Zero-temperature limit and statistical quasiparticles in many-body perturbation theory

Abstract

The order-by-order renormalization of the self-consistent mean-field potential in many-body perturbation theory for normal Fermi systems is investigated in detail. Building on previous work mainly by Balian and de Dominicis, as a key result we derive a thermodynamic perturbation series that manifests the consistency of the adiabatic zero-temperature formalism with perturbative statistical mechanics---for both isotropic and anisotropic systems---and satisfies at each order and for all temperatures the thermodynamic relations associated with Fermiliquid theory. These properties are proved to all orders.

minor improvements, matches published version; 29 pages, 8 figures

References in corpus (15)

• Chiral effective field theory and nuclear forces
• Improved nuclear matter calculations from chiral low-momentum interactions
• Neutron matter at next-to-next-to-next-to-leading order in chiral effective field theory
• Chiral interactions up to next-to-next-to-next-to-leading order and nuclear saturation
• Neutron matter from chiral two- and three-nucleon calculations up to N${}^3$LO
• Eigenvector continuation with subspace learning
• Towards order-by-order calculations of the nuclear and neutron matter equations of state in chiral effective field theory
• Correlated density-dependent chiral forces for infinite matter calculations within the Green's function approach
• Natural orbitals for ab initio no-core shell model calculations
• Resummation of diagrammatic series with zero convergence radius for strongly correlated fermions
• Microscopic predictions of the nuclear matter liquid-gas phase transition
• Neutron matter at finite temperature
• Finite-temperature second-order many-body perturbation theory revisited
• Nuclear and neutron matter equations of state from high-quality potentials up to fifth order of the chiral expansion
• Isospin-Asymmetry Dependence of the Thermodynamic Nuclear Equation of State in Many-Body Perturbation Theory

Cited by in corpus (7)

• Chiral Effective Field Theory and the High-Density Nuclear Equation of State
• New equations of state constrained by nuclear physics, observations, and QCD calculations of high-density nuclear matter
• Nuclear equation of state for arbitrary proton fraction and temperature based on chiral effective field theory and a Gaussian process emulator
• Neutron matter at finite temperature based on chiral effective field theory interactions
• Effective field theory for dilute Fermi systems at fourth order
• From weak to strong: constrained extrapolation of perturbation series with applications to dilute Fermi systems
• Constrained extrapolation problem and order-dependent mappings