Non-perturbative approaches to a relativistic quantum field theory of nuclear matter
In this treatise, approximate solutions are developed for a relativistic many-body quantum field theory of nuclear matter which go beyond perturbation theory. This is necessitated by the large coupling constants that are needed to describe the strongly interacting nature of the constituent particles, nucleons and mesons. The Mean-Field Approximation (MFA) is revisited and the proof of Lorentz covariance is extended to all nuclear flow velocities and nuclear densities. The theory is also shown to prohibit flow velocities beyond the speed of light. Dimensional arguments are used to demonstrate that the MFA is the correct high density solution of the full field theory. The MFA is applied to two-dimensional rotating systems of finite spatial extent and a Thomas-Fermi approximation is shown to exhibit only uniform rotation but with a deformation of the nuclear surface. Examples of self-bound and artificially bound systems are given. Centrifugal forces cause self-bound systems to break up at high rotational frequencies. The Self-Consistent Hartree Approximation (SCHA), the summation of tadpole diagrams, is reformulated in such a way as to incorporate self-consistency at the outset, through the renormalization procedure to the final, finite result. The Self-Consistent Fock Approximation (SCFA), the summation of exchange diagrams, if formulted and renormalized in a self-consistent fashion by the utilization of spectral representations. This is the first exposition of the regularization of momentum dependent Feynman amplitudes to all orders in perturbation theory. Explicit functional forms are presented as well as numerical results.
- Research Organization:
- Stanford Univ., CA (USA)
- OSTI ID:
- 7095570
- Resource Relation:
- Other Information: Thesis (Ph. D.)
- Country of Publication:
- United States
- Language:
- English
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QUANTUM FIELD THEORY
DIAGRAMS
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MANY-BODY PROBLEM
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653002* - Nuclear Theory- Nuclear Matter
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