Kinetic coefficients in a time-dependent Green’s function formalism at finite temperature. (English. Russian original) Zbl 1519.81521
Theor. Math. Phys. 213, No. 3, 1774-1788 (2022); translation from Teor. Mat. Fiz. 213, No. 3, 538-554 (2022).
Summary: We discuss microscopic foundations of dissipation arising in a model Fermi or Bose system with weak local interaction. We consider the dynamics of equilibrium fluctuations in the Keldysh-Schwinger formalism and discuss the relation between dissipation and pinch singularities of perturbation theory diagrams. Using the Dyson equation, we define and calculate the dissipation parameter in the two-loop approximation. We show that this parameter is analogous to Onsager’s kinetic coefficient and is associated with decay in the quasiparticle spectrum.
MSC:
| 81V72 | Particle exchange symmetries in quantum theory (general) |
| 82B30 | Statistical thermodynamics |
| 46L57 | Derivations, dissipations and positive semigroups in \(C^*\)-algebras |
| 53C20 | Global Riemannian geometry, including pinching |
| 81T15 | Perturbative methods of renormalization applied to problems in quantum field theory |
| 82B35 | Irreversible thermodynamics, including Onsager-Machlup theory |
| 81V25 | Other elementary particle theory in quantum theory |
Keywords:
quantum field theory; statistical mechanics; time-dependent Green’s functions at finite temperature; kinetic coefficientReferences:
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