Concepts in Hadron Physics

Name: Concepts in Hadron Physics
Brand: Springer Verlag GmbH
SKU: 9783709182864
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Proceedings of the X. Internationale Universitatswochen fur Kernphysik 1971 der Karl-Franzens-Universitat Graz, at Schladming (Steiermark, Austria), 1st March - 13th March 1971

Szerző: Paul Urban

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer Verlag GmbH

Elérhetőség: Beszállítói készleten

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Soluble quantum field theory models are a rare commodity. An infinite number of degrees of freedom a...

Információk a könyvről

Szerző

Paul Urban

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2012

oldal

424

EAN

9783709182864

ISBN

3709182867

Enbook ID

02119003

Kiadó

Springer Verlag GmbH

Súly

768

Méretek

170 x 244 x 25

Teljes leírás

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).

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Concepts in Hadron Physics

Proceedings of the X. Internationale Universitatswochen fur Kernphysik 1971 der Karl-Franzens-Universitat Graz, at Schladming (Steiermark, Austria), 1st March - 13th March 1971

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