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Titlebook: Emergence of Temperature in Examples and Related Nuisances in Field Theory; Tamás Sándor Biró,Antal Jakovác Book 2019 The Author(s), under

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Keldysh (Two-Time) Formalism,a relativistic view this phenomenon converts into an off-mass-shell effect, and leads to a generalization of the probabilistic view of classical statistical physics to the use of a density operator and its spectral transform, the Wigner function. Yet, the Wigner function is just a particular view of the quantum field theoretical propagator.
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Fluctuation, Dissipation, and Non-Boltzmann Energy Distributions,iscuss general questions of thermal ensembles and the stochastic dynamics picture of a practically unknown environment, and at the end we sketch briefly the way the Keldysh formalism incorporates physical noise into its descriptive framework.
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Maverick Views and Problems,y, an in-depth study of an exactly solvable model Lagrangian will demonstrate how the spectral function view resolves Gibbs’ paradox in a natural way, and how this can be used for a simulation of the equation of state obtained in large scale lattice QCD studies.
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2191-5423 s, still has some fundamental challenges to face. One such challenge is to understand the emergence of complexity in the behavior of interacting elementary fields, including among other things nontrivial phase structures of elementary matter at high energy density or an atypical emergence of statist
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https://doi.org/10.1007/978-3-031-11335-2coupling between the off-mass-shell relation of the classical four-momentum and the quantum scale variation of the magnitude of the quantum probability density. The classical dispersion relation . is no longer valid, unless one deals with plane waves of constant amplitude in space and time.
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https://doi.org/10.1007/b118340iscuss general questions of thermal ensembles and the stochastic dynamics picture of a practically unknown environment, and at the end we sketch briefly the way the Keldysh formalism incorporates physical noise into its descriptive framework.
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