties and Representations of Particles in Thermal Quantum Field Theory

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arxiv hep-th/9606046 v1 pith:AX2RWO2V submitted 1996-06-10 hep-th hep-ph

Jacques Bros , Detlev Buchholz This is my paper · ORCID
classification hep-thhep-ph
keywords fieldpropertiesquantumrepresentationtheoryanalyticityaxiomaticframework
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abstract

We provide an axiomatic framework for Quantum Field Theory at finite temperature which implies the existence of general analyticity properties of the $ n $-point functions; the latter parallel the properties derived from the usual Wightman axioms in the vacuum representation of Quantum Field Theory. Complete results are given for the propagators, including a generalization of the K\"all\'en-Lehmann representation. Some known examples of ``hard-thermal-loop calculations'' and the representation of ``quasiparticles'' are discussed in this general framework.

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Cited by 4 Pith papers

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  1. Resonances at finite temperature from the lattice

    hep-lat 2026-07 conditional novelty 7.0 of 10

    Thermoparticle states are used to generalize the two-particle finite-volume quantization condition to finite temperature, keeping the kinematic function finite at all real energies and opening a route to thermal reson...

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    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.

  3. 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.

  4. Spectral properties of pseudo-scalar mesons through the QCD chiral crossover

    hep-ph 2024-12 conditional novelty 2.0 of 10

    Thermal meson spectral functions near the QCD chiral crossover can be described by broadened vacuum pion and kaon states with negligible continuum contributions.

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