Artikelnummer | 9783838110103 |
---|---|
Produkttyp | Buch |
Preis | 71,00 CHF |
Verfügbarkeit | Lieferbar |
Einband | Kartonierter Einband (Kt) |
Meldetext | Folgt in ca. 10 Arbeitstagen |
Autor | Karbstein, Felix |
Verlag | Südwestdeutscher Verlag für Hochschulschriften |
Weight | 0,0 |
Erscheinungsjahr | 20090819 |
Seitenangabe | 96 |
Sprache | ger |
Anzahl der Bewertungen | 0 |
Integrating out the Dirac Sea Buchkatalog
We introduce a new method for dealing with fermionic quantum field theories amenable to a mean-field-type approximation. In this book we focus on the relativistic Hartree approximation. Our aim is to integrate out the Dirac sea and derive a "no-sea effective theory" with positive energy single particle states only. As the derivation of the no-sea effective theory involves only standard Feynman diagrams, our approach is quite general and not restricted to particular space-time dimensions. We develop and illustrate the approach in the "large N" limit of the Gross-Neveu model family in 1+1 dimensions, which serves as an ideal testing ground for our no-sea effective theory approach. The chiral Gross-Neveu model, also referred to as Nambu-Jona-Lasinio model, turns out to be of particular interest. In this case, we explicitly derive a consistent effective theory featuring both elementary "Pi meson" fields and (positive energy) "quark" fields, starting from a purely fermionic quantum field theory. In the second part of this book, we apply our approach to the Walecka model in 1+1 and 3+1 dimensions.
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