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Thermodynamical Properties of Nuclear Matter from a newline Self-Consistent Green's Function Approach
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[eng] The main contribution of this thesis concerns the application of the Luttinger-Ward formalism to the study of the thermodynamical properties of nuclear matter. This formalism is devoted to compute the different thermodynamical potentials from the Green's functions and therefore offers a consistent theoretical framework within which the microscopic as well as the macroscopic properties of nuclear matter can be treated at the same level. In this thesis, the Luttinger-Ward formalism has been applied to nuclear matter within two different approximations. The Hartree-Fock approximation leads to unrealistic results, but it is very useful to check the validity of the formalism in the mean-field case. Within the ladder approximation, the application of the Luttinger-Ward formalism leads to analytical results for the thermodynamical potentials in terms of the microscopical properties of the system. Therefore, using the Self-Consistent Green's Function scheme, which offers a realistic description of nuclear systems at the microscopical level, one obtains a set of microscopical properties (spectral functions, NN interaction in the medium, etc) which can be used directly in the calculation of the thermodynamical observables of dense matter. In particular, in this thesis special attention has been paid to the computation of the entropy of a system of correlated nucleons within the dynamical quasi-particle approximation. From this quantity, the free energy as well as other thermodynamical potentials of the system have been computed, leading to a full characterization of nuclear matter at the macroscopic level. In addition, the thermodynamical consistency of the approach has been shown by means of the microscopic and macroscopic chemical potentials. Finally, the liquid-gas phase transition of nuclear matter has been studied at a qualitative level.
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RÍOS HUGUET, Arnau. Thermodynamical Properties of Nuclear Matter from a newline Self-Consistent Green's Function Approach. [consulta: 15 de desembre de 2025]. [Disponible a: https://hdl.handle.net/2445/35494]