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| Title | Concepts in Hadron Physics : Proceedings of the X. Internationale Universit??tswochen f??r Kernphysik 1971 der Karl-Franzens-Universit??t Graz, at Schladming (Steiermark, Austria), 1st March ??? 13th March 1971 |
| Author(s) | Urban, Paul |
| Publication | Vienna, Springer Vienna, 1971. |
| Description | XVII, 424 p : online resource |
| Abstract Note | Soluble quantum field theory models are a rare commodity. An infinite number of degrees of freedom and noncompact invariance groups have a nasty habit of ex?? ploding in the model-makers' face. Nevertheless, impor?? tant progress has recently been made in the class of superrenormalizable relativistic theories, such as a self-interacting boson in a two-dimensional space time [ 1]. These results have been obtained starting with the free field and adding the interaction in a carefully controlled way. Yet, the models successfully studied in this way do DQ~ have an infinite field strength renormalization, which, at least according to perturbation theory, should appear for realistic relativistic models in four-dimensional space time. ~2~!Y~~!9n_~g_~h~_~gg~1 The ultralocal scalar field theories discussed in these lecture notes are likewise motivated by relativistic theories but are based on a different approximatiGn. This approximation formally amounts to dropping the spatial gradient term from the Hamiltonian rather than the non?? linear interaction. For a self-interacting boson field in a space-time of (s+l) dimensions (s~l), the classical ultralocal model Hamiltonian reads (1-1) The quantum theory of this model is the subject of the present paper. This model differs formally from a rela?? tivistic theory by the term f![Z~Cl(~)]2 d~ which, it is hoped, can, in one or another way, be added as a pertur?? 229 bation in the quantum theory. However, that still remains a problem for the future, and we confine our remarks to . . a careful study of the "unperturbed" model (1-1) |
| ISBN,Price | 9783709182840 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. Elementary particles (Physics)
4. Elementary Particles, Quantum Field Theory
5. Engineering economics
6. Engineering Economics, Organization, Logistics, Marketing
7. Engineering economy
8. QUANTUM FIELD THEORY
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| Item Type | eBook |
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| I04005 |
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