Concepts in Hadron Physics

Concepts in Hadron Physics

Author: Paul Urban

Publisher: Springer Science & Business Media

ISBN: 9783709182840

Category: Science

Page: 424

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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).
Concepts in Hadron Physics
Language: en
Pages: 424
Authors: Paul Urban
Categories: Science
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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
Concepts in Hadron Physics
Language: en
Pages: 424
Authors: Paul Urban
Categories: Science
Type: BOOK - Published: 2012-01-25 - Publisher: Springer

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
Current Issues in Hadron Physics
Language: en
Pages: 679
Authors: J. Thanh Van Tran
Categories: Hadrons
Type: BOOK - Published: 1988 - Publisher: Atlantica Séguier Frontières

Books about Current Issues in Hadron Physics
Concepts in hadron physics
Language: en
Pages: 424
Authors: J. Thanh Van Tran
Categories: Hadrons
Type: BOOK - Published: 1971 - Publisher:

Books about Concepts in hadron physics
Progress in Physics, vol. 1/2010
Language: en
Pages: 116
Authors: Dmitri Rabounski Larissa Borissova, Florentin Smarandache, Larissa Borissova
Categories: Hadrons
Type: BOOK - Published: - Publisher: Infinite Study

Progress in Physics has been created for publications on advanced studies in theoretical and experimental physics, including related themes from mathematics.