We discuss a relativistic transport theory of condensed matter based on a
microscopic system containing bosonic and fermionic degrees of freedom interacting via 3 -
and 4-point interactions. We use the Dyson hierarchy as a solution to the underlying field
theory and truncate this hierarchy by parametrizing the 2-particle-irreducible kernels of the
4- and 5-point vertex functions. We then perform a complete crossing-symmetric reduction
of the 2-particle intermediate states of the theory. We obtain a reduction hierarchy and
show how to explore the quality of our truncation scheme using this reduction hierarchy.
Finally we discuss the problem of regularization of the theory in the case of hadronic matter
by either putting form factors directly in the action or by using dispersion relations to
introduce causal form factors into singular diagrams. / Graduation date: 1992
| Identifer | oai:union.ndltd.org:ORGSU/oai:ir.library.oregonstate.edu:1957/37185 |
| Date | 14 February 1992 |
| Creators | Vischer, Axel P. |
| Source Sets | Oregon State University |
| Language | en_US |
| Detected Language | English |
| Type | Thesis/Dissertation |
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