{"product_id":"9783709182864","title":"Concepts in Hadron Physics: Proceedings of the X. Internationale Universitätswochen für Kernphysik 1971 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 1st March – 13th March 1971","description":"\u003ch1\u003eConcepts in Hadron Physics: Proceedings of the X. Internationale Universitätswochen für Kernphysik 1971 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 1st March – 13th March 1971\u003c\/h1\u003e \u003ch2\u003eUrban, Paul\u003c\/h2\u003e \u003cp\u003eSoluble 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).\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2012-01-25\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783709182864\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-7091-8284-0\u003c\/p\u003e \u003cp\u003eDimensions: 244.0cm x170.0cm\u003c\/p\u003e \u003cp\u003ePages: 424.0\u003c\/p\u003e ","brand":"Springer Vienna","offers":[{"title":"Default Title","offer_id":44480444694668,"sku":"9783709182864","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783709182864.jpg?v=1757611793","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783709182864","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}