{"product_id":"concepts-in-hadron-physics-proceedings-of-the-x-internationale-universitatswochen-fur-kernphysik-1971-der-karl-franzens","title":"Concepts in Hadron Physics","description":"\u003cp\u003e\"Concepts in Hadron Physics\" by Paul Urban is a astronomy book and space science reference focused on Cosmology. Best for students, researchers, and serious astronomy enthusiasts.\u003c\/p\u003e\n\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","brand":"Springer","offers":[{"title":"Default Title","offer_id":46422046507207,"sku":"1-99-539-000389","price":54.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0736\/9575\/6487\/files\/9783709182864.jpg?v=1776390938","url":"https:\/\/snowflakeskies.com\/products\/concepts-in-hadron-physics-proceedings-of-the-x-internationale-universitatswochen-fur-kernphysik-1971-der-karl-franzens","provider":"Snowflake Skies","version":"1.0","type":"link"}